diff --git a/notebooks/KinematicChain.ipynb b/notebooks/KinematicChain.ipynb old mode 100755 new mode 100644 index 9787920..3043103 --- a/notebooks/KinematicChain.ipynb +++ b/notebooks/KinematicChain.ipynb @@ -1,2490 +1,2428 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "# Kinematic chain in a plane (2D)\n", - "\n", - "> Marcos Duarte, Renato Naville Watanabe \n", - "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br/) \n", - "> Federal University of ABC, Brazil" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "toc": true - }, - "source": [ - "

Contents

\n", - "
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "## Introduction\n", - "\n", - "
\n", - "\n", - "**Kinematic chain refers to an assembly of rigid bodies (links) connected by joints that is the mathematical model for a mechanical system which in turn can represent a biological system such as the human body** ([Wikipedia](https://en.wikipedia.org/wiki/Kinematic_chain)). \n", - "\n", - "The term chain refers to the fact that the links are constrained by their connections (typically, by a hinge joint which is also called pin joint or revolute joint) to other links. As consequence of this constraint, a kinematic chain in a plane is an example of circular motion of a rigid object. \n", - "\n", - "Chapter 16 of Ruina and Rudra's book and chapter 2 of the Rade's book are a good formal introduction on the topic of circular motion of a rigid object anmd sections 2.7 and 2.8 of Rade's book covers specifically kinematic chains. However, in this notebook we will not employ the mathematical formalism introduced in those chapters - the concept of a rotating reference frame and the related rotation matrix - we cover these subjects in the notebook [Rigid-body transformations (2D)](https://nbviewer.jupyter.org/github/BMClab/BMC/blob/master/notebooks/Transformation2D.ipynb). \n", - "\n", - "Here, we will describe the kinematics of a chain in a Cartesian coordinate system using solely trigonometry and calculus. This approach is simpler and more intuitive but it gets too complicated for a kinematic chain with many links or in the 3D space. For such more complicated problems, indeed it would be recommended using rigid transformations (see for example, Siciliano et al. (2009)). \n", - "\n", - "We will deduce the kinematic properties of kinematic chains algebraically using [Sympy](http://sympy.org/), a Python library for symbolic mathematics. In Sympy, we could have used the [mechanics module](http://docs.sympy.org/latest/modules/physics/mechanics/index.html), a specific module for creation of symbolic equations of motion for multibody systems, but let's deduce most of the stuff by ourselves to understand the details. \n", - "\n", - "

Figure. The human body modeled as a kinematic chain (image from Wikipedia).

" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "## Properties of kinematic chains\n", - "\n", - "For a kinematic chain, the **base** is the extremity (origin) of a kinematic chain which is typically considered attached to the ground, body or fixed. The **endpoint** is the other extremity (end) of a kinematic chain and typically can move. In robotics, the term **end-effector** is used and usually refers to a last link (rigid body) in this chain. \n", - "\n", - "In topological terms, a kinematic chain is termed **open** when there is only one sequence of links connecting the two ends of the chain. Otherwise it's termed **closed** and in this case a sequence of links forms a loop. A kinematic chain can be classified as **serial** or **parallel** or a **mixed** of both. In a serial chain the links are connected in a serial order. A serial chain is an open chain, otherwise it is a parallel chain or a branched chain (e.g., hand and fingers). \n", - "\n", - "Although the definition above is clear and classic in mechanics, it is not the definition used by health professionals (clinicians and athletic trainers) when describing human movement. They refer to human joints and segments as a closed or open kinematic (or kinetic) chain simply if the distal segment (typically the foot or hand) is fixed (closed chain) or not (open chain). This difference in definition sometimes will result in different classifications. For example, a person standing on one leg is an open kinematic chain in mechanics, but closed according to the latter definition. In this text we will be consistent with mechanics, but keep in mind this difference when interacting with clinicians and athletic trainers.\n", - "\n", - "Another important term to characterize a kinematic chain is **degree of freedom (DOF)**. In mechanics, the degree of freedom of a mechanical system is the number of independent parameters that define its configuration or that determine the state of a physical system. A particle in the 3D space has three DOFs because we need three coordinates to specify its position. A rigid body in the 3D space has six DOFs because we need three coordinates of one point at the body to specify its position and three angles to to specify its orientation in order to completely define the configuration of the rigid body. For a link attached to a fixed body by a hinge joint in a plane, all we need to define the configuration of the link is one angle and then this link has only one DOF. A kinematic chain with two links in a plane has two DOFs, and so on.\n", - "\n", - "The **mobility** of a kinematic chain is its total number of degrees of freedom. The **redundancy** of a kinematic chain is its mobility minus the number of degrees of freedom of the endpoint." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## The kinematics of one-link system\n", - "\n", - "First, let's study the case of a system composed by one planar hinge joint and one link, which technically it's not a chain but it will be useful to review (or introduce) key concepts. \n", - "
\n", - "
\"onelink\"/
Figure. One link attached to a fixed body by a hinge joint in a plane.
\n", - "\n", - "First, let's import the necessary libraries from Python and its ecosystem:" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:00:47.744805Z", - "start_time": "2020-11-03T23:00:46.900135Z" - }, - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "%matplotlib inline\n", - "import seaborn as sns\n", - "sns.set_context(\"notebook\", font_scale=1.2, rc={\"lines.linewidth\": 2,\n", - " \"lines.markersize\": 10})\n", - "from IPython.display import display, Math\n", - "from sympy import Symbol, symbols, Function, Matrix, simplify, lambdify, expand, latex\n", - "from sympy import diff, cos, sin, sqrt, acos, atan2, atan, Abs\n", - "from sympy.vector import CoordSys3D\n", - "from sympy.physics.mechanics import dynamicsymbols, mlatex, init_vprinting\n", - "init_vprinting()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "We need to define a Cartesian coordinate system and the symbolic variables, $t$, $\\ell$, $\\theta$ (and make $\\theta$ a function of time):" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:05:42.962524Z", - "start_time": "2020-11-03T23:05:42.959723Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "G = CoordSys3D('')\n", - "t = Symbol('t')\n", - "l = Symbol('ell', real=True, positive=True)\n", - "# type \\theta and press tab for the Greek letter θ:\n", - "θ = dynamicsymbols('theta', real=True) # or Function('theta')(t) " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "Using trigonometry, the endpoint position in terms of the joint angle and link length is:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:05:46.157963Z", - "start_time": "2020-11-03T23:05:46.023862Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uR3cXokfwmR6" + }, + "source": [ + "# Kinematic chain in a plane (2D)\n", + "\n", + "> Marcos Duarte, Renato Naville Watanabe \n", + "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br/) \n", + "> Federal University of ABC, Brazil" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "toc": true, + "id": "IdBezYFLwmR8" + }, + "source": [ + "

Contents

\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NrafWrmjwmR9" + }, + "source": [ + "## Introduction\n", + "\n", + "
\n", + "\n", + "**Kinematic chain refers to an assembly of rigid bodies (links) connected by joints that is the mathematical model for a mechanical system which in turn can represent a biological system such as the human body** ([Wikipedia](https://en.wikipedia.org/wiki/Kinematic_chain)). \n", + "\n", + "The term chain refers to the fact that the links are constrained by their connections (typically, by a hinge joint which is also called pin joint or revolute joint) to other links. As consequence of this constraint, a kinematic chain in a plane is an example of circular motion of a rigid object.\n", + "\n", + "Chapter 16 of Ruina and Rudra's book and chapter 2 of the Rade's book are a good formal introduction on the topic of circular motion of a rigid object anmd sections 2.7 and 2.8 of Rade's book covers specifically kinematic chains. However, in this notebook we will not employ the mathematical formalism introduced in those chapters - the concept of a rotating reference frame and the related rotation matrix - we cover these subjects in the notebook [Rigid-body transformations (2D)](https://nbviewer.jupyter.org/github/BMClab/BMC/blob/master/notebooks/Transformation2D.ipynb). \n", + "\n", + "Here, we will describe the kinematics of a chain in a Cartesian coordinate system using solely trigonometry and calculus. This approach is simpler and more intuitive but it gets too complicated for a kinematic chain with many links or in the 3D space. For such more complicated problems, indeed it would be recommended using rigid transformations (see for example, Siciliano et al. (2009)). \n", + "\n", + "We will deduce the kinematic properties of kinematic chains algebraically using [Sympy](http://sympy.org/), a Python library for symbolic mathematics. In Sympy, we could have used the [mechanics module](http://docs.sympy.org/latest/modules/physics/mechanics/index.html), a specific module for creation of symbolic equations of motion for multibody systems, but let's deduce most of the stuff by ourselves to understand the details. \n", + "\n", + "

Figure. The human body modeled as a kinematic chain (image from Wikipedia).

" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5ppCqsknwmR-" + }, + "source": [ + "## Properties of kinematic chains\n", + "\n", + "For a kinematic chain, the **base** is the extremity (origin) of a kinematic chain which is typically considered attached to the ground, body or fixed. The **endpoint** is the other extremity (end) of a kinematic chain and typically can move. In robotics, the term **end-effector** is used and usually refers to a last link (rigid body) in this chain.\n", + "\n", + "In topological terms, a kinematic chain is termed **open** when there is only one sequence of links connecting the two ends of the chain. Otherwise it's termed **closed** and in this case a sequence of links forms a loop. A kinematic chain can be classified as **serial** or **parallel** or a **mixed** of both. In a serial chain the links are connected in a serial order. A serial chain is an open chain, otherwise it is a parallel chain or a branched chain (e.g., hand and fingers). \n", + "\n", + "Although the definition above is clear and classic in mechanics, it is not the definition used by health professionals (clinicians and athletic trainers) when describing human movement. They refer to human joints and segments as a closed or open kinematic (or kinetic) chain simply if the distal segment (typically the foot or hand) is fixed (closed chain) or not (open chain). This difference in definition sometimes will result in different classifications. For example, a person standing on one leg is an open kinematic chain in mechanics, but closed according to the latter definition. In this text we will be consistent with mechanics, but keep in mind this difference when interacting with clinicians and athletic trainers.\n", + "\n", + "Another important term to characterize a kinematic chain is **degree of freedom (DOF)**. In mechanics, the degree of freedom of a mechanical system is the number of independent parameters that define its configuration or that determine the state of a physical system. A particle in the 3D space has three DOFs because we need three coordinates to specify its position. A rigid body in the 3D space has six DOFs because we need three coordinates of one point at the body to specify its position and three angles to to specify its orientation in order to completely define the configuration of the rigid body. For a link attached to a fixed body by a hinge joint in a plane, all we need to define the configuration of the link is one angle and then this link has only one DOF. A kinematic chain with two links in a plane has two DOFs, and so on.\n", + "\n", + "The **mobility** of a kinematic chain is its total number of degrees of freedom. The **redundancy** of a kinematic chain is its mobility minus the number of degrees of freedom of the endpoint." + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left(\\ell \\cos{\\left(\\theta \\right)}\\right)\\mathbf{\\hat{i}_{}} + \\left(\\ell \\sin{\\left(\\theta \\right)}\\right)\\mathbf{\\hat{j}_{}}$" + "cell_type": "markdown", + "metadata": { + "id": "CWHi7Z2AwmR-" + }, + "source": [ + "## The kinematics of one-link system\n", + "\n", + "First, let's study the case of a system composed by one planar hinge joint and one link, which technically it's not a chain but it will be useful to review (or introduce) key concepts. \n", + "
\n", + "
\"onelink\"/
Figure. One link attached to a fixed body by a hinge joint in a plane.
\n", + "\n", + "First, let's import the necessary libraries from Python and its ecosystem:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:00:47.744805Z", + "start_time": "2020-11-03T23:00:46.900135Z" + }, + "id": "l23RU8EbwmR_" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "sns.set_context(\"notebook\", font_scale=1.2, rc={\"lines.linewidth\": 2,\n", + " \"lines.markersize\": 10})\n", + "from IPython.display import display, Math\n", + "from sympy import Symbol, symbols, Function, Matrix, simplify, lambdify, expand, latex\n", + "from sympy import diff, cos, sin, sqrt, acos, atan2, atan, Abs\n", + "from sympy.vector import CoordSys3D\n", + "from sympy.physics.mechanics import dynamicsymbols, mlatex, init_vprinting\n", + "init_vprinting()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zUyb0eTPwmR_" + }, + "source": [ + "We need to define a Cartesian coordinate system and the symbolic variables, $t$, $\\ell$, $\\theta$ (and make $\\theta$ a function of time):" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:05:42.962524Z", + "start_time": "2020-11-03T23:05:42.959723Z" + }, + "id": "bodfsY_5wmSA" + }, + "outputs": [], + "source": [ + "G = CoordSys3D('')\n", + "t = Symbol('t')\n", + "l = Symbol('ell', real=True, positive=True)\n", + "# type \\theta and press tab for the Greek letter θ:\n", + "θ = dynamicsymbols('theta', real=True) # or Function('theta')(t)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lVeAYjlLwmSA" + }, + "source": [ + "Using trigonometry, the endpoint position in terms of the joint angle and link length is:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:05:46.157963Z", + "start_time": "2020-11-03T23:05:46.023862Z" + }, + "id": "yMTQZbrJwmSA", + "outputId": "c7848ebe-07b3-438a-fcf9-2d6060153c89", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 40 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(ell⋅cos(θ)) i_ + (ell⋅sin(θ)) j_" + ], + "text/latex": "$\\displaystyle \\left(\\ell \\cos{\\left(\\theta \\right)}\\right)\\mathbf{\\hat{i}_{}} + \\left(\\ell \\sin{\\left(\\theta \\right)}\\right)\\mathbf{\\hat{j}_{}}$" + }, + "metadata": {}, + "execution_count": 3 + } ], - "text/plain": [ - "(ell⋅cos(θ)) i_ + (ell⋅sin(θ)) j_" + "source": [ + "r_p = l*cos(θ)*G.i + l*sin(θ)*G.j + 0*G.k\n", + "r_p" ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r_p = l*cos(θ)*G.i + l*sin(θ)*G.j + 0*G.k\n", - "r_p" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "With the components:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:06:09.846336Z", - "start_time": "2020-11-03T23:06:09.709499Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left\\{ \\mathbf{\\hat{i}_{}} : \\ell \\cos{\\left(\\theta \\right)}, \\ \\mathbf{\\hat{j}_{}} : \\ell \\sin{\\left(\\theta \\right)}\\right\\}$" + "cell_type": "markdown", + "metadata": { + "id": "IYX4OU4wwmSB" + }, + "source": [ + "With the components:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:06:09.846336Z", + "start_time": "2020-11-03T23:06:09.709499Z" + }, + "id": "wWWBiB_TwmSB", + "outputId": "6d8b5ef8-9e4e-479b-ad98-76c4d3e17fab", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 47 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{i_: ell⋅cos(θ), j_: ell⋅sin(θ)}" + ], + "text/latex": "$\\displaystyle \\left\\{ \\mathbf{\\hat{i}_{}} : \\ell \\cos{\\left(\\theta \\right)}, \\ \\mathbf{\\hat{j}_{}} : \\ell \\sin{\\left(\\theta \\right)}\\right\\}$" + }, + "metadata": {}, + "execution_count": 4 + } ], - "text/plain": [ - "{i_: ell⋅cos(θ), j_: ell⋅sin(θ)}" + "source": [ + "r_p.components" ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r_p.components" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Forward and inverse kinematics\n", - "\n", - "Computing the configuration of a link or a chain (including the endpoint location) from the joint parameters (joint angles and link lengths) as we have done is called [**forward or direct kinematics**](https://en.wikipedia.org/wiki/Forward_kinematics).\n", - "\n", - "If the linear coordinates of the endpoint position are known (for example, if they are measured with a motion capture system) and one wants to obtain the joint angle(s), this process is known as [**inverse kinematics**](https://en.wikipedia.org/wiki/Inverse_kinematics). For the one-link system above:\n", - "
\n", - " \n", - "\\begin{equation}\n", - " \\theta = \\arctan\\left(\\frac{y_P}{x_P}\\right)\n", - "\\end{equation}\n", - "" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Matrix representation of the kinematics\n", - "\n", - "The mathematical manipulation will be easier if we use the matrix formalism (and let's drop the explicit dependence on $t$):" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:15.472258Z", - "start_time": "2020-11-03T23:27:15.339992Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}\\ell \\cos{\\left(\\theta \\right)}\\\\\\ell \\sin{\\left(\\theta \\right)}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "LGtwUfFbwmSB" + }, + "source": [ + "### Forward and inverse kinematics\n", + "\n", + "Computing the configuration of a link or a chain (including the endpoint location) from the joint parameters (joint angles and link lengths) as we have done is called [**forward or direct kinematics**](https://en.wikipedia.org/wiki/Forward_kinematics).\n", + "\n", + "If the linear coordinates of the endpoint position are known (for example, if they are measured with a motion capture system) and one wants to obtain the joint angle(s), this process is known as [**inverse kinematics**](https://en.wikipedia.org/wiki/Inverse_kinematics). For the one-link system above:\n", + "
\n", + " \n", + "\\begin{equation}\n", + " \\theta = \\arctan\\left(\\frac{y_P}{x_P}\\right)\n", + "\\end{equation}\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "WyKjXy4GwmSC" + }, + "source": [ + "### Matrix representation of the kinematics\n", + "\n", + "The mathematical manipulation will be easier if we use the matrix formalism (and let's drop the explicit dependence on $t$):" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:15.472258Z", + "start_time": "2020-11-03T23:27:15.339992Z" + }, + "id": "ckQ5l5sqwmSC", + "outputId": "60f2d513-0b1e-4e24-e610-561a1b2c875a", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 58 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡ell⋅cos(θ)⎤\n", + "⎢ ⎥\n", + "⎣ell⋅sin(θ)⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}\\ell \\cos{\\left(\\theta \\right)}\\\\\\ell \\sin{\\left(\\theta \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 5 + } ], - "text/plain": [ - "⎡ell⋅cos(θ)⎤\n", - "⎢ ⎥\n", - "⎣ell⋅sin(θ)⎦" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r = Matrix((r_p.dot(G.i), r_p.dot(G.j)))\n", - "r" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Using the matrix formalism will simplify things, but we will loose some of the Sympy methods for vectors (for instance, the variable `r_p` has a method `magnitude` and the variable `r` does not. \n", - "If you prefer, you can keep the pure vector representation and just switch to matrix representation when displaying a variable:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:17.260232Z", - "start_time": "2020-11-03T23:27:17.126539Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "r = Matrix((r_p.dot(G.i), r_p.dot(G.j)))\n", + "r" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "T7Huo8hrwmSC" + }, + "source": [ + "Using the matrix formalism will simplify things, but we will loose some of the Sympy methods for vectors (for instance, the variable `r_p` has a method `magnitude` and the variable `r` does not. \n", + "If you prefer, you can keep the pure vector representation and just switch to matrix representation when displaying a variable:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}\\ell \\cos{\\left(\\theta \\right)}\\\\\\ell \\sin{\\left(\\theta \\right)}\\\\0\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:17.260232Z", + "start_time": "2020-11-03T23:27:17.126539Z" + }, + "id": "HTsyypGUwmSC", + "outputId": "c566439b-2b73-4ddd-bd0e-34af91067fa2", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 78 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡ell⋅cos(θ)⎤\n", + "⎢ ⎥\n", + "⎢ell⋅sin(θ)⎥\n", + "⎢ ⎥\n", + "⎣ 0 ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}\\ell \\cos{\\left(\\theta \\right)}\\\\\\ell \\sin{\\left(\\theta \\right)}\\\\0\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 6 + } ], - "text/plain": [ - "⎡ell⋅cos(θ)⎤\n", - "⎢ ⎥\n", - "⎢ell⋅sin(θ)⎥\n", - "⎢ ⎥\n", - "⎣ 0 ⎦" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r_p.to_matrix(G)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "The third element of the matrix above refers to the $\\hat{\\mathbf{k}}$ component which is zero for the present case (planar movement). " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## Differential kinematics\n", - "\n", - "Differential kinematics gives the relationship between the joint velocities and the corresponding endpoint linear velocity. This mapping is described by a matrix, termed [**Jacobian matrix**](http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant), which depends on the kinematic chain configuration and it is of great use in the study of kinematic chains. \n", - "First, let's deduce the endpoint velocity without using the Jacobian and then we will see how to calculate the endpoint velocity using the Jacobian matrix.\n", - "\n", - "The velocity of the endpoint can be obtained by the first-order derivative of the position vector. The derivative of a vector is obtained by differentiating each vector component:\n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\frac{\\mathrm{d}\\overrightarrow{\\mathbf{r}}}{\\mathrm{d}t} = \n", - "\\large\n", - "\\begin{bmatrix}\n", - "\\frac{\\mathrm{d}x_P}{\\mathrm{d}t} \\\\\n", - "\\frac{\\mathrm{d}y_P}{\\mathrm{d}t} \\\\\n", - "\\end{bmatrix}\n", - "\\end{equation}\n", - "\n", - "\n", - "Note that the derivative is with respect to time but $x_P$ and $y_P$ depend explicitly on $\\theta$ and it's $\\theta$ that depends on $t$ ($x_P$ and $y_P$ depend implicitly on $t$). To calculate this type of derivative we will use the [chain rule](http://en.wikipedia.org/wiki/Chain_rule). \n", - "
\n", - "\n", - "
\n", - "Chain rule \n", - "
\n", - "For variable $f$ which is function of variable $g$ which in turn is function of variable $t$, $f(g(t))$ or $(f\\circ g)(t)$, the derivative of $f$ with respect to $t$ is (using Lagrange's notation): \n", - "
\n", - "\n", - "$$(f\\circ g)^{'}(t) = f'(g(t)) \\cdot g'(t)$$ \n", - "\n", - " \n", - "Or using what is known as Leibniz's notation: \n", - "
\n", - "\n", - "$$\\frac{\\mathrm{d}f}{\\mathrm{d}t} = \\frac{\\mathrm{d}f}{\\mathrm{d}g} \\cdot \\frac{\\mathrm{d}g}{\\mathrm{d}t}$$ \n", - "\n", - "\n", - "If $f$ is function of two other variables which both are function of $t$, $ f(x(t),y(t))$, the chain rule for this case is: \n", - "
\n", - "\n", - "$$\\frac{\\mathrm{d}f}{\\mathrm{d}t} = \\frac{\\partial f}{\\partial x} \\cdot \\frac{\\mathrm{d}x}{\\mathrm{d}t} + \\frac{\\partial f}{\\partial y} \\cdot \\frac{\\mathrm{d}y}{\\mathrm{d}t}$$ \n", - "\n", - " \n", - "Where $df/dt$ represents the total derivative and $\\partial f / \\partial x$ represents the partial derivative of a function. \n", - "
\n", - "Product rule \n", - "The derivative of the product of two functions is: \n", - "
\n", - "\n", - "$$ (f \\cdot g)' = f' \\cdot g + f \\cdot g' $$\n", - "\n", - "
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Linear velocity of the endpoint\n", - "\n", - "For the planar one-link case, the linear velocity of the endpoint is:" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:19.395714Z", - "start_time": "2020-11-03T23:27:19.251844Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "r_p.to_matrix(G)" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}\\\\\\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "pyS0X_mDwmSC" + }, + "source": [ + "The third element of the matrix above refers to the $\\hat{\\mathbf{k}}$ component which is zero for the present case (planar movement). " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VIIeb9c-wmSC" + }, + "source": [ + "## Differential kinematics\n", + "\n", + "Differential kinematics gives the relationship between the joint velocities and the corresponding endpoint linear velocity. This mapping is described by a matrix, termed [**Jacobian matrix**](http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant), which depends on the kinematic chain configuration and it is of great use in the study of kinematic chains. \n", + "First, let's deduce the endpoint velocity without using the Jacobian and then we will see how to calculate the endpoint velocity using the Jacobian matrix.\n", + "\n", + "The velocity of the endpoint can be obtained by the first-order derivative of the position vector. The derivative of a vector is obtained by differentiating each vector component:\n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\frac{\\mathrm{d}\\overrightarrow{\\mathbf{r}}}{\\mathrm{d}t} =\n", + "\\large\n", + "\\begin{bmatrix}\n", + "\\frac{\\mathrm{d}x_P}{\\mathrm{d}t} \\\\\n", + "\\frac{\\mathrm{d}y_P}{\\mathrm{d}t} \\\\\n", + "\\end{bmatrix}\n", + "\\end{equation}\n", + "\n", + "\n", + "Note that the derivative is with respect to time but $x_P$ and $y_P$ depend explicitly on $\\theta$ and it's $\\theta$ that depends on $t$ ($x_P$ and $y_P$ depend implicitly on $t$). To calculate this type of derivative we will use the [chain rule](http://en.wikipedia.org/wiki/Chain_rule). \n", + "
\n", + "\n", + "
\n", + "Chain rule \n", + "
\n", + "For variable $f$ which is function of variable $g$ which in turn is function of variable $t$, $f(g(t))$ or $(f\\circ g)(t)$, the derivative of $f$ with respect to $t$ is (using Lagrange's notation): \n", + "
\n", + "\n", + "$$(f\\circ g)^{'}(t) = f'(g(t)) \\cdot g'(t)$$ \n", + "\n", + "\n", + "Or using what is known as Leibniz's notation: \n", + "
\n", + "\n", + "$$\\frac{\\mathrm{d}f}{\\mathrm{d}t} = \\frac{\\mathrm{d}f}{\\mathrm{d}g} \\cdot \\frac{\\mathrm{d}g}{\\mathrm{d}t}$$ \n", + "\n", + "\n", + "If $f$ is function of two other variables which both are function of $t$, $ f(x(t),y(t))$, the chain rule for this case is: \n", + "
\n", + "\n", + "$$\\frac{\\mathrm{d}f}{\\mathrm{d}t} = \\frac{\\partial f}{\\partial x} \\cdot \\frac{\\mathrm{d}x}{\\mathrm{d}t} + \\frac{\\partial f}{\\partial y} \\cdot \\frac{\\mathrm{d}y}{\\mathrm{d}t}$$ \n", + "\n", + " \n", + "Where $df/dt$ represents the total derivative and $\\partial f / \\partial x$ represents the partial derivative of a function. \n", + "
\n", + "Product rule \n", + "The derivative of the product of two functions is: \n", + "
\n", + "\n", + "$$ (f \\cdot g)' = f' \\cdot g + f \\cdot g' $$\n", + "\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "pKjqwdyZwmSC" + }, + "source": [ + "### Linear velocity of the endpoint\n", + "\n", + "For the planar one-link case, the linear velocity of the endpoint is:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:19.395714Z", + "start_time": "2020-11-03T23:27:19.251844Z" + }, + "id": "jmRDh6e2wmSD", + "outputId": "6b00e1ba-2dc8-4281-a573-bec84889edd3", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 61 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell⋅sin(θ)⋅θ̇⎤\n", + "⎢ ⎥\n", + "⎣ell⋅cos(θ)⋅θ̇ ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}\\\\\\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 8 + } ], - "text/plain": [ - "⎡-ell⋅sin(θ)⋅θ̇⎤\n", - "⎢ ⎥\n", - "⎣ell⋅cos(θ)⋅θ̇ ⎦" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "v = r.diff(t)\n", - "v" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "Where we used the [Newton's notation](http://en.wikipedia.org/wiki/Notation_for_differentiation) for differentiation. \n", - "Note that $\\dot{\\theta}$ represents the unknown angular velocity of the joint; this is why the derivative of $\\theta$ is not explicitly solved. \n", - "The magnitude or [Euclidian norm](http://en.wikipedia.org/wiki/Vector_norm) of the vector $\\overrightarrow{\\mathbf{v}}$ is: \n", - "
\n", - "\n", - "\\begin{equation}\n", - " ||\\overrightarrow{\\mathbf{v}}||=\\sqrt{v_x^2+v_y^2}\n", - "\\end{equation}\n", - "" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:20.530788Z", - "start_time": "2020-11-03T23:27:20.332885Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "v = r.diff(t)\n", + "v" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "88uQ-APPwmSD" + }, + "source": [ + "Where we used the [Newton's notation](http://en.wikipedia.org/wiki/Notation_for_differentiation) for differentiation. \n", + "Note that $\\dot{\\theta}$ represents the unknown angular velocity of the joint; this is why the derivative of $\\theta$ is not explicitly solved. \n", + "The magnitude or [Euclidian norm](http://en.wikipedia.org/wiki/Vector_norm) of the vector $\\overrightarrow{\\mathbf{v}}$ is: \n", + "
\n", + "\n", + "\\begin{equation}\n", + " ||\\overrightarrow{\\mathbf{v}}||=\\sqrt{v_x^2+v_y^2}\n", + "\\end{equation}\n", + "" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\ell \\sqrt{\\dot{\\theta}^{2}}$" + "cell_type": "code", + "execution_count": 9, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:20.530788Z", + "start_time": "2020-11-03T23:27:20.332885Z" + }, + "id": "yPjQGMjfwmSD", + "outputId": "aa8dd9ef-74f0-4520-ed6f-401480f067b7", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 42 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " ____\n", + " ╱ 2 \n", + "ell⋅╲╱ θ̇ " + ], + "text/latex": "$\\displaystyle \\ell \\sqrt{\\dot{\\theta}^{2}}$" + }, + "metadata": {}, + "execution_count": 9 + } ], - "text/plain": [ - " ____\n", - " ╱ 2 \n", - "ell⋅╲╱ θ̇ " - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "simplify(sqrt(v[0]**2 + v[1]**2))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "Which is $\\ell\\dot{\\theta}$.
\n", - "We could have used the function `norm` of Sympy, but the output does not simplify nicely:" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:21.463355Z", - "start_time": "2020-11-03T23:27:21.201932Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "simplify(sqrt(v[0]**2 + v[1]**2))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "m_00CdXiwmSD" + }, + "source": [ + "Which is $\\ell\\dot{\\theta}$.
\n", + "We could have used the function `norm` of Sympy, but the output does not simplify nicely:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\ell \\sqrt{\\left|{\\sin{\\left(\\theta \\right)} \\dot{\\theta}}\\right|^{2} + \\left|{\\cos{\\left(\\theta \\right)} \\dot{\\theta}}\\right|^{2}}$" + "cell_type": "code", + "execution_count": 10, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:21.463355Z", + "start_time": "2020-11-03T23:27:21.201932Z" + }, + "id": "UENeuEOCwmSD", + "outputId": "35113412-ef10-4a34-83a0-73d4c699577b", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 58 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " ___________________________\n", + " ╱ 2 2 \n", + "ell⋅╲╱ │sin(θ)⋅θ̇│ + │cos(θ)⋅θ̇│ " + ], + "text/latex": "$\\displaystyle \\ell \\sqrt{\\left|{\\sin{\\left(\\theta \\right)} \\dot{\\theta}}\\right|^{2} + \\left|{\\cos{\\left(\\theta \\right)} \\dot{\\theta}}\\right|^{2}}$" + }, + "metadata": {}, + "execution_count": 10 + } ], - "text/plain": [ - " ___________________________\n", - " ╱ 2 2 \n", - "ell⋅╲╱ │sin(θ)⋅θ̇│ + │cos(θ)⋅θ̇│ " - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "simplify(v.norm())" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "The direction of $\\overrightarrow{\\mathbf{v}}$ is tangent to the circular trajectory of the endpoint as can be seen in the figure below where its components are also shown.\n", - "\n", - "
\"onelinkVel\"/
Figure. Endpoint velocity of one link attached to a fixed body by a hinge joint in a plane.
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Linear acceleration of the endpoint\n", - "\n", - "The acceleration of the endpoint position can be given by the second-order derivative of the position or by the first-order derivative of the velocity. \n", - "Using the chain and product rules for differentiation, the linear acceleration of the endpoint is:" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:23.185455Z", - "start_time": "2020-11-03T23:27:23.039800Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "simplify(v.norm())" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\ddot{\\theta} - \\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}^{2}\\\\- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}^{2} + \\ell \\cos{\\left(\\theta \\right)} \\ddot{\\theta}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "3EToHNGewmSD" + }, + "source": [ + "The direction of $\\overrightarrow{\\mathbf{v}}$ is tangent to the circular trajectory of the endpoint as can be seen in the figure below where its components are also shown.\n", + "\n", + "
\"onelinkVel\"/
Figure. Endpoint velocity of one link attached to a fixed body by a hinge joint in a plane.
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wuqXyfDZwmSD" + }, + "source": [ + "### Linear acceleration of the endpoint\n", + "\n", + "The acceleration of the endpoint position can be given by the second-order derivative of the position or by the first-order derivative of the velocity. \n", + "Using the chain and product rules for differentiation, the linear acceleration of the endpoint is:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:23.185455Z", + "start_time": "2020-11-03T23:27:23.039800Z" + }, + "id": "H37__I8WwmSD", + "outputId": "c680f50b-d57c-4170-a46f-44e9724d9d61", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 61 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡ 2 ⎤\n", + "⎢-ell⋅sin(θ)⋅θ̈ - ell⋅cos(θ)⋅θ̇ ⎥\n", + "⎢ ⎥\n", + "⎢ 2 ⎥\n", + "⎣- ell⋅sin(θ)⋅θ̇ + ell⋅cos(θ)⋅θ̈⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\ddot{\\theta} - \\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}^{2}\\\\- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}^{2} + \\ell \\cos{\\left(\\theta \\right)} \\ddot{\\theta}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 11 + } ], - "text/plain": [ - "⎡ 2 ⎤\n", - "⎢-ell⋅sin(θ)⋅θ̈ - ell⋅cos(θ)⋅θ̇ ⎥\n", - "⎢ ⎥\n", - "⎢ 2 ⎥\n", - "⎣- ell⋅sin(θ)⋅θ̇ + ell⋅cos(θ)⋅θ̈⎦" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "acc = v.diff(t, 1)\n", - "acc" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "Examining the terms of the expression for the linear acceleration, we see there are two types of them: the term (in each direction) proportional to the angular acceleration $\\ddot{\\theta}$ and other term proportional to the square of the angular velocity $\\dot{\\theta}^{2}$. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "#### Tangential acceleration\n", - "\n", - "The term proportional to angular acceleration, $a_t$, is always tangent to the trajectory of the endpoint (see figure below) and it's magnitude or Euclidean norm is:" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:24.758567Z", - "start_time": "2020-11-03T23:27:24.588832Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "acc = v.diff(t, 1)\n", + "acc" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CQl3kcK-wmSE" + }, + "source": [ + "Examining the terms of the expression for the linear acceleration, we see there are two types of them: the term (in each direction) proportional to the angular acceleration $\\ddot{\\theta}$ and other term proportional to the square of the angular velocity $\\dot{\\theta}^{2}$. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9Jpprcm5wmSE" + }, + "source": [ + "#### Tangential acceleration\n", + "\n", + "The term proportional to angular acceleration, $a_t$, is always tangent to the trajectory of the endpoint (see figure below) and it's magnitude or Euclidean norm is:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\ell \\ddot{\\theta}$" + "cell_type": "code", + "execution_count": 12, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:24.758567Z", + "start_time": "2020-11-03T23:27:24.588832Z" + }, + "id": "EdDC5pKQwmSE", + "outputId": "e0c6e5b5-099b-44be-904e-a98c4c789c3a", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "ell⋅θ̈" + ], + "text/latex": "$\\displaystyle \\ell \\ddot{\\theta}$" + }, + "metadata": {}, + "execution_count": 12 + } ], - "text/plain": [ - "ell⋅θ̈" + "source": [ + "A = θ.diff(t, 2)\n", + "simplify(sqrt(expand(acc[0]).coeff(A)**2 + expand(acc[1]).coeff(A)**2))*A" ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "A = θ.diff(t, 2)\n", - "simplify(sqrt(expand(acc[0]).coeff(A)**2 + expand(acc[1]).coeff(A)**2))*A" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "#### Centripetal acceleration\n", - "\n", - "The term proportional to angular velocity, $a_c$, always points to the joint, the center of the circular motion (see figure below), because of that this term is termed [centripetal acceleration](http://en.wikipedia.org/wiki/Centripetal_acceleration#Tangential_and_centripetal_acceleration). Its magnitude is:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:26.883182Z", - "start_time": "2020-11-03T23:27:26.732230Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\ell \\dot{\\theta}^{2}$" + "cell_type": "markdown", + "metadata": { + "id": "fHqezI1zwmSE" + }, + "source": [ + "#### Centripetal acceleration\n", + "\n", + "The term proportional to angular velocity, $a_c$, always points to the joint, the center of the circular motion (see figure below), because of that this term is termed [centripetal acceleration](http://en.wikipedia.org/wiki/Centripetal_acceleration#Tangential_and_centripetal_acceleration). Its magnitude is:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:26.883182Z", + "start_time": "2020-11-03T23:27:26.732230Z" + }, + "id": "0rVi2H20wmSE", + "outputId": "de55212b-d13e-4bc4-f919-d0448e3d7c2d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " 2\n", + "ell⋅θ̇ " + ], + "text/latex": "$\\displaystyle \\ell \\dot{\\theta}^{2}$" + }, + "metadata": {}, + "execution_count": 13 + } ], - "text/plain": [ - " 2\n", - "ell⋅θ̇ " - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "A = θ.diff(t)**2\n", - "simplify(sqrt(expand(acc[0]).coeff(A)**2+expand(acc[1]).coeff(A)**2))*A" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "This means that there will be a linear acceleration even if the angular acceleration is zero because although the magnitude of the linear velocity is constant in this case, its direction varies (due to the centripetal acceleration). \n", - "
\n", - "
\"onelinkAcc\"/
Figure. Endpoint tangential and centripetal acceleration terms of one link attached to a fixed body by a hinge joint in a plane.
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "### Simulation\n", - "\n", - "Let's plot some simulated data to have an idea of the one-link kinematics. \n", - "Consider $\\ell=1\\:m,\\theta_i=0^o,\\theta_f=90^o $, and $1\\:s$ of movement duration, and that it is a [minimum-jerk movement](https://nbviewer.jupyter.org/github/BMClab/bmc/blob/master/notebooks/MinimumJerkHypothesis.ipynb)." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:28.623718Z", - "start_time": "2020-11-03T23:27:28.565060Z" - }, - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "θ_i, θ_f, d = 0, np.pi/2, 1\n", - "ts = np.arange(0.01, 1.01, .01)\n", - "mjt = θ_i + (θ_f - θ_i)*(10*(t/d)**3 - 15*(t/d)**4 + 6*(t/d)**5)\n", - "\n", - "ang = lambdify(t, mjt, 'numpy'); ang = ang(ts)\n", - "vang = lambdify(t, mjt.diff(t,1), 'numpy'); vang = vang(ts)\n", - "aang = lambdify(t, mjt.diff(t,2), 'numpy'); aang = aang(ts)\n", - "jang = lambdify(t, mjt.diff(t,3), 'numpy'); jang = jang(ts)\n", - "\n", - "b, c, d, e = symbols('b c d e')\n", - "dicti = {l:1, θ:b, θ.diff(t, 1):c, θ.diff(t, 2):d, θ.diff(t, 3):e}\n", - "\n", - "r2 = r.subs(dicti);\n", - "rxfu = lambdify(b, r2[0], modules = 'numpy')\n", - "ryfu = lambdify(b, r2[1], modules = 'numpy')\n", - "\n", - "v2 = v.subs(dicti);\n", - "vxfu = lambdify((b, c), v2[0], modules = 'numpy')\n", - "vyfu = lambdify((b, c), v2[1], modules = 'numpy')\n", - "\n", - "acc2 = acc.subs(dicti);\n", - "axfu = lambdify((b, c, d), acc2[0], modules = 'numpy')\n", - "ayfu = lambdify((b, c, d), acc2[1], modules = 'numpy')\n", - "\n", - "jerk = r.diff(t,3)\n", - "jerk2 = jerk.subs(dicti);\n", - "jxfu = lambdify((b, c, d, e), jerk2[0], modules = 'numpy')\n", - "jyfu = lambdify((b, c, d, e), jerk2[1], modules = 'numpy')" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:27:30.251177Z", - "start_time": "2020-11-03T23:27:29.584054Z" - }, - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [ + "source": [ + "A = θ.diff(t)**2\n", + "simplify(sqrt(expand(acc[0]).coeff(A)**2+expand(acc[1]).coeff(A)**2))*A" + ] + }, { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": { + "id": "0v_NgaqbwmSE" + }, + "source": [ + "This means that there will be a linear acceleration even if the angular acceleration is zero because although the magnitude of the linear velocity is constant in this case, its direction varies (due to the centripetal acceleration). \n", + "
\n", + "
\"onelinkAcc\"/
Figure. Endpoint tangential and centripetal acceleration terms of one link attached to a fixed body by a hinge joint in a plane.
" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, hax = plt.subplots(2, 4, sharex = True, figsize=(14, 7))\n", - "\n", - "hax[0, 0].plot(ts, ang*180/np.pi, linewidth=3)\n", - "hax[0, 0].set_title('Angular displacement [$^o$]');\n", - "hax[0, 0].set_ylabel('Joint') \n", - "\n", - "hax[0, 1].plot(ts, vang*180/np.pi, linewidth=3)\n", - "hax[0, 1].set_title('Angular velocity [$^o/s$]');\n", - "\n", - "hax[0, 2].plot(ts, aang*180/np.pi, linewidth=3)\n", - "hax[0, 2].set_title('Angular acceleration [$^o/s^2$]');\n", - "\n", - "hax[0, 3].plot(ts, jang*180/np.pi, linewidth=3)\n", - "hax[0, 3].set_title('Angular jerk [$^o/s^3$]');\n", - "\n", - "hax[1, 0].plot(ts, rxfu(ang), 'r', linewidth=3, label = 'x')\n", - "hax[1, 0].plot(ts, ryfu(ang), 'k', linewidth=3, label = 'y')\n", - "hax[1, 0].set_title('Linear displacement [$m$]');\n", - "hax[1, 0].legend(loc='best').get_frame().set_alpha(0.8)\n", - "hax[1, 0].set_ylabel('Endpoint')\n", - "\n", - "hax[1, 1].plot(ts,vxfu(ang, vang), 'r', linewidth=3)\n", - "hax[1, 1].plot(ts,vyfu(ang, vang), 'k', linewidth=3)\n", - "hax[1, 1].set_title('Linear velocity [$m/s$]');\n", - "\n", - "hax[1, 2].plot(ts,axfu(ang, vang, aang), 'r', linewidth=3)\n", - "hax[1, 2].plot(ts,ayfu(ang, vang, aang), 'k', linewidth=3)\n", - "hax[1, 2].set_title('Linear acceleration [$m/s^2$]');\n", - "\n", - "hax[1, 3].plot(ts, jxfu(ang, vang, aang, jang), 'r', linewidth=3)\n", - "hax[1, 3].plot(ts, jyfu(ang, vang, aang, jang), 'k', linewidth=3)\n", - "hax[1, 3].set_title('Linear jerk [$m/s^3$]');\n", - "\n", - "fig.suptitle('Minimum jerk trajectory kinematics of one-link system', fontsize=20);\n", - "for i, hax2 in enumerate(hax.flat):\n", - " hax2.locator_params(nbins=5)\n", - " hax2.grid(True)\n", - " if i > 3:\n", - " hax2.set_xlabel('Time [s]'); \n", - "plt.subplots_adjust(hspace=0.2, wspace=.3) #plt.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Jacobian matrix \n", - "
\n", - "
\n", - "The Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function $F$: \n", - " \n", - "
\n", - "\n", - "$$\n", - "F(q_1,...q_n) = \\begin{bmatrix}F_{1}(q_1,...q_n)\\\\\n", - "\\vdots\\\\ \n", - "F_{m}(q_1,...q_n)\\\\ \n", - "\\end{bmatrix}\n", - "$$\n", - "\n", - "\n", - "In a general form, the Jacobian matrix of the function $F$ is: \n", - "
\n", - "\n", - "$$\n", - "\\mathbf{J}= \n", - "\\large\n", - "\\begin{bmatrix}\n", - "\\frac{\\partial F_{1}}{\\partial q_{1}} & ... & \\frac{\\partial F_{1}}{\\partial q_{n}} \\\\\n", - "\\vdots & \\ddots & \\vdots \\\\ \n", - "\\frac{\\partial F_{m}}{\\partial q_{1}} & ... & \\frac{\\partial F_{m}}{\\partial q_{n}} \\\\ \n", - "\\end{bmatrix}\n", - "$$\n", - "\n", - "
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Derivative of a vector-valued function using the Jacobian matrix\n", - "
\n", - "
\n", - "The time-derivative of a vector-valued function $F$ can be computed using the Jacobian matrix: \n", - "
\n", - "\n", - "$$\n", - "\\frac{dF}{dt} = \\mathbf{J} \\cdot \\begin{bmatrix}\\frac{d q_1}{dt}\\\\\n", - "\\vdots\\\\ \n", - "\\frac{d q_n}{dt}\\\\ \n", - "\\end{bmatrix}\n", - "$$\n", - "\n", - "
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Jacobian matrix in the context of kinematic chains\n", - "\n", - "In the context of kinematic chains, the Jacobian is a matrix of all first-order partial derivatives of the linear position vector of the endpoint with respect to the angular position vector. The Jacobian matrix for a kinematic chain relates differential changes in the joint angle vector with the resulting differential changes in the linear position vector of the endpoint. \n", - "\n", - "For a kinematic chain, the function $F_{i}$ is the expression of the endpoint position in $m$ coordinates and the variable $q_{i}$ is the angle of each $n$ joints. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "#### Jacobian matrix of one-link chain\n", - "\n", - "For the planar one-link case, the Jacobian matrix of the position vector of the endpoint $r_P$ with respect to the angular position vector $q_1=\\theta$ is:\n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\mathbf{J}= \n", - "\\large\n", - "\\begin{bmatrix}\n", - "\\frac{\\partial x_P}{\\partial \\theta} \\\\\n", - "\\frac{\\partial y_P}{\\partial \\theta} \\\\\n", - "\\end{bmatrix}\n", - "\\end{equation}\n", - "\n", - "\n", - "Which evaluates to:" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:42.815513Z", - "start_time": "2020-11-03T13:04:42.678614Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)}\\\\\\ell \\cos{\\left(\\theta \\right)}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "eeJd1XM6wmSE" + }, + "source": [ + "### Simulation\n", + "\n", + "Let's plot some simulated data to have an idea of the one-link kinematics. \n", + "Consider $\\ell=1\\:m,\\theta_i=0^o,\\theta_f=90^o $, and $1\\:s$ of movement duration, and that it is a [minimum-jerk movement](https://nbviewer.jupyter.org/github/BMClab/bmc/blob/master/notebooks/MinimumJerkHypothesis.ipynb)." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:28.623718Z", + "start_time": "2020-11-03T23:27:28.565060Z" + }, + "id": "mviTTx8cwmSE" + }, + "outputs": [], + "source": [ + "θ_i, θ_f, d = 0, np.pi/2, 1\n", + "ts = np.arange(0.01, 1.01, .01)\n", + "mjt = θ_i + (θ_f - θ_i)*(10*(t/d)**3 - 15*(t/d)**4 + 6*(t/d)**5)\n", + "\n", + "ang = lambdify(t, mjt, 'numpy'); ang = ang(ts)\n", + "vang = lambdify(t, mjt.diff(t,1), 'numpy'); vang = vang(ts)\n", + "aang = lambdify(t, mjt.diff(t,2), 'numpy'); aang = aang(ts)\n", + "jang = lambdify(t, mjt.diff(t,3), 'numpy'); jang = jang(ts)\n", + "\n", + "b, c, d, e = symbols('b c d e')\n", + "dicti = {l:1, θ:b, θ.diff(t, 1):c, θ.diff(t, 2):d, θ.diff(t, 3):e}\n", + "\n", + "r2 = r.subs(dicti);\n", + "rxfu = lambdify(b, r2[0], modules = 'numpy')\n", + "ryfu = lambdify(b, r2[1], modules = 'numpy')\n", + "\n", + "v2 = v.subs(dicti);\n", + "vxfu = lambdify((b, c), v2[0], modules = 'numpy')\n", + "vyfu = lambdify((b, c), v2[1], modules = 'numpy')\n", + "\n", + "acc2 = acc.subs(dicti);\n", + "axfu = lambdify((b, c, d), acc2[0], modules = 'numpy')\n", + "ayfu = lambdify((b, c, d), acc2[1], modules = 'numpy')\n", + "\n", + "jerk = r.diff(t,3)\n", + "jerk2 = jerk.subs(dicti);\n", + "jxfu = lambdify((b, c, d, e), jerk2[0], modules = 'numpy')\n", + "jyfu = lambdify((b, c, d, e), jerk2[1], modules = 'numpy')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:27:30.251177Z", + "start_time": "2020-11-03T23:27:29.584054Z" + }, + "id": "o_WUYYPrwmSE", + "outputId": "5f2e27fe-ef9d-44cf-e6a0-92ad19f41ce1", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 701 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } ], - "text/plain": [ - "⎡-ell⋅sin(θ)⎤\n", - "⎢ ⎥\n", - "⎣ell⋅cos(θ) ⎦" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "J = r.diff(θ)\n", - "J" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "And Sympy has a function to calculate the Jacobian:" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:43.012095Z", - "start_time": "2020-11-03T13:04:42.816671Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "fig, hax = plt.subplots(2, 4, sharex = True, figsize=(14, 7))\n", + "\n", + "hax[0, 0].plot(ts, ang*180/np.pi, linewidth=3)\n", + "hax[0, 0].set_title('Angular displacement [$^o$]');\n", + "hax[0, 0].set_ylabel('Joint')\n", + "\n", + "hax[0, 1].plot(ts, vang*180/np.pi, linewidth=3)\n", + "hax[0, 1].set_title('Angular velocity [$^o/s$]');\n", + "\n", + "hax[0, 2].plot(ts, aang*180/np.pi, linewidth=3)\n", + "hax[0, 2].set_title('Angular acceleration [$^o/s^2$]');\n", + "\n", + "hax[0, 3].plot(ts, jang*180/np.pi, linewidth=3)\n", + "hax[0, 3].set_title('Angular jerk [$^o/s^3$]');\n", + "\n", + "hax[1, 0].plot(ts, rxfu(ang), 'r', linewidth=3, label = 'x')\n", + "hax[1, 0].plot(ts, ryfu(ang), 'k', linewidth=3, label = 'y')\n", + "hax[1, 0].set_title('Linear displacement [$m$]');\n", + "hax[1, 0].legend(loc='best').get_frame().set_alpha(0.8)\n", + "hax[1, 0].set_ylabel('Endpoint')\n", + "\n", + "hax[1, 1].plot(ts,vxfu(ang, vang), 'r', linewidth=3)\n", + "hax[1, 1].plot(ts,vyfu(ang, vang), 'k', linewidth=3)\n", + "hax[1, 1].set_title('Linear velocity [$m/s$]');\n", + "\n", + "hax[1, 2].plot(ts,axfu(ang, vang, aang), 'r', linewidth=3)\n", + "hax[1, 2].plot(ts,ayfu(ang, vang, aang), 'k', linewidth=3)\n", + "hax[1, 2].set_title('Linear acceleration [$m/s^2$]');\n", + "\n", + "hax[1, 3].plot(ts, jxfu(ang, vang, aang, jang), 'r', linewidth=3)\n", + "hax[1, 3].plot(ts, jyfu(ang, vang, aang, jang), 'k', linewidth=3)\n", + "hax[1, 3].set_title('Linear jerk [$m/s^3$]');\n", + "\n", + "fig.suptitle('Minimum jerk trajectory kinematics of one-link system', fontsize=20);\n", + "for i, hax2 in enumerate(hax.flat):\n", + " hax2.locator_params(nbins=5)\n", + " hax2.grid(True)\n", + " if i > 3:\n", + " hax2.set_xlabel('Time [s]');\n", + "plt.subplots_adjust(hspace=0.2, wspace=.3) #plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "i55cRH3VwmSF" + }, + "source": [ + "### Jacobian matrix \n", + "
\n", + "
\n", + "The Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function $F$: \n", + " \n", + "
\n", + "\n", + "$$\n", + "F(q_1,...q_n) = \\begin{bmatrix}F_{1}(q_1,...q_n)\\\\\n", + "\\vdots\\\\\n", + "F_{m}(q_1,...q_n)\\\\\n", + "\\end{bmatrix}\n", + "$$\n", + "\n", + "\n", + "In a general form, the Jacobian matrix of the function $F$ is: \n", + "
\n", + "\n", + "$$\n", + "\\mathbf{J}=\n", + "\\large\n", + "\\begin{bmatrix}\n", + "\\frac{\\partial F_{1}}{\\partial q_{1}} & ... & \\frac{\\partial F_{1}}{\\partial q_{n}} \\\\\n", + "\\vdots & \\ddots & \\vdots \\\\\n", + "\\frac{\\partial F_{m}}{\\partial q_{1}} & ... & \\frac{\\partial F_{m}}{\\partial q_{n}} \\\\\n", + "\\end{bmatrix}\n", + "$$\n", + "\n", + "
" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)}\\\\\\ell \\cos{\\left(\\theta \\right)}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "RGBqeR0owmSF" + }, + "source": [ + "### Derivative of a vector-valued function using the Jacobian matrix\n", + "
\n", + "
\n", + "The time-derivative of a vector-valued function $F$ can be computed using the Jacobian matrix: \n", + "
\n", + "\n", + "$$\n", + "\\frac{dF}{dt} = \\mathbf{J} \\cdot \\begin{bmatrix}\\frac{d q_1}{dt}\\\\\n", + "\\vdots\\\\\n", + "\\frac{d q_n}{dt}\\\\\n", + "\\end{bmatrix}\n", + "$$\n", + "\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "54O5kc21wmSL" + }, + "source": [ + "### Jacobian matrix in the context of kinematic chains\n", + "\n", + "In the context of kinematic chains, the Jacobian is a matrix of all first-order partial derivatives of the linear position vector of the endpoint with respect to the angular position vector. The Jacobian matrix for a kinematic chain relates differential changes in the joint angle vector with the resulting differential changes in the linear position vector of the endpoint. \n", + "\n", + "For a kinematic chain, the function $F_{i}$ is the expression of the endpoint position in $m$ coordinates and the variable $q_{i}$ is the angle of each $n$ joints." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kgZbDRqCwmSM" + }, + "source": [ + "#### Jacobian matrix of one-link chain\n", + "\n", + "For the planar one-link case, the Jacobian matrix of the position vector of the endpoint $r_P$ with respect to the angular position vector $q_1=\\theta$ is:\n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\mathbf{J}=\n", + "\\large\n", + "\\begin{bmatrix}\n", + "\\frac{\\partial x_P}{\\partial \\theta} \\\\\n", + "\\frac{\\partial y_P}{\\partial \\theta} \\\\\n", + "\\end{bmatrix}\n", + "\\end{equation}\n", + "\n", + "\n", + "Which evaluates to:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:42.815513Z", + "start_time": "2020-11-03T13:04:42.678614Z" + }, + "id": "RUMFIlUEwmSM", + "outputId": "d1de0349-1a6c-42db-c5d5-164067b27272", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 58 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell⋅sin(θ)⎤\n", + "⎢ ⎥\n", + "⎣ell⋅cos(θ) ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)}\\\\\\ell \\cos{\\left(\\theta \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 16 + } ], - "text/plain": [ - "⎡-ell⋅sin(θ)⎤\n", - "⎢ ⎥\n", - "⎣ell⋅cos(θ) ⎦" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "J = r.jacobian([θ])\n", - "J" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "We can recalculate the kinematic expressions using the Jacobian matrix, which can be useful for simplifying the deduction.\n", - "\n", - "The linear velocity of the end-effector is given by the product between the Jacobian of the kinematic link and the angular velocity:\n", - "
\n", - "\n", - "\\begin{equation}\n", - " \\overrightarrow{\\mathbf{v}} = \\mathbf{J} \\cdot \\dot{\\theta}\n", - "\\end{equation}\n", - "\n", - "\n", - "Where:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:43.145742Z", - "start_time": "2020-11-03T13:04:43.013354Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "J = r.diff(θ)\n", + "J" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9iDiv2e7wmSM" + }, + "source": [ + "And Sympy has a function to calculate the Jacobian:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\dot{\\theta}$" + "cell_type": "code", + "execution_count": 17, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:43.012095Z", + "start_time": "2020-11-03T13:04:42.816671Z" + }, + "id": "BbMza_VTwmSM", + "outputId": "092b34a8-4922-4b84-d567-f0a76de17380", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 58 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell⋅sin(θ)⎤\n", + "⎢ ⎥\n", + "⎣ell⋅cos(θ) ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)}\\\\\\ell \\cos{\\left(\\theta \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 17 + } ], - "text/plain": [ - "θ̇" + "source": [ + "J = r.jacobian([θ])\n", + "J" ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ω = θ.diff(t)\n", - "ω" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "The angular velocity is also a vector; it's direction is perpendicular to the plane of rotation and using the [right-hand rule](http://en.wikipedia.org/wiki/Right-hand_rule) this direction is the same as of the versor $\\hat{\\mathbf{k}}$ coming out of the screen (paper). \n", - "\n", - "Then:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:43.287843Z", - "start_time": "2020-11-03T13:04:43.147029Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9tLaqVtawmSM" + }, + "source": [ + "We can recalculate the kinematic expressions using the Jacobian matrix, which can be useful for simplifying the deduction.\n", + "\n", + "The linear velocity of the end-effector is given by the product between the Jacobian of the kinematic link and the angular velocity:\n", + "
\n", + "\n", + "\\begin{equation}\n", + " \\overrightarrow{\\mathbf{v}} = \\mathbf{J} \\cdot \\dot{\\theta}\n", + "\\end{equation}\n", + "\n", + "\n", + "Where:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}\\\\\\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 18, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:43.145742Z", + "start_time": "2020-11-03T13:04:43.013354Z" + }, + "id": "ieKOONtwwmSM", + "outputId": "67634f06-93a2-467b-dd07-2e5baa9a2663", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 38 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "θ̇" + ], + "text/latex": "$\\displaystyle \\dot{\\theta}$" + }, + "metadata": {}, + "execution_count": 18 + } ], - "text/plain": [ - "⎡-ell⋅sin(θ)⋅θ̇⎤\n", - "⎢ ⎥\n", - "⎣ell⋅cos(θ)⋅θ̇ ⎦" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "velJ = J*ω\n", - "velJ" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "And the linear acceleration of the endpoint is given by the derivative of this product:\n", - "
\n", - "\n", - "\\begin{equation}\n", - " \\overrightarrow{\\mathbf{a}} = \\dot{\\mathbf{J}} \\cdot \\overrightarrow{\\mathbf{\\omega}} + \\mathbf{J} \\cdot \\dot{\\overrightarrow{\\mathbf{\\omega}}}\n", - "\\end{equation}\n", - "\n", - "\n", - "Let's calculate this derivative:" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:43.433861Z", - "start_time": "2020-11-03T13:04:43.288988Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "ω = θ.diff(t)\n", + "ω" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Kt1nMjP6wmSM" + }, + "source": [ + "The angular velocity is also a vector; it's direction is perpendicular to the plane of rotation and using the [right-hand rule](http://en.wikipedia.org/wiki/Right-hand_rule) this direction is the same as of the versor $\\hat{\\mathbf{k}}$ coming out of the screen (paper). \n", + "\n", + "Then:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\ddot{\\theta} - \\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}^{2}\\\\- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}^{2} + \\ell \\cos{\\left(\\theta \\right)} \\ddot{\\theta}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 19, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:43.287843Z", + "start_time": "2020-11-03T13:04:43.147029Z" + }, + "id": "qkbLKmNhwmSM", + "outputId": "4c5d31ed-50a2-48b5-f53e-bcb386bbb481", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 61 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell⋅sin(θ)⋅θ̇⎤\n", + "⎢ ⎥\n", + "⎣ell⋅cos(θ)⋅θ̇ ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}\\\\\\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 19 + } ], - "text/plain": [ - "⎡ 2 ⎤\n", - "⎢-ell⋅sin(θ)⋅θ̈ - ell⋅cos(θ)⋅θ̇ ⎥\n", - "⎢ ⎥\n", - "⎢ 2 ⎥\n", - "⎣- ell⋅sin(θ)⋅θ̇ + ell⋅cos(θ)⋅θ̈⎦" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "accJ = J.diff(t)*ω + J*ω.diff(t)\n", - "accJ" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "These two expressions derived with the Jacobian are the same as the direct derivatives of the equation for the endpoint position. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## The kinematics of a two-link chain\n", - "\n", - "We now will look at the case of a planar kinematic chain with two links, as shown below. The deduction will be similar to the case with one link we just saw. \n", - "
\n", - "
\"twolinks\"/
Figure. Kinematics of a two-link chain with hinge joints in a plane.
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "We need to define a Cartesian coordinate system and the symbolic variables $t,\\:\\ell_1,\\:\\ell_2,\\:\\theta_1,\\:\\theta_2$ (and make $\\theta_1$ and $\\theta_2$ function of time):" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:43:43.734814Z", - "start_time": "2020-11-03T23:43:43.731978Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "G = CoordSys3D('')\n", - "t = Symbol('t')\n", - "l1, l2 = symbols('ell_1 ell_2', positive=True)\n", - "θ1, θ2 = dynamicsymbols('theta1 theta2')" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "The position of the endpoint in terms of the joint angles and link lengths is:" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:50:09.810615Z", - "start_time": "2020-11-03T23:50:09.671017Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "velJ = J*ω\n", + "velJ" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Eh4Ue2Q2wmSN" + }, + "source": [ + "And the linear acceleration of the endpoint is given by the derivative of this product:\n", + "
\n", + "\n", + "\\begin{equation}\n", + " \\overrightarrow{\\mathbf{a}} = \\dot{\\mathbf{J}} \\cdot \\overrightarrow{\\mathbf{\\omega}} + \\mathbf{J} \\cdot \\dot{\\overrightarrow{\\mathbf{\\omega}}}\n", + "\\end{equation}\n", + "\n", + "\n", + "Let's calculate this derivative:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left(\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right)\\mathbf{\\hat{i}_{}} + \\left(\\ell_{1} \\sin{\\left(\\theta_{1} \\right)} + \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right)\\mathbf{\\hat{j}_{}}$" + "cell_type": "code", + "execution_count": 20, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:43.433861Z", + "start_time": "2020-11-03T13:04:43.288988Z" + }, + "id": "qM0hclxOwmSN", + "outputId": "ce083890-d72e-4b35-c09b-5b6c98458823", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 61 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡ 2 ⎤\n", + "⎢-ell⋅sin(θ)⋅θ̈ - ell⋅cos(θ)⋅θ̇ ⎥\n", + "⎢ ⎥\n", + "⎢ 2 ⎥\n", + "⎣- ell⋅sin(θ)⋅θ̇ + ell⋅cos(θ)⋅θ̈⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell \\sin{\\left(\\theta \\right)} \\ddot{\\theta} - \\ell \\cos{\\left(\\theta \\right)} \\dot{\\theta}^{2}\\\\- \\ell \\sin{\\left(\\theta \\right)} \\dot{\\theta}^{2} + \\ell \\cos{\\left(\\theta \\right)} \\ddot{\\theta}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 20 + } ], - "text/plain": [ - "(ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂)) i_ + (ell₁⋅sin(θ₁) + ell₂⋅sin(θ₁ + θ₂)) j_" + "source": [ + "accJ = J.diff(t)*ω + J*ω.diff(t)\n", + "accJ" ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r2_p = (l1*cos(θ1) + l2*cos(θ1 + θ2))*G.i + (l1*sin(θ1) + l2*sin(θ1 + θ2))*G.j\n", - "r2_p" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "With the components:" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:50:11.642269Z", - "start_time": "2020-11-03T23:50:11.500057Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left\\{ \\mathbf{\\hat{i}_{}} : \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}, \\ \\mathbf{\\hat{j}_{}} : \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} + \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right\\}$" + "cell_type": "markdown", + "metadata": { + "id": "BjPPNVEZwmSN" + }, + "source": [ + "These two expressions derived with the Jacobian are the same as the direct derivatives of the equation for the endpoint position. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AIfAgyhgwmSN" + }, + "source": [ + "## The kinematics of a two-link chain\n", + "\n", + "We now will look at the case of a planar kinematic chain with two links, as shown below. The deduction will be similar to the case with one link we just saw. \n", + "
\n", + "
\"twolinks\"/
Figure. Kinematics of a two-link chain with hinge joints in a plane.
" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "SejziZCCwmSN" + }, + "source": [ + "We need to define a Cartesian coordinate system and the symbolic variables $t,\\:\\ell_1,\\:\\ell_2,\\:\\theta_1,\\:\\theta_2$ (and make $\\theta_1$ and $\\theta_2$ function of time):" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:43:43.734814Z", + "start_time": "2020-11-03T23:43:43.731978Z" + }, + "id": "z_NAMo7owmSN" + }, + "outputs": [], + "source": [ + "G = CoordSys3D('')\n", + "t = Symbol('t')\n", + "l1, l2 = symbols('ell_1 ell_2', positive=True)\n", + "θ1, θ2 = dynamicsymbols('theta1 theta2')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "psFe6Zd7wmSN" + }, + "source": [ + "The position of the endpoint in terms of the joint angles and link lengths is:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:50:09.810615Z", + "start_time": "2020-11-03T23:50:09.671017Z" + }, + "id": "6UGouC_ZwmSN", + "outputId": "5474012b-47f7-40d8-9b22-f0f439d1fcef", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 40 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂)) i_ + (ell₁⋅sin(θ₁) + ell₂⋅sin(θ₁ + θ₂)) j_" + ], + "text/latex": "$\\displaystyle \\left(\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right)\\mathbf{\\hat{i}_{}} + \\left(\\ell_{1} \\sin{\\left(\\theta_{1} \\right)} + \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right)\\mathbf{\\hat{j}_{}}$" + }, + "metadata": {}, + "execution_count": 22 + } ], - "text/plain": [ - "{i_: ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂), j_: ell₁⋅sin(θ₁) + ell₂⋅sin(θ₁ + θ₂)}" + "source": [ + "r2_p = (l1*cos(θ1) + l2*cos(θ1 + θ2))*G.i + (l1*sin(θ1) + l2*sin(θ1 + θ2))*G.j\n", + "r2_p" ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r2_p.components" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "And in matrix form:" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:50:13.375614Z", - "start_time": "2020-11-03T23:50:13.231619Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YmdAi9OrwmSN" + }, + "source": [ + "With the components:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\\\\\ell_{1} \\sin{\\left(\\theta_{1} \\right)} + \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 23, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:50:11.642269Z", + "start_time": "2020-11-03T23:50:11.500057Z" + }, + "id": "zp4tpM-QwmSN", + "outputId": "aa53ad3e-dbcc-42f7-8c94-bbefd13ca15d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 47 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "{i_: ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂), j_: ell₁⋅sin(θ₁) + ell₂⋅sin(θ₁ + θ₂)}" + ], + "text/latex": "$\\displaystyle \\left\\{ \\mathbf{\\hat{i}_{}} : \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}, \\ \\mathbf{\\hat{j}_{}} : \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} + \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right\\}$" + }, + "metadata": {}, + "execution_count": 23 + } ], - "text/plain": [ - "⎡ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂)⎤\n", - "⎢ ⎥\n", - "⎣ell₁⋅sin(θ₁) + ell₂⋅sin(θ₁ + θ₂)⎦" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r2 = Matrix((r2_p.dot(G.i), r2_p.dot(G.j)))\n", - "r2" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Joint and segment angles\n", - "\n", - "Note that $\\theta_2$ is a joint angle (referred as measured in the **joint space**); the angle of the segment 2 with respect to the horizontal is $\\theta_1+\\theta_2$ and is referred as an angle in the **segment space**. \n", - "Joint and segment angles are also referred as relative and absolute angles, respectively." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Inverse kinematics \n", - "\n", - "Using the [cosine rule](http://en.wikipedia.org/wiki/Law_of_cosines), in terms of the endpoint position, the angle $\\theta_2$ is: \n", - "
\n", - "\n", - "\\begin{equation}\n", - "x_P^2 + y_P^2 = \\ell_1^2+\\ell_2^2 - 2\\ell_1 \\ell_2 cos(\\pi-\\theta_2)\n", - "\\end{equation}\n", - "\n", - "\n", - "\n", - "\\begin{equation}\n", - "\\theta_2 = \\arccos\\left(\\frac{x_P^2 + y_P^2 - \\ell_1^2 - \\ell_2^2}{2\\ell_1 \\ell_2}\\;\\;\\right)\n", - "\\end{equation}\n", - "\n", - "\n", - "To find the angle $\\theta_1$, if we now look at the triangle in red in the figure below, its angle $\\phi$ is: \n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\phi = \\arctan\\left(\\frac{\\ell_2 \\sin(\\theta_2)}{\\ell_1 + \\ell_2 \\cos(\\theta_2)}\\right)\n", - "\\end{equation}\n", - "\n", - "\n", - "And the angle of its hypotenuse with the horizontal is: \n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\theta_1 + \\phi = \\arctan\\left(\\frac{y_P}{x_P}\\right)\n", - "\\end{equation}\n", - "\n", - "\n", - "Then, the angle $\\theta_1$ is: \n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\theta_1 = \\arctan\\left(\\frac{y_P}{x_P}\\right) - \\arctan\\left(\\frac{\\ell_2 \\sin(\\theta_2)}{\\ell_1+\\ell_2 \\cos(\\theta_2)}\\right)\n", - "\\end{equation}\n", - "\n", - "\n", - "Note that there are two possible sets of $(\\theta_1, \\theta_2)$ angles for the same $(x_P, y_P)$ coordinate that satisfy the equations above. The figure below shows in orange another possible configuration of the kinematic chain with the same endpoint coordinate. The other solution is $\\theta_2'=2\\pi - \\theta_2$, but $\\sin(\\theta_2')=-sin(\\theta_{2})$ and then the $arctan()$ term in the last equation becomes negative. \n", - "Even for a simple two-link chain we already have a problem of redundancy, there is more than one joint configuration for the same endpoint position; this will be much more problematic for chains with more links (more degrees of freedom). \n", - "
\n", - "
\"twolinks_ik\"/
Figure. Indetermination in the inverse kinematics approach to determine one of the joint angles for a two-link chain with hinge joints in a plane.
" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## Differential kinematics \n", - "\n", - "The linear velocity of the endpoint is:" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:50:17.398058Z", - "start_time": "2020-11-03T23:50:17.244648Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "r2_p.components" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\\\\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} + \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "mXh7jnDmwmSO" + }, + "source": [ + "And in matrix form:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:50:13.375614Z", + "start_time": "2020-11-03T23:50:13.231619Z" + }, + "id": "afAMvTfTwmSO", + "outputId": "49b4cf0b-327a-465c-9853-7f86a3e715dc", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 58 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂)⎤\n", + "⎢ ⎥\n", + "⎣ell₁⋅sin(θ₁) + ell₂⋅sin(θ₁ + θ₂)⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\\\\\ell_{1} \\sin{\\left(\\theta_{1} \\right)} + \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 24 + } ], - "text/plain": [ - "⎡-ell₁⋅sin(θ₁)⋅θ₁̇ - ell₂⋅(θ₁̇ + θ₂̇)⋅sin(θ₁ + θ₂)⎤\n", - "⎢ ⎥\n", - "⎣ell₁⋅cos(θ₁)⋅θ₁̇ + ell₂⋅(θ₁̇ + θ₂̇)⋅cos(θ₁ + θ₂) ⎦" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "vel2 = r2.diff(t)\n", - "vel2" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "The linear velocity of the endpoint is the sum of the velocities at each joint, i.e., it is the velocity of the endpoint in relation to joint 2, for instance, \n", - "$\\ell_2cos(\\theta_1 + \\theta_2)\\dot{\\theta}_1$, plus the velocity of joint 2 in relation to joint 1, for instance, $\\ell_1\\dot{\\theta}_1 cos(\\theta_1)$, and this last term we already saw for the one-link example. In classical mechanics this is known as [relative velocity](http://en.wikipedia.org/wiki/Relative_velocity), an example of [Galilean transformation](http://en.wikipedia.org/wiki/Galilean_transformation)." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "The linear acceleration of the endpoint is:" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:50:21.316813Z", - "start_time": "2020-11-03T23:50:21.131606Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "r2 = Matrix((r2_p.dot(G.i), r2_p.dot(G.j)))\n", + "r2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "qTNyUF_YwmSO" + }, + "source": [ + "### Joint and segment angles\n", + "\n", + "Note that $\\theta_2$ is a joint angle (referred as measured in the **joint space**); the angle of the segment 2 with respect to the horizontal is $\\theta_1+\\theta_2$ and is referred as an angle in the **segment space**. \n", + "Joint and segment angles are also referred as relative and absolute angles, respectively." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "252nkywpwmSO" + }, + "source": [ + "### Inverse kinematics\n", + "\n", + "Using the [cosine rule](http://en.wikipedia.org/wiki/Law_of_cosines), in terms of the endpoint position, the angle $\\theta_2$ is: \n", + "
\n", + "\n", + "\\begin{equation}\n", + "x_P^2 + y_P^2 = \\ell_1^2+\\ell_2^2 - 2\\ell_1 \\ell_2 cos(\\pi-\\theta_2)\n", + "\\end{equation}\n", + "\n", + "\n", + "\n", + "\\begin{equation}\n", + "\\theta_2 = \\arccos\\left(\\frac{x_P^2 + y_P^2 - \\ell_1^2 - \\ell_2^2}{2\\ell_1 \\ell_2}\\;\\;\\right)\n", + "\\end{equation}\n", + "\n", + "\n", + "To find the angle $\\theta_1$, if we now look at the triangle in red in the figure below, its angle $\\phi$ is: \n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\phi = \\arctan\\left(\\frac{\\ell_2 \\sin(\\theta_2)}{\\ell_1 + \\ell_2 \\cos(\\theta_2)}\\right)\n", + "\\end{equation}\n", + "\n", + "\n", + "And the angle of its hypotenuse with the horizontal is: \n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\theta_1 + \\phi = \\arctan\\left(\\frac{y_P}{x_P}\\right)\n", + "\\end{equation}\n", + "\n", + "\n", + "Then, the angle $\\theta_1$ is: \n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\theta_1 = \\arctan\\left(\\frac{y_P}{x_P}\\right) - \\arctan\\left(\\frac{\\ell_2 \\sin(\\theta_2)}{\\ell_1+\\ell_2 \\cos(\\theta_2)}\\right)\n", + "\\end{equation}\n", + "\n", + "\n", + "Note that there are two possible sets of $(\\theta_1, \\theta_2)$ angles for the same $(x_P, y_P)$ coordinate that satisfy the equations above. The figure below shows in orange another possible configuration of the kinematic chain with the same endpoint coordinate. The other solution is $\\theta_2'=2\\pi - \\theta_2$, but $\\sin(\\theta_2')=-sin(\\theta_{2})$ and then the $arctan()$ term in the last equation becomes negative. \n", + "Even for a simple two-link chain we already have a problem of redundancy, there is more than one joint configuration for the same endpoint position; this will be much more problematic for chains with more links (more degrees of freedom). \n", + "
\n", + "
\"twolinks_ik\"/
Figure. Indetermination in the inverse kinematics approach to determine one of the joint angles for a two-link chain with hinge joints in a plane.
" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- (\\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\ddot{\\theta}_{1} + \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1}^{2} + \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right)^{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} + \\ell_{2} \\left(\\ddot{\\theta}_{1} + \\ddot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)})\\\\- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1}^{2} + \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\ddot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right)^{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} + \\ell_{2} \\left(\\ddot{\\theta}_{1} + \\ddot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "0R_DJLtGwmSO" + }, + "source": [ + "## Differential kinematics\n", + "\n", + "The linear velocity of the endpoint is:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:50:17.398058Z", + "start_time": "2020-11-03T23:50:17.244648Z" + }, + "id": "OtlHrv5OwmSO", + "outputId": "6a8494c7-28d3-4065-c42a-9931343972f9", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 78 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell₁⋅sin(θ₁)⋅θ₁̇ - ell₂⋅(θ₁̇ + θ₂̇)⋅sin(θ₁ + θ₂)⎤\n", + "⎢ ⎥\n", + "⎣ell₁⋅cos(θ₁)⋅θ₁̇ + ell₂⋅(θ₁̇ + θ₂̇)⋅cos(θ₁ + θ₂) ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\\\\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} + \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 25 + } ], - "text/plain": [ - "⎡ ⎛ 2 2 ⎞⎤\n", - "⎢-⎝ell₁⋅sin(θ₁)⋅θ₁̈ + ell₁⋅cos(θ₁)⋅θ₁̇ + ell₂⋅(θ₁̇ + θ₂̇) ⋅cos(θ₁ + θ₂) + ell₂⋅(θ₁̈ + θ₂̈)⋅sin(θ₁ + θ₂)⎠⎥\n", - "⎢ ⎥\n", - "⎢ 2 2 ⎥\n", - "⎣- ell₁⋅sin(θ₁)⋅θ₁̇ + ell₁⋅cos(θ₁)⋅θ₁̈ - ell₂⋅(θ₁̇ + θ₂̇) ⋅sin(θ₁ + θ₂) + ell₂⋅(θ₁̈ + θ₂̈)⋅cos(θ₁ + θ₂) ⎦" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "acc2 = r2.diff(t, 2)\n", - "acc2" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "We can separate the equation above for the linear acceleration in three types of terms: proportional to $\\ddot{\\theta}$ and to $\\dot{\\theta}^2$, as we already saw for the one-link case, and a new term, proportional to $\\dot{\\theta}_1\\dot{\\theta}_2$:" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.230099Z", - "start_time": "2020-11-03T13:04:44.202371Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "vel2 = r2.diff(t)\n", + "vel2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4mdLHd-BwmSO" + }, + "source": [ + "The linear velocity of the endpoint is the sum of the velocities at each joint, i.e., it is the velocity of the endpoint in relation to joint 2, for instance, \n", + "$\\ell_2cos(\\theta_1 + \\theta_2)\\dot{\\theta}_1$, plus the velocity of joint 2 in relation to joint 1, for instance, $\\ell_1\\dot{\\theta}_1 cos(\\theta_1)$, and this last term we already saw for the one-link example. In classical mechanics this is known as [relative velocity](http://en.wikipedia.org/wiki/Relative_velocity), an example of [Galilean transformation](http://en.wikipedia.org/wiki/Galilean_transformation)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "4Bdl_dBvwmSO" + }, + "source": [ + "The linear acceleration of the endpoint is:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\text{Tangential:} \\:\\,\\left[\\begin{matrix}- \\ell_{2} \\sin{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)} \\frac{d^{2}}{d t^{2}} \\theta_{2}{\\left(t \\right)} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1}{\\left(t \\right)} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)}\\right) \\frac{d^{2}}{d t^{2}} \\theta_{1}{\\left(t \\right)}\\\\\\ell_{2} \\cos{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)} \\frac{d^{2}}{d t^{2}} \\theta_{2}{\\left(t \\right)} + \\left(\\ell_{1} \\cos{\\left(\\theta_{1}{\\left(t \\right)} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)}\\right) \\frac{d^{2}}{d t^{2}} \\theta_{1}{\\left(t \\right)}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 26, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:50:21.316813Z", + "start_time": "2020-11-03T23:50:21.131606Z" + }, + "id": "KGT7tGY9wmSO", + "outputId": "479c1733-b2c2-4a7e-994c-1d8fd88186d8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 88 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡ ⎛ 2 2 \n", + "⎢-⎝ell₁⋅sin(θ₁)⋅θ₁̈ + ell₁⋅cos(θ₁)⋅θ₁̇ + ell₂⋅(θ₁̇ + θ₂̇) ⋅cos(θ₁ + θ₂) + ell\n", + "⎢ \n", + "⎢ 2 2 \n", + "⎣- ell₁⋅sin(θ₁)⋅θ₁̇ + ell₁⋅cos(θ₁)⋅θ₁̈ - ell₂⋅(θ₁̇ + θ₂̇) ⋅sin(θ₁ + θ₂) + ell\n", + "\n", + " ⎞⎤\n", + "₂⋅(θ₁̈ + θ₂̈)⋅sin(θ₁ + θ₂)⎠⎥\n", + " ⎥\n", + " ⎥\n", + "₂⋅(θ₁̈ + θ₂̈)⋅cos(θ₁ + θ₂) ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- (\\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\ddot{\\theta}_{1} + \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1}^{2} + \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right)^{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} + \\ell_{2} \\left(\\ddot{\\theta}_{1} + \\ddot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)})\\\\- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1}^{2} + \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\ddot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right)^{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} + \\ell_{2} \\left(\\ddot{\\theta}_{1} + \\ddot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 26 + } ], - "text/plain": [ - "" + "source": [ + "acc2 = r2.diff(t, 2)\n", + "acc2" ] - }, - "metadata": {}, - "output_type": "display_data" }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n" - ] + "cell_type": "markdown", + "metadata": { + "id": "RlNrj9OBwmSP" + }, + "source": [ + "We can separate the equation above for the linear acceleration in three types of terms: proportional to $\\ddot{\\theta}$ and to $\\dot{\\theta}^2$, as we already saw for the one-link case, and a new term, proportional to $\\dot{\\theta}_1\\dot{\\theta}_2$:" + ] }, { - "data": { - "text/latex": [ - "$\\displaystyle \\text{Centripetal:}\\left[\\begin{matrix}- \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2}^{2} + \\left(- \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} - \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}^{2}\\\\- \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2}^{2} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}^{2}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 27, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.230099Z", + "start_time": "2020-11-03T13:04:44.202371Z" + }, + "id": "tGb2lMxEwmSP", + "outputId": "7cb6dc78-9c16-46c4-91d5-99d2ec8db325", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 190 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "" + ], + "text/latex": "$\\displaystyle \\text{Tangential:} \\:\\,\\left[\\begin{matrix}- \\ell_{2} \\sin{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)} \\frac{d^{2}}{d t^{2}} \\theta_{2}{\\left(t \\right)} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1}{\\left(t \\right)} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)}\\right) \\frac{d^{2}}{d t^{2}} \\theta_{1}{\\left(t \\right)}\\\\\\ell_{2} \\cos{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)} \\frac{d^{2}}{d t^{2}} \\theta_{2}{\\left(t \\right)} + \\left(\\ell_{1} \\cos{\\left(\\theta_{1}{\\left(t \\right)} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1}{\\left(t \\right)} + \\theta_{2}{\\left(t \\right)} \\right)}\\right) \\frac{d^{2}}{d t^{2}} \\theta_{1}{\\left(t \\right)}\\end{matrix}\\right]$" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "" + ], + "text/latex": "$\\displaystyle \\text{Centripetal:}\\left[\\begin{matrix}- \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2}^{2} + \\left(- \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} - \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}^{2}\\\\- \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2}^{2} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}^{2}\\end{matrix}\\right]$" + }, + "metadata": {} + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "" + ], + "text/latex": "$\\displaystyle \\text{Coriolis:} \\quad\\,\\left[\\begin{matrix}- 2 \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{1} \\dot{\\theta}_{2}\\\\- 2 \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{1} \\dot{\\theta}_{2}\\end{matrix}\\right]$" + }, + "metadata": {} + } ], - "text/plain": [ - "" + "source": [ + "acc2 = acc2.expand()\n", + "A = θ1.diff(t, 2)\n", + "B = θ2.diff(t, 2)\n", + "tg = A*Matrix((acc2[0].coeff(A),acc2[1].coeff(A)))+B*Matrix((acc2[0].coeff(B),acc2[1].coeff(B)))\n", + "\n", + "A = θ1.diff(t)**2\n", + "B = θ2.diff(t)**2\n", + "ct = A*Matrix((acc2[0].coeff(A),acc2[1].coeff(A)))+B*Matrix((acc2[0].coeff(B),acc2[1].coeff(B)))\n", + "\n", + "A = θ1.diff(t)*θ2.diff(t)\n", + "co = A*Matrix((acc2[0].coeff(A),acc2[1].coeff(A)))\n", + "\n", + "display(Math(r'\\text{Tangential:} \\:\\,' + latex(tg)))\n", + "print()\n", + "display(Math(r'\\text{Centripetal:}' + mlatex(ct)))\n", + "print()\n", + "display(Math(r'\\text{Coriolis:} \\quad\\,' + mlatex(co)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jliNj7-VwmSP" + }, + "source": [ + "This new term is called the [Coriolis acceleration](http://en.wikipedia.org/wiki/Coriolis_effect); it is 'felt' by the endpoint when its distance to the instantaneous center of rotation varies, due to the links' constraints, and as consequence the endpoint motion is deflected (its direction is perpendicular to the relative linear velocity of the endpoint with respect to the linear velocity at the second joint, $\\mathbf{v} - \\mathbf{v}_{joint2}$." ] - }, - "metadata": {}, - "output_type": "display_data" }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n" - ] + "cell_type": "markdown", + "metadata": { + "id": "-ZzNDSwNwmSP" + }, + "source": [ + "Let's now deduce the Jacobian for this planar two-link chain: \n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\mathbf{J} =\n", + "\\large\n", + "\\begin{bmatrix}\n", + "\\frac{\\partial x_P}{\\partial \\theta_{1}} & \\frac{\\partial x_P}{\\partial \\theta_{2}} \\\\\n", + "\\frac{\\partial y_P}{\\partial \\theta_{1}} & \\frac{\\partial y_P}{\\partial \\theta_{2}} \\\\\n", + "\\end{bmatrix}\n", + "\\end{equation}\n", + "" + ] }, { - "data": { - "text/latex": [ - "$\\displaystyle \\text{Coriolis:} \\quad\\,\\left[\\begin{matrix}- 2 \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{1} \\dot{\\theta}_{2}\\\\- 2 \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{1} \\dot{\\theta}_{2}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "b9c_28oDwmSP" + }, + "source": [ + "We could manually run: \n", + "```python\n", + "J = Matrix([[r2[0].diff(theta1), r2[0].diff(theta2)], [r2[1].diff(theta1), r2[1].diff(theta2)]])\n", + "```\n", + "But it's shorter with the Jacobian function from Sympy:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.395413Z", + "start_time": "2020-11-03T13:04:44.231371Z" + }, + "id": "Pw6HQrJUwmSP", + "outputId": "c9af1877-f4dd-4318-fa64-51dccd21e499", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 58 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell₁⋅sin(θ₁) - ell₂⋅sin(θ₁ + θ₂) -ell₂⋅sin(θ₁ + θ₂)⎤\n", + "⎢ ⎥\n", + "⎣ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂) ell₂⋅cos(θ₁ + θ₂) ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} & - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\\\\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} & \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 28 + } ], - "text/plain": [ - "" + "source": [ + "J2 = r2.jacobian([θ1, θ2])\n", + "J2" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "acc2 = acc2.expand()\n", - "A = θ1.diff(t, 2)\n", - "B = θ2.diff(t, 2)\n", - "tg = A*Matrix((acc2[0].coeff(A),acc2[1].coeff(A)))+B*Matrix((acc2[0].coeff(B),acc2[1].coeff(B)))\n", - "\n", - "A = θ1.diff(t)**2\n", - "B = θ2.diff(t)**2\n", - "ct = A*Matrix((acc2[0].coeff(A),acc2[1].coeff(A)))+B*Matrix((acc2[0].coeff(B),acc2[1].coeff(B)))\n", - "\n", - "A = θ1.diff(t)*θ2.diff(t)\n", - "co = A*Matrix((acc2[0].coeff(A),acc2[1].coeff(A)))\n", - "\n", - "display(Math(r'\\text{Tangential:} \\:\\,' + latex(tg)))\n", - "print()\n", - "display(Math(r'\\text{Centripetal:}' + mlatex(ct)))\n", - "print()\n", - "display(Math(r'\\text{Coriolis:} \\quad\\,' + mlatex(co)))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "This new term is called the [Coriolis acceleration](http://en.wikipedia.org/wiki/Coriolis_effect); it is 'felt' by the endpoint when its distance to the instantaneous center of rotation varies, due to the links' constraints, and as consequence the endpoint motion is deflected (its direction is perpendicular to the relative linear velocity of the endpoint with respect to the linear velocity at the second joint, $\\mathbf{v} - \\mathbf{v}_{joint2}$." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "Let's now deduce the Jacobian for this planar two-link chain: \n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\mathbf{J} = \n", - "\\large\n", - "\\begin{bmatrix}\n", - "\\frac{\\partial x_P}{\\partial \\theta_{1}} & \\frac{\\partial x_P}{\\partial \\theta_{2}} \\\\\n", - "\\frac{\\partial y_P}{\\partial \\theta_{1}} & \\frac{\\partial y_P}{\\partial \\theta_{2}} \\\\\n", - "\\end{bmatrix}\n", - "\\end{equation}\n", - "" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "We could manually run: \n", - "```python\n", - "J = Matrix([[r2[0].diff(theta1), r2[0].diff(theta2)], [r2[1].diff(theta1), r2[1].diff(theta2)]])\n", - "```\n", - "But it's shorter with the Jacobian function from Sympy:" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.395413Z", - "start_time": "2020-11-03T13:04:44.231371Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nyNtFNgGwmSP" + }, + "source": [ + "Using the Jacobian, the linear velocity of the endpoint is: \n", + "
\n", + "\n", + "\\begin{equation}\n", + " \\mathbf{v_J} = \\mathbf{J} \\cdot \\begin{bmatrix}\\dot{\\theta_1} \\\\\n", + " \\dot{\\theta_2}\\\\\n", + " \\end{bmatrix}\n", + "\\end{equation}\n", + "\n", + "\n", + "Where:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} & - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\\\\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} & \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 29, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.531123Z", + "start_time": "2020-11-03T13:04:44.396480Z" + }, + "id": "PvP51Xq-wmSP", + "outputId": "e30b1699-d653-47c1-91da-af99f7309691", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 61 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡θ₁̇⎤\n", + "⎢ ⎥\n", + "⎣θ₂̇⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}\\dot{\\theta}_{1}\\\\\\dot{\\theta}_{2}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 29 + } ], - "text/plain": [ - "⎡-ell₁⋅sin(θ₁) - ell₂⋅sin(θ₁ + θ₂) -ell₂⋅sin(θ₁ + θ₂)⎤\n", - "⎢ ⎥\n", - "⎣ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂) ell₂⋅cos(θ₁ + θ₂) ⎦" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "J2 = r2.jacobian([θ1, θ2])\n", - "J2" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "Using the Jacobian, the linear velocity of the endpoint is: \n", - "
\n", - "\n", - "\\begin{equation}\n", - " \\mathbf{v_J} = \\mathbf{J} \\cdot \\begin{bmatrix}\\dot{\\theta_1} \\\\\n", - " \\dot{\\theta_2}\\\\ \n", - " \\end{bmatrix}\n", - "\\end{equation}\n", - "\n", - "\n", - "Where:" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.531123Z", - "start_time": "2020-11-03T13:04:44.396480Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "ω2 = Matrix((θ1, θ2)).diff(t)\n", + "ω2" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}\\dot{\\theta}_{1}\\\\\\dot{\\theta}_{2}\\end{matrix}\\right]$" + "cell_type": "markdown", + "metadata": { + "id": "gMtc7SrIwmSP" + }, + "source": [ + "Then:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.676026Z", + "start_time": "2020-11-03T13:04:44.532210Z" + }, + "id": "7uGYyhCcwmSQ", + "outputId": "f02dc4b5-7a4f-4e92-a93d-98cd84c54093", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 61 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell₂⋅sin(θ₁ + θ₂)⋅θ₂̇ + (-ell₁⋅sin(θ₁) - ell₂⋅sin(θ₁ + θ₂))⋅θ₁̇⎤\n", + "⎢ ⎥\n", + "⎣ ell₂⋅cos(θ₁ + θ₂)⋅θ₂̇ + (ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂))⋅θ₁̇ ⎦" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\\\\\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} + \\left(\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 30 + } ], - "text/plain": [ - "⎡θ₁̇⎤\n", - "⎢ ⎥\n", - "⎣θ₂̇⎦" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ω2 = Matrix((θ1, θ2)).diff(t)\n", - "ω2" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "Then:" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.676026Z", - "start_time": "2020-11-03T13:04:44.532210Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "vel2J = J2*ω2\n", + "vel2J" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3TbEUGrhwmSQ" + }, + "source": [ + "This expression derived with the Jacobian is the same as the first-order derivative of the equation for the endpoint position. We can show this equality by comparing the two expressions with Sympy:" + ] + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\\\\\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} + \\left(\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 31, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.682854Z", + "start_time": "2020-11-03T13:04:44.677104Z" + }, + "id": "jEim3RTIwmSQ", + "outputId": "ac5ba09b-c0bf-4411-8562-2d819ff15363", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 31 + } ], - "text/plain": [ - "⎡-ell₂⋅sin(θ₁ + θ₂)⋅θ₂̇ + (-ell₁⋅sin(θ₁) - ell₂⋅sin(θ₁ + θ₂))⋅θ₁̇⎤\n", - "⎢ ⎥\n", - "⎣ ell₂⋅cos(θ₁ + θ₂)⋅θ₂̇ + (ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂))⋅θ₁̇ ⎦" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "vel2J = J2*ω2\n", - "vel2J" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "This expression derived with the Jacobian is the same as the first-order derivative of the equation for the endpoint position. We can show this equality by comparing the two expressions with Sympy:" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.682854Z", - "start_time": "2020-11-03T13:04:44.677104Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "vel2.expand() == vel2J.expand()" + ] + }, { - "data": { - "text/plain": [ - "True" + "cell_type": "markdown", + "metadata": { + "id": "WNIPB2kcwmSQ" + }, + "source": [ + "Once again, the linear acceleration of the endpoint is given by the derivative of the product between the Jacobian and the angular velocity: \n", + "
\n", + "\n", + "\\begin{equation}\n", + "\\mathbf{a} = \\dot{\\mathbf{J}} \\cdot \\mathbf{\\omega} + \\mathbf{J} \\cdot \\dot{\\mathbf{\\omega}}\n", + "\\end{equation}\n", + "\n", + "\n", + "Let's calculate this derivative:" ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "vel2.expand() == vel2J.expand()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "Once again, the linear acceleration of the endpoint is given by the derivative of the product between the Jacobian and the angular velocity: \n", - "
\n", - "\n", - "\\begin{equation}\n", - "\\mathbf{a} = \\dot{\\mathbf{J}} \\cdot \\mathbf{\\omega} + \\mathbf{J} \\cdot \\dot{\\mathbf{\\omega}}\n", - "\\end{equation}\n", - "\n", - "\n", - "Let's calculate this derivative:" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.856062Z", - "start_time": "2020-11-03T13:04:44.683543Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\ddot{\\theta}_{2} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\ddot{\\theta}_{1} + \\left(- \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\\\- \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\ddot{\\theta}_{2} + \\left(\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\ddot{\\theta}_{1} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\end{matrix}\\right]$" + "cell_type": "code", + "execution_count": 32, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.856062Z", + "start_time": "2020-11-03T13:04:44.683543Z" + }, + "id": "JAPWSbdlwmSQ", + "outputId": "5c3ddb87-f14c-47a9-c467-3054c55c2ee4", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 78 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "⎡-ell₂⋅(θ₁̇ + θ₂̇)⋅cos(θ₁ + θ₂)⋅θ₂̇ - ell₂⋅sin(θ₁ + θ₂)⋅θ₂̈ + (-ell₁⋅sin(θ₁) -\n", + "⎢ \n", + "⎣-ell₂⋅(θ₁̇ + θ₂̇)⋅sin(θ₁ + θ₂)⋅θ₂̇ + ell₂⋅cos(θ₁ + θ₂)⋅θ₂̈ + (ell₁⋅cos(θ₁) + \n", + "\n", + " ell₂⋅sin(θ₁ + θ₂))⋅θ₁̈ + (-ell₁⋅cos(θ₁)⋅θ₁̇ - ell₂⋅(θ₁̇ + θ₂̇)⋅cos(θ₁ + θ₂))⋅\n", + " ⎥\n", + "ell₂⋅cos(θ₁ + θ₂))⋅θ₁̈ + (-ell₁⋅sin(θ₁)⋅θ₁̇ - ell₂⋅(θ₁̇ + θ₂̇)⋅sin(θ₁ + θ₂))⋅θ" + ], + "text/latex": "$\\displaystyle \\left[\\begin{matrix}- \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\ddot{\\theta}_{2} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} - \\ell_{2} \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\ddot{\\theta}_{1} + \\left(- \\ell_{1} \\cos{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\\\- \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)} \\dot{\\theta}_{2} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)} \\ddot{\\theta}_{2} + \\left(\\ell_{1} \\cos{\\left(\\theta_{1} \\right)} + \\ell_{2} \\cos{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\ddot{\\theta}_{1} + \\left(- \\ell_{1} \\sin{\\left(\\theta_{1} \\right)} \\dot{\\theta}_{1} - \\ell_{2} \\left(\\dot{\\theta}_{1} + \\dot{\\theta}_{2}\\right) \\sin{\\left(\\theta_{1} + \\theta_{2} \\right)}\\right) \\dot{\\theta}_{1}\\end{matrix}\\right]$" + }, + "metadata": {}, + "execution_count": 32 + } ], - "text/plain": [ - "⎡-ell₂⋅(θ₁̇ + θ₂̇)⋅cos(θ₁ + θ₂)⋅θ₂̇ - ell₂⋅sin(θ₁ + θ₂)⋅θ₂̈ + (-ell₁⋅sin(θ₁) - ell₂⋅sin(θ₁ + θ₂))⋅θ₁̈ + (-\n", - "⎢ \n", - "⎣-ell₂⋅(θ₁̇ + θ₂̇)⋅sin(θ₁ + θ₂)⋅θ₂̇ + ell₂⋅cos(θ₁ + θ₂)⋅θ₂̈ + (ell₁⋅cos(θ₁) + ell₂⋅cos(θ₁ + θ₂))⋅θ₁̈ + (-e\n", - "\n", - "ell₁⋅cos(θ₁)⋅θ₁̇ - ell₂⋅(θ₁̇ + θ₂̇)⋅cos(θ₁ + θ₂))⋅θ₁̇⎤\n", - " ⎥\n", - "ll₁⋅sin(θ₁)⋅θ₁̇ - ell₂⋅(θ₁̇ + θ₂̇)⋅sin(θ₁ + θ₂))⋅θ₁̇ ⎦" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "acc2J = J2.diff(t)*ω2 + J2*ω2.diff(t)\n", - "acc2J" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "Once again, the expression above is the same as the second-order derivative of the equation for the endpoint position:" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:44.868701Z", - "start_time": "2020-11-03T13:04:44.857098Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + "source": [ + "acc2J = J2.diff(t)*ω2 + J2*ω2.diff(t)\n", + "acc2J" + ] + }, { - "data": { - "text/plain": [ - "True" + "cell_type": "markdown", + "metadata": { + "id": "MHYkUQEGwmSQ" + }, + "source": [ + "Once again, the expression above is the same as the second-order derivative of the equation for the endpoint position:" ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "acc2.expand() == acc2J.expand()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "### Simulation\n", - "\n", - "Let's plot some simulated data to have an idea of the two-link kinematics. \n", - "Consider 1 s of movement duration, $\\ell_1=\\ell_2=0.5m, \\theta_1(0)=\\theta_2(0)=0$, $\\theta_1(1)=\\theta_2(1)=90^o$, and that the endpoint trajectory is a [minimum-jerk movement](https://nbviewer.jupyter.org/github/BMClab/bmc/blob/master/notebooks/MinimumJerkHypothesis.ipynb). \n", - "\n", - "First, the simulated trajectories:" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:59:25.057256Z", - "start_time": "2020-11-03T23:59:23.458044Z" - }, - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "t, p0, pf, d = symbols('t p0 pf d')\n", - "rx = dynamicsymbols('rx', real=True) # or Function('rx')(t) \n", - "ry = dynamicsymbols('ry', real=True) # or Function('ry')(t) \n", - "\n", - "# minimum jerk kinematics\n", - "mjt = p0 + (pf - p0)*(10*(t/d)**3 - 15*(t/d)**4 + 6*(t/d)**5)\n", - "rfu = lambdify((t, p0, pf, d), mjt, 'numpy')\n", - "vfu = lambdify((t, p0, pf, d), diff(mjt, t, 1), 'numpy')\n", - "afu = lambdify((t, p0, pf, d), diff(mjt, t, 2), 'numpy')\n", - "jfu = lambdify((t, p0, pf, d), diff(mjt, t, 3), 'numpy')\n", - "# values\n", - "d, L1, L2 = 1, .5, .5\n", - "#initial values:\n", - "p0, pf = [-0.5, 0.5], [0, .5*np.sqrt(2)]\n", - "ts = np.arange(0.01, 1.01, .01)\n", - "\n", - "# endpoint kinematics\n", - "x = rfu(ts, p0[0], pf[0], d)\n", - "y = rfu(ts, p0[1], pf[1], d)\n", - "vx = vfu(ts, p0[0], pf[0], d)\n", - "vy = vfu(ts, p0[1], pf[1], d)\n", - "ax = afu(ts, p0[0], pf[0], d)\n", - "ay = afu(ts, p0[1], pf[1], d)\n", - "jx = jfu(ts, p0[0], pf[0], d)\n", - "jy = jfu(ts, p0[1], pf[1], d)\n", - "\n", - "# inverse kinematics\n", - "ang2b = np.arccos((x**2 + y**2 - L1**2 - L2**2)/(2*L1*L2))\n", - "ang1b = np.arctan2(y, x) - (np.arctan2(L2*np.sin(ang2b), (L1+L2*np.cos(ang2b))))\n", - "\n", - "ang2 = acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2))\n", - "ang2fu = lambdify((rx ,ry, l1, l2), ang2, 'numpy');\n", - "ang2 = ang2fu(x, y, L1, L2)\n", - "ang1 = atan2(ry, rx) - (atan(l2*sin(acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2)))/ \\\n", - " (l1+l2*cos(acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2))))))\n", - "ang1fu = lambdify((rx, ry, l1, l2), ang1, 'numpy');\n", - "ang1 = ang1fu(x, y, L1, L2)\n", - "\n", - "ang2b = acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2))\n", - "ang1b = atan2(ry, rx) - (atan(l2*sin(acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2)))/ \\\n", - " (l1 + l2*cos(acos((rx**2 + ry**2-l1**2 - l2**2)/(2*l1*l2))))))\n", - "X, Y, Xd, Yd, Xdd, Ydd, Xddd, Yddd = symbols('X Y Xd Yd Xdd Ydd Xddd Yddd')\n", - "dicti = {rx:X, ry:Y, rx.diff(t, 1):Xd, ry.diff(t, 1):Yd, \\\n", - " rx.diff(t, 2):Xdd, ry.diff(t, 2):Ydd, rx.diff(t, 3):Xddd, ry.diff(t, 3):Yddd, l1:L1, l2:L2}\n", - "vang1 = diff(ang1b, t, 1)\n", - "vang1 = vang1.subs(dicti)\n", - "vang1fu = lambdify((X, Y, Xd, Yd, l1, l2), vang1, 'numpy')\n", - "vang1 = vang1fu(x, y, vx, vy, L1, L2)\n", - "vang2 = diff(ang2b, t, 1)\n", - "vang2 = vang2.subs(dicti)\n", - "vang2fu = lambdify((X, Y, Xd, Yd, l1, l2), vang2, 'numpy')\n", - "vang2 = vang2fu(x, y, vx, vy, L1, L2)\n", - "\n", - "aang1 = diff(ang1b, t, 2)\n", - "aang1 = aang1.subs(dicti)\n", - "aang1fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, l1, l2), aang1, 'numpy')\n", - "aang1 = aang1fu(x, y, vx, vy, ax, ay, L1, L2)\n", - "aang2 = diff(ang2b, t, 2)\n", - "aang2 = aang2.subs(dicti)\n", - "aang2fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, l1, l2), aang2, 'numpy')\n", - "aang2 = aang2fu(x, y, vx, vy, ax, ay, L1, L2)\n", - "\n", - "jang1 = diff(ang1b, t, 3)\n", - "jang1 = jang1.subs(dicti)\n", - "jang1fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, Xddd, Yddd, l1, l2), jang1, 'numpy')\n", - "jang1 = jang1fu(x, y, vx, vy, ax, ay, jx, jy, L1, L2)\n", - "jang2 = diff(ang2b, t, 3)\n", - "jang2 = jang2.subs(dicti)\n", - "jang2fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, Xddd, Yddd, l1, l2), jang2, 'numpy')\n", - "jang2 = jang2fu(x, y, vx, vy, ax, ay, jx, jy, L1, L2)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "And the plots for the trajectories:" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T23:59:37.370357Z", - "start_time": "2020-11-03T23:59:36.511398Z" - }, - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [ + }, { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 33, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:44.868701Z", + "start_time": "2020-11-03T13:04:44.857098Z" + }, + "id": "V8yuUASzwmSQ", + "outputId": "cff19c0d-2f23-4bda-e8a0-1f2441d51967", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "execution_count": 33 + } + ], + "source": [ + "acc2.expand() == acc2J.expand()" ] - }, - "metadata": {}, - "output_type": "display_data" }, { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": { + "id": "WLEDjkr0wmSQ" + }, + "source": [ + "### Simulation\n", + "\n", + "Let's plot some simulated data to have an idea of the two-link kinematics. \n", + "Consider 1 s of movement duration, $\\ell_1=\\ell_2=0.5m, \\theta_1(0)=\\theta_2(0)=0$, $\\theta_1(1)=\\theta_2(1)=90^o$, and that the endpoint trajectory is a [minimum-jerk movement](https://nbviewer.jupyter.org/github/BMClab/bmc/blob/master/notebooks/MinimumJerkHypothesis.ipynb). \n", + "\n", + "First, the simulated trajectories:" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, hax = plt.subplots(2, 4, sharex = True, figsize=(14, 7))\n", - "\n", - "hax[0, 0].plot(ts, x, 'r', linewidth=3, label = 'x')\n", - "hax[0, 0].plot(ts, y, 'k', linewidth=3, label = 'y')\n", - "hax[0, 0].set_title('Linear displacement [$m$]')\n", - "hax[0, 0].legend(loc='best').get_frame().set_alpha(0.8)\n", - "hax[0, 0].set_ylabel('Endpoint')\n", - "\n", - "hax[0, 1].plot(ts, vx, 'r', linewidth=3)\n", - "hax[0, 1].plot(ts, vy, 'k', linewidth=3)\n", - "hax[0, 1].set_title('Linear velocity [$m/s$]')\n", - "\n", - "hax[0, 2].plot(ts, ax, 'r', linewidth=3)\n", - "hax[0, 2].plot(ts, ay, 'k', linewidth=3)\n", - "hax[0, 2].set_title('Linear acceleration [$m/s^2$]')\n", - "\n", - "hax[0, 3].plot(ts, jx, 'r', linewidth=3)\n", - "hax[0, 3].plot(ts, jy, 'k', linewidth=3)\n", - "hax[0, 3].set_title('Linear jerk [$m/s^3$]')\n", - "\n", - "hax[1, 0].plot(ts, ang1*180/np.pi, 'b', linewidth=3, label = 'Ang1')\n", - "hax[1, 0].plot(ts, ang2*180/np.pi, 'g', linewidth=3, label = 'Ang2')\n", - "hax[1, 0].set_title('Angular displacement [$^o$]')\n", - "hax[1, 0].legend(loc='best').get_frame().set_alpha(0.8)\n", - "hax[1, 0].set_ylabel('Joint')\n", - "\n", - "hax[1, 1].plot(ts, vang1*180/np.pi, 'b', linewidth=3)\n", - "hax[1, 1].plot(ts, vang2*180/np.pi, 'g', linewidth=3)\n", - "hax[1, 1].set_title('Angular velocity [$^o/s$]')\n", - "\n", - "hax[1, 2].plot(ts, aang1*180/np.pi, 'b', linewidth=3)\n", - "hax[1, 2].plot(ts, aang2*180/np.pi, 'g', linewidth=3)\n", - "hax[1, 2].set_title('Angular acceleration [$^o/s^2$]')\n", - "\n", - "hax[1, 3].plot(ts, jang1*180/np.pi, 'b', linewidth=3)\n", - "hax[1, 3].plot(ts, jang2*180/np.pi, 'g', linewidth=3)\n", - "hax[1, 3].set_title('Angular jerk [$^o/s^3$]')\n", - "\n", - "tit = fig.suptitle('Minimum jerk trajectory kinematics of a two-link chain', fontsize=20)\n", - "for i, hax2 in enumerate(hax.flat):\n", - " hax2.locator_params(nbins=5)\n", - " hax2.grid(True)\n", - " if i > 3:\n", - " hax2.set_xlabel('Time [$s$]')\n", - "\n", - "plt.subplots_adjust(hspace=0.15, wspace=0.25) #plt.tight_layout()\n", - "\n", - "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 4))\n", - "\n", - "ax1.plot(x, y, 'r', linewidth=3)\n", - "ax1.set_xlabel('Displacement in x [$m$]')\n", - "ax1.set_ylabel('Displacement in y [$m$]')\n", - "ax1.set_title('Endpoint space', fontsize=14)\n", - "ax1.axis('equal')\n", - "ax1.grid(True)\n", - "\n", - "ax2.plot(ang1*180/np.pi, ang2*180/np.pi, 'b', linewidth=3)\n", - "ax2.set_xlabel('Displacement in joint 1 [$^o$]')\n", - "ax2.set_ylabel('Displacement in joint 2 [$^o$]')\n", - "ax2.set_title('Joint sapace', fontsize=14)\n", - "ax2.axis('equal')\n", - "ax2.grid(True)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### Calculation of each type of acceleration of the endpoint for the numerical example of the two-link system" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:47.326816Z", - "start_time": "2020-11-03T13:04:47.278309Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "# tangential acceleration\n", - "A1, A2, A1d, A2d, A1dd, A2dd = symbols('A1 A2 A1d A2d A1dd A2dd')\n", - "dicti = {θ1:A1, θ2:A2, θ1.diff(t, 1):A1d, θ2.diff(t,1):A2d, \\\n", - " θ1.diff(t, 2):A1dd, θ2.diff(t, 2):A2dd, l1:L1, l2:L2}\n", - "tg2 = tg.subs(dicti)\n", - "tg2fu = lambdify((A1, A2, A1dd, A2dd), tg2, 'numpy');\n", - "tg2n = tg2fu(ang1, ang2, aang1, aang2)\n", - "tg2n = tg2n.reshape((2, 100)).T\n", - "# centripetal acceleration\n", - "ct2 = ct.subs(dicti)\n", - "ct2fu = lambdify((A1, A2, A1d, A2d), ct2, 'numpy');\n", - "ct2n = ct2fu(ang1, ang2, vang1, vang2)\n", - "ct2n = ct2n.reshape((2, 100)).T\n", - "# coriolis acceleration\n", - "co2 = co.subs(dicti)\n", - "co2fu = lambdify((A1, A2, A1d, A2d), co2, 'numpy');\n", - "co2n = co2fu(ang1, ang2, vang1, vang2)\n", - "co2n = co2n.reshape((2, 100)).T\n", - "# total acceleration (it has to be the same calculated before)\n", - "acc_tot = tg2n + ct2n + co2n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "### And the corresponding plots" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": { - "ExecuteTime": { - "end_time": "2020-11-03T13:04:47.543795Z", - "start_time": "2020-11-03T13:04:47.327699Z" - }, - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [ + }, { - "data": { - "image/png": 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\n", 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" + "cell_type": "code", + "execution_count": 34, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:59:25.057256Z", + "start_time": "2020-11-03T23:59:23.458044Z" + }, + "id": "_4nAPcvxwmSR" + }, + "outputs": [], + "source": [ + "t, p0, pf, d = symbols('t p0 pf d')\n", + "rx = dynamicsymbols('rx', real=True) # or Function('rx')(t)\n", + "ry = dynamicsymbols('ry', real=True) # or Function('ry')(t)\n", + "\n", + "# minimum jerk kinematics\n", + "mjt = p0 + (pf - p0)*(10*(t/d)**3 - 15*(t/d)**4 + 6*(t/d)**5)\n", + "rfu = lambdify((t, p0, pf, d), mjt, 'numpy')\n", + "vfu = lambdify((t, p0, pf, d), diff(mjt, t, 1), 'numpy')\n", + "afu = lambdify((t, p0, pf, d), diff(mjt, t, 2), 'numpy')\n", + "jfu = lambdify((t, p0, pf, d), diff(mjt, t, 3), 'numpy')\n", + "# values\n", + "d, L1, L2 = 1, .5, .5\n", + "#initial values:\n", + "p0, pf = [-0.5, 0.5], [0, .5*np.sqrt(2)]\n", + "ts = np.arange(0.01, 1.01, .01)\n", + "\n", + "# endpoint kinematics\n", + "x = rfu(ts, p0[0], pf[0], d)\n", + "y = rfu(ts, p0[1], pf[1], d)\n", + "vx = vfu(ts, p0[0], pf[0], d)\n", + "vy = vfu(ts, p0[1], pf[1], d)\n", + "ax = afu(ts, p0[0], pf[0], d)\n", + "ay = afu(ts, p0[1], pf[1], d)\n", + "jx = jfu(ts, p0[0], pf[0], d)\n", + "jy = jfu(ts, p0[1], pf[1], d)\n", + "\n", + "# inverse kinematics\n", + "ang2b = np.arccos((x**2 + y**2 - L1**2 - L2**2)/(2*L1*L2))\n", + "ang1b = np.arctan2(y, x) - (np.arctan2(L2*np.sin(ang2b), (L1+L2*np.cos(ang2b))))\n", + "\n", + "ang2 = acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2))\n", + "ang2fu = lambdify((rx ,ry, l1, l2), ang2, 'numpy');\n", + "ang2 = ang2fu(x, y, L1, L2)\n", + "ang1 = atan2(ry, rx) - (atan(l2*sin(acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2)))/ \\\n", + " (l1+l2*cos(acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2))))))\n", + "ang1fu = lambdify((rx, ry, l1, l2), ang1, 'numpy');\n", + "ang1 = ang1fu(x, y, L1, L2)\n", + "\n", + "ang2b = acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2))\n", + "ang1b = atan2(ry, rx) - (atan(l2*sin(acos((rx**2 + ry**2 - l1**2 - l2**2)/(2*l1*l2)))/ \\\n", + " (l1 + l2*cos(acos((rx**2 + ry**2-l1**2 - l2**2)/(2*l1*l2))))))\n", + "X, Y, Xd, Yd, Xdd, Ydd, Xddd, Yddd = symbols('X Y Xd Yd Xdd Ydd Xddd Yddd')\n", + "dicti = {rx:X, ry:Y, rx.diff(t, 1):Xd, ry.diff(t, 1):Yd, \\\n", + " rx.diff(t, 2):Xdd, ry.diff(t, 2):Ydd, rx.diff(t, 3):Xddd, ry.diff(t, 3):Yddd, l1:L1, l2:L2}\n", + "vang1 = diff(ang1b, t, 1)\n", + "vang1 = vang1.subs(dicti)\n", + "vang1fu = lambdify((X, Y, Xd, Yd, l1, l2), vang1, 'numpy')\n", + "vang1 = vang1fu(x, y, vx, vy, L1, L2)\n", + "vang2 = diff(ang2b, t, 1)\n", + "vang2 = vang2.subs(dicti)\n", + "vang2fu = lambdify((X, Y, Xd, Yd, l1, l2), vang2, 'numpy')\n", + "vang2 = vang2fu(x, y, vx, vy, L1, L2)\n", + "\n", + "aang1 = diff(ang1b, t, 2)\n", + "aang1 = aang1.subs(dicti)\n", + "aang1fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, l1, l2), aang1, 'numpy')\n", + "aang1 = aang1fu(x, y, vx, vy, ax, ay, L1, L2)\n", + "aang2 = diff(ang2b, t, 2)\n", + "aang2 = aang2.subs(dicti)\n", + "aang2fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, l1, l2), aang2, 'numpy')\n", + "aang2 = aang2fu(x, y, vx, vy, ax, ay, L1, L2)\n", + "\n", + "jang1 = diff(ang1b, t, 3)\n", + "jang1 = jang1.subs(dicti)\n", + "jang1fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, Xddd, Yddd, l1, l2), jang1, 'numpy')\n", + "jang1 = jang1fu(x, y, vx, vy, ax, ay, jx, jy, L1, L2)\n", + "jang2 = diff(ang2b, t, 3)\n", + "jang2 = jang2.subs(dicti)\n", + "jang2fu = lambdify((X, Y, Xd, Yd, Xdd, Ydd, Xddd, Yddd, l1, l2), jang2, 'numpy')\n", + "jang2 = jang2fu(x, y, vx, vy, ax, ay, jx, jy, L1, L2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EEys8BaAwmSR" + }, + "source": [ + "And the plots for the trajectories:" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T23:59:37.370357Z", + "start_time": "2020-11-03T23:59:36.511398Z" + }, + "id": "jZD-HoHXwmSR", + "outputId": "db5c63a7-0e93-4852-a969-5a328968c3f4", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "fig, hax = plt.subplots(2, 4, sharex = True, figsize=(14, 7))\n", + "\n", + "hax[0, 0].plot(ts, x, 'r', linewidth=3, label = 'x')\n", + "hax[0, 0].plot(ts, y, 'k', linewidth=3, label = 'y')\n", + "hax[0, 0].set_title('Linear displacement [$m$]')\n", + "hax[0, 0].legend(loc='best').get_frame().set_alpha(0.8)\n", + "hax[0, 0].set_ylabel('Endpoint')\n", + "\n", + "hax[0, 1].plot(ts, vx, 'r', linewidth=3)\n", + "hax[0, 1].plot(ts, vy, 'k', linewidth=3)\n", + "hax[0, 1].set_title('Linear velocity [$m/s$]')\n", + "\n", + "hax[0, 2].plot(ts, ax, 'r', linewidth=3)\n", + "hax[0, 2].plot(ts, ay, 'k', linewidth=3)\n", + "hax[0, 2].set_title('Linear acceleration [$m/s^2$]')\n", + "\n", + "hax[0, 3].plot(ts, jx, 'r', linewidth=3)\n", + "hax[0, 3].plot(ts, jy, 'k', linewidth=3)\n", + "hax[0, 3].set_title('Linear jerk [$m/s^3$]')\n", + "\n", + "hax[1, 0].plot(ts, ang1*180/np.pi, 'b', linewidth=3, label = 'Ang1')\n", + "hax[1, 0].plot(ts, ang2*180/np.pi, 'g', linewidth=3, label = 'Ang2')\n", + "hax[1, 0].set_title('Angular displacement [$^o$]')\n", + "hax[1, 0].legend(loc='best').get_frame().set_alpha(0.8)\n", + "hax[1, 0].set_ylabel('Joint')\n", + "\n", + "hax[1, 1].plot(ts, vang1*180/np.pi, 'b', linewidth=3)\n", + "hax[1, 1].plot(ts, vang2*180/np.pi, 'g', linewidth=3)\n", + "hax[1, 1].set_title('Angular velocity [$^o/s$]')\n", + "\n", + "hax[1, 2].plot(ts, aang1*180/np.pi, 'b', linewidth=3)\n", + "hax[1, 2].plot(ts, aang2*180/np.pi, 'g', linewidth=3)\n", + "hax[1, 2].set_title('Angular acceleration [$^o/s^2$]')\n", + "\n", + "hax[1, 3].plot(ts, jang1*180/np.pi, 'b', linewidth=3)\n", + "hax[1, 3].plot(ts, jang2*180/np.pi, 'g', linewidth=3)\n", + "hax[1, 3].set_title('Angular jerk [$^o/s^3$]')\n", + "\n", + "tit = fig.suptitle('Minimum jerk trajectory kinematics of a two-link chain', fontsize=20)\n", + "for i, hax2 in enumerate(hax.flat):\n", + " hax2.locator_params(nbins=5)\n", + " hax2.grid(True)\n", + " if i > 3:\n", + " hax2.set_xlabel('Time [$s$]')\n", + "\n", + "plt.subplots_adjust(hspace=0.15, wspace=0.25) #plt.tight_layout()\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 4))\n", + "\n", + "ax1.plot(x, y, 'r', linewidth=3)\n", + "ax1.set_xlabel('Displacement in x [$m$]')\n", + "ax1.set_ylabel('Displacement in y [$m$]')\n", + "ax1.set_title('Endpoint space', fontsize=14)\n", + "ax1.axis('equal')\n", + "ax1.grid(True)\n", + "\n", + "ax2.plot(ang1*180/np.pi, ang2*180/np.pi, 'b', linewidth=3)\n", + "ax2.set_xlabel('Displacement in joint 1 [$^o$]')\n", + "ax2.set_ylabel('Displacement in joint 2 [$^o$]')\n", + "ax2.set_title('Joint sapace', fontsize=14)\n", + "ax2.axis('equal')\n", + "ax2.grid(True)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "riSbufAdwmSR" + }, + "source": [ + "### Calculation of each type of acceleration of the endpoint for the numerical example of the two-link system" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:47.326816Z", + "start_time": "2020-11-03T13:04:47.278309Z" + }, + "id": "njKDOcpAwmSR" + }, + "outputs": [], + "source": [ + "# tangential acceleration\n", + "A1, A2, A1d, A2d, A1dd, A2dd = symbols('A1 A2 A1d A2d A1dd A2dd')\n", + "dicti = {θ1:A1, θ2:A2, θ1.diff(t, 1):A1d, θ2.diff(t,1):A2d, \\\n", + " θ1.diff(t, 2):A1dd, θ2.diff(t, 2):A2dd, l1:L1, l2:L2}\n", + "tg2 = tg.subs(dicti)\n", + "tg2fu = lambdify((A1, A2, A1dd, A2dd), tg2, 'numpy');\n", + "tg2n = tg2fu(ang1, ang2, aang1, aang2)\n", + "tg2n = tg2n.reshape((2, 100)).T\n", + "# centripetal acceleration\n", + "ct2 = ct.subs(dicti)\n", + "ct2fu = lambdify((A1, A2, A1d, A2d), ct2, 'numpy');\n", + "ct2n = ct2fu(ang1, ang2, vang1, vang2)\n", + "ct2n = ct2n.reshape((2, 100)).T\n", + "# coriolis acceleration\n", + "co2 = co.subs(dicti)\n", + "co2fu = lambdify((A1, A2, A1d, A2d), co2, 'numpy');\n", + "co2n = co2fu(ang1, ang2, vang1, vang2)\n", + "co2n = co2n.reshape((2, 100)).T\n", + "# total acceleration (it has to be the same calculated before)\n", + "acc_tot = tg2n + ct2n + co2n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zyo3jMHDwmSR" + }, + "source": [ + "### And the corresponding plots" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "ExecuteTime": { + "end_time": "2020-11-03T13:04:47.543795Z", + "start_time": "2020-11-03T13:04:47.327699Z" + }, + "id": "2VhreaPJwmSR", + "outputId": "4de8fc85-4bd1-437f-f4f1-e73ec82df51a", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 529 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "fig, hax = plt.subplots(1, 3, sharex = True, sharey = True, figsize=(12, 5))\n", + "hax[0].plot(ts, acc_tot[:, 0], color=(1, 0, 0, .3), linewidth=5, label = 'x total')\n", + "hax[0].plot(ts, acc_tot[:, 1], color=(0, 0, 0, .3), linewidth=5, label = 'y total')\n", + "hax[0].plot(ts, tg2n[:, 0], 'r', linewidth=2, label = 'x')\n", + "hax[0].plot(ts, tg2n[:, 1], 'k', linewidth=2, label = 'y')\n", + "hax[0].set_title('Tangential')\n", + "hax[0].set_ylabel('Endpoint acceleration [$m/s^2$]')\n", + "hax[0].set_xlabel('Time [$s$]')\n", + "hax[1].plot(ts, acc_tot[:, 0], color=(1,0,0,.3), linewidth=5, label = 'x total')\n", + "hax[1].plot(ts, acc_tot[:, 1], color=(0,0,0,.3), linewidth=5, label = 'y total')\n", + "hax[1].plot(ts, ct2n[:, 0], 'r', linewidth=2, label = 'x')\n", + "hax[1].plot(ts, ct2n[:, 1], 'k', linewidth=2, label = 'y')\n", + "hax[1].set_title('Centripetal')\n", + "hax[1].set_xlabel('Time [$s$]')\n", + "hax[1].legend(loc='best').get_frame().set_alpha(0.8)\n", + "hax[2].plot(ts, acc_tot[:, 0], color=(1,0,0,.3), linewidth=5, label = 'x total')\n", + "hax[2].plot(ts, acc_tot[:, 1], color=(0,0,0,.3), linewidth=5, label = 'y total')\n", + "hax[2].plot(ts, co2n[:, 0], 'r', linewidth=2, label = 'x')\n", + "hax[2].plot(ts, co2n[:, 1], 'k', linewidth=2, label = 'y')\n", + "hax[2].set_title('Coriolis')\n", + "hax[2].set_xlabel('Time [$s$]')\n", + "tit = fig.suptitle('Acceleration terms for the minimum jerk trajectory of a two-link chain',\n", + " fontsize=16)\n", + "for hax2 in hax:\n", + " hax2.locator_params(nbins=5)\n", + " hax2.grid(True)\n", + "# plt.subplots_adjust(hspace=0.15, wspace=0.25) #plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "9TWhGlU1wmSR" + }, + "source": [ + "## Further reading\n", + "\n", + " - Read pages 477-494 of the 10th chapter of the [Ruina and Rudra's book](http://ruina.tam.cornell.edu/Book/index.html) for a review of differential equations and kinematics. \n", + " - Read section 2.8 of Rade's book about using the concept of rotation matrix applied to kinematic chains. \n", + " - Read [Computational Motor Control: Kinematics](https://gribblelab.org/teaching/compneuro2012/4_Computational_Motor_Control_Kinematics.html) about the concept of kinematic chain for modeling the human upper limb. \n", + " - For more about the Jacobian matrix, read [Jacobian matrix and determinant](https://www.algebrapracticeproblems.com/jacobian-matrix-determinant/). " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Mrm0RTJywmSS" + }, + "source": [ + "## Video lectures on the Internet\n", + "\n", + " - Khan Academy: [Differential Calculus Review](https://khanacademy.org/math/differential-calculus)\n", + " - Khan Academy: [Chain Rule Review](https://khanacademy.org/math/differential-calculus/dc-chain)\n", + " - [Multivariate Calculus – Jacobian applied](https://www.youtube.com/watch?v=57q-2YxIZss) \n", + " - [Kinematics of the Two Link Arm](https://youtu.be/3WAk8ABj-kg) " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lDgiP_1NwmSS" + }, + "source": [ + "## Problems\n", + "\n", + "1. Calculate the Jacobian matrix for the following function: \n", + "\n", + "$$\n", + "f(x, y) = \\begin{bmatrix}\n", + "x^2 y \\\\\n", + "5 x + \\sin y \\end{bmatrix}\n", + "$$\n", + " \n", + "\n", + "2. For the two-link chain, calculate and interpret the Jacobian and the expressions for the position, velocity, and acceleration of the endpoint for the following cases: \n", + " a) When the first joint (the joint at the base) is fixed at $0^o$. \n", + " b) When the second joint is fixed at $0^o$. \n", + "\n", + "3. Deduce the equations for the kinematics of a two-link pendulum with the angles in relation to the vertical. \n", + "\n", + "4. Deduce the equations for the kinematics of a two-link system using segment angles and compare with the deduction employing joint angles. \n", + "\n", + "5. For the two-link chain, a special case of movement occurs when the endpoint moves along a line passing through the first joint (the joint at the base). A system with this behavior is known as a polar manipulator (Mussa-Ivaldi, 1986). For simplicity, consider that the lengths of the two links are equal to $\\ell$. In this case, the two joint angles are related by: $2\\theta_1+\\theta_2=\\pi$. \n", + " a) Calculate the Jacobian for this polar manipulator and compare it with the Jacobian for the standard two-link chain. Note the difference between the off-diagonal terms. \n", + " b) Calculate the expressions for the endpoint position, velocity, and acceleration. \n", + " c) For the endpoint acceleration of the polar manipulator, identify the tangential, centrifugal, and Coriolis components and compare them with the expressions for the standard two-link chain. \n", + "\n", + "6. [Ex. 2.22, Rade's book] In an internal combustion engine, crank $AB$, shown in figure below, has a constant rotation of 1000 rpm, counterclockwise. For position $\\theta=30^o$, determine: a) the angular velocity of connecting rod $BD$; b) the speed of piston $P$. Solution: a) $\\omega_{BD}=-44.88$ rad/s. b) $v_P=-8.976$ m/s.
\n", + "
\n", + "
\n", + "\n", + "7. [Ex. 2.30, Rade's book] The robot shown in the figure below has a plane motion, with velocity $\\overrightarrow{v}_0$ and acceleration $\\overrightarrow{a}_0$ in relation to the floor. Arm $O_1O_2$ rotates with angular velocity $\\omega_1=\\dot{\\theta}_1$ and angular acceleration $\\alpha_1=\\ddot{\\theta}_1$ relative to the robot's body, and arm $O_2P$ rotates with angular velocity $\\omega_2=\\dot{\\theta}_2$ and angular acceleration $\\alpha_2=\\ddot{\\theta}_2$ relative to the arm $O_1O_2$, with the directions indicated. Designating by $\\ell_1$ the length of the arm $O_1O_2$ and by $\\ell_2$ the length of the arm $O_2P$, obtain the expressions for the velocity $\\overrightarrow{v}_P$ and the acceleration $\\overrightarrow{a}_P$ of the endpoint $P$, with respect to the floor, as function of the indicated parameters.\n", + "
\n", + "
\n", + "
\n", + "Solution for $\\overrightarrow{v}$: \n", + "\n", + "$$\n", + "\\overrightarrow{v}_{P, OXY} = \\begin{bmatrix}\n", + "v_0+\\dot{\\theta}_1\\ell_1\\cos(\\theta_1)+(\\dot{\\theta}_1+\\dot{\\theta}_2)\\ell_2\\cos(\\theta_1+\\theta_2) \\\\\n", + "\\dot{\\theta}_1\\ell_1\\sin(\\theta_1)+(\\dot{\\theta}_1+\\dot{\\theta}_2)\\ell_2\\sin(\\theta_1+\\theta_2) \\end{bmatrix}\n", + "$$\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "tUFSXlfwwmSS" + }, + "source": [ + "## References\n", + "\n", + "- Mussa-Ivaldi FA (1986) Compliance. In: Morasso P Tagliasco V (eds), [Human Movement Understanding: from computational geometry to artificial Intelligence](http://books.google.com.br/books?id=ZlZyLKNoAtEC). North-Holland, Amsterdam. \n", + "- Rade D (2017) [Cinemática e Dinâmica para Engenharia](https://www.grupogen.com.br/e-book-cinematica-e-dinamica-para-engenharia). Grupo GEN. \n", + "- Ruina A, Rudra P (2019) [Introduction to Statics and Dynamics](http://ruina.tam.cornell.edu/Book/index.html). Oxford University Press. \n", + "- Siciliano B et al. (2009) [Robotics - Modelling, Planning and Control](http://books.google.com.br/books/about/Robotics.html?hl=pt-BR&id=jPCAFmE-logC). Springer-Verlag London.\n", + "- Zatsiorsky VM (1998) [Kinematics of Human Motions](http://books.google.com.br/books/about/Kinematics_of_Human_Motion.html?id=Pql_xXdbrMcC&redir_esc=y). Champaign, Human Kinetics." ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, hax = plt.subplots(1, 3, sharex = True, sharey = True, figsize=(12, 5))\n", - "hax[0].plot(ts, acc_tot[:, 0], color=(1, 0, 0, .3), linewidth=5, label = 'x total')\n", - "hax[0].plot(ts, acc_tot[:, 1], color=(0, 0, 0, .3), linewidth=5, label = 'y total')\n", - "hax[0].plot(ts, tg2n[:, 0], 'r', linewidth=2, label = 'x')\n", - "hax[0].plot(ts, tg2n[:, 1], 'k', linewidth=2, label = 'y')\n", - "hax[0].set_title('Tangential')\n", - "hax[0].set_ylabel('Endpoint acceleration [$m/s^2$]')\n", - "hax[0].set_xlabel('Time [$s$]')\n", - "hax[1].plot(ts, acc_tot[:, 0], color=(1,0,0,.3), linewidth=5, label = 'x total')\n", - "hax[1].plot(ts, acc_tot[:, 1], color=(0,0,0,.3), linewidth=5, label = 'y total')\n", - "hax[1].plot(ts, ct2n[:, 0], 'r', linewidth=2, label = 'x')\n", - "hax[1].plot(ts, ct2n[:, 1], 'k', linewidth=2, label = 'y')\n", - "hax[1].set_title('Centripetal')\n", - "hax[1].set_xlabel('Time [$s$]')\n", - "hax[1].legend(loc='best').get_frame().set_alpha(0.8)\n", - "hax[2].plot(ts, acc_tot[:, 0], color=(1,0,0,.3), linewidth=5, label = 'x total')\n", - "hax[2].plot(ts, acc_tot[:, 1], color=(0,0,0,.3), linewidth=5, label = 'y total')\n", - "hax[2].plot(ts, co2n[:, 0], 'r', linewidth=2, label = 'x')\n", - "hax[2].plot(ts, co2n[:, 1], 'k', linewidth=2, label = 'y')\n", - "hax[2].set_title('Coriolis')\n", - "hax[2].set_xlabel('Time [$s$]')\n", - "tit = fig.suptitle('Acceleration terms for the minimum jerk trajectory of a two-link chain',\n", - " fontsize=16)\n", - "for hax2 in hax:\n", - " hax2.locator_params(nbins=5)\n", - " hax2.grid(True)\n", - "# plt.subplots_adjust(hspace=0.15, wspace=0.25) #plt.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Further reading\n", - "\n", - " - Read pages 477-494 of the 10th chapter of the [Ruina and Rudra's book](http://ruina.tam.cornell.edu/Book/index.html) for a review of differential equations and kinematics. \n", - " - Read section 2.8 of Rade's book about using the concept of rotation matrix applied to kinematic chains. \n", - " - Read [Computational Motor Control: Kinematics](https://gribblelab.org/teaching/compneuro2012/4_Computational_Motor_Control_Kinematics.html) about the concept of kinematic chain for modeling the human upper limb. \n", - " - For more about the Jacobian matrix, read [Jacobian matrix and determinant](https://www.algebrapracticeproblems.com/jacobian-matrix-determinant/). " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Video lectures on the Internet\n", - "\n", - " - Khan Academy: [Differential Calculus Review](https://khanacademy.org/math/differential-calculus)\n", - " - Khan Academy: [Chain Rule Review](https://khanacademy.org/math/differential-calculus/dc-chain)\n", - " - [Multivariate Calculus – Jacobian applied](https://www.youtube.com/watch?v=57q-2YxIZss) \n", - " - [Kinematics of the Two Link Arm](https://youtu.be/3WAk8ABj-kg) " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" } - }, - "source": [ - "## Problems\n", - "\n", - "1. Calculate the Jacobian matrix for the following function: \n", - "\n", - "$$\n", - "f(x, y) = \\begin{bmatrix}\n", - "x^2 y \\\\\n", - "5 x + \\sin y \\end{bmatrix}\n", - "$$\n", - " \n", - "\n", - "2. For the two-link chain, calculate and interpret the Jacobian and the expressions for the position, velocity, and acceleration of the endpoint for the following cases: \n", - " a) When the first joint (the joint at the base) is fixed at $0^o$. \n", - " b) When the second joint is fixed at $0^o$. \n", - " \n", - "3. Deduce the equations for the kinematics of a two-link pendulum with the angles in relation to the vertical. \n", - "\n", - "4. Deduce the equations for the kinematics of a two-link system using segment angles and compare with the deduction employing joint angles. \n", - "\n", - "5. For the two-link chain, a special case of movement occurs when the endpoint moves along a line passing through the first joint (the joint at the base). A system with this behavior is known as a polar manipulator (Mussa-Ivaldi, 1986). For simplicity, consider that the lengths of the two links are equal to $\\ell$. In this case, the two joint angles are related by: $2\\theta_1+\\theta_2=\\pi$. \n", - " a) Calculate the Jacobian for this polar manipulator and compare it with the Jacobian for the standard two-link chain. Note the difference between the off-diagonal terms. \n", - " b) Calculate the expressions for the endpoint position, velocity, and acceleration. \n", - " c) For the endpoint acceleration of the polar manipulator, identify the tangential, centrifugal, and Coriolis components and compare them with the expressions for the standard two-link chain. \n", - "\n", - "6. [Ex. 2.22, Rade's book] In an internal combustion engine, crank $AB$, shown in figure below, has a constant rotation of 1000 rpm, counterclockwise. For position $\\theta=30^o$, determine: a) the angular velocity of connecting rod $BD$; b) the speed of piston $P$. Solution: a) $\\omega_{BD}=-44.88$ rad/s. b) $v_P=-8.976$ m/s.
\n", - "
\n", - "
\n", - "\n", - "7. [Ex. 2.30, Rade's book] The robot shown in the figure below has a plane motion, with velocity $\\overrightarrow{v}_0$ and acceleration $\\overrightarrow{a}_0$ in relation to the floor. Arm $O_1O_2$ rotates with angular velocity $\\omega_1=\\dot{\\theta}_1$ and angular acceleration $\\alpha_1=\\ddot{\\theta}_1$ relative to the robot's body, and arm $O_2P$ rotates with angular velocity $\\omega_2=\\dot{\\theta}_2$ and angular acceleration $\\alpha_2=\\ddot{\\theta}_2$ relative to the arm $O_1O_2$, with the directions indicated. Designating by $\\ell_1$ the length of the arm $O_1O_2$ and by $\\ell_2$ the length of the arm $O_2P$, obtain the expressions for the velocity $\\overrightarrow{v}_P$ and the acceleration $\\overrightarrow{a}_P$ of the endpoint $P$, with respect to the floor, as function of the indicated parameters.\n", - "
\n", - "
\n", - "
\n", - "Solution for $\\overrightarrow{v}$: \n", - "\n", - "$$\n", - "\\overrightarrow{v}_{P, OXY} = \\begin{bmatrix}\n", - "v_0+\\dot{\\theta}_1\\ell_1\\cos(\\theta_1)+(\\dot{\\theta}_1+\\dot{\\theta}_2)\\ell_2\\cos(\\theta_1+\\theta_2) \\\\\n", - "\\dot{\\theta}_1\\ell_1\\sin(\\theta_1)+(\\dot{\\theta}_1+\\dot{\\theta}_2)\\ell_2\\sin(\\theta_1+\\theta_2) \\end{bmatrix}\n", - "$$\n", - "" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" + ], + "metadata": { + "hide_input": false, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autoclose": false, + "autocomplete": true, + "bibliofile": "biblio.bib", + "cite_by": "apalike", + "current_citInitial": 1, + "eqLabelWithNumbers": true, + "eqNumInitial": 1, + "hotkeys": { + "equation": "Ctrl-E", + "itemize": "Ctrl-I" + }, + "labels_anchors": false, + "latex_user_defs": false, + "report_style_numbering": false, + "user_envs_cfg": false + }, + "nbTranslate": { + "displayLangs": [ + "*" + ], + "hotkey": "alt-t", + "langInMainMenu": true, + "sourceLang": "en", + "targetLang": "pt", + "useGoogleTranslate": true + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": true, + "title_cell": "Contents", + "title_sidebar": "Contents", + "toc_cell": true, + "toc_position": { + "height": "calc(100% - 180px)", + "left": "10px", + "top": "150px", + "width": "349.091px" + }, + "toc_section_display": true, + "toc_window_display": false + }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": false + }, + "colab": { + "provenance": [], + "include_colab_link": true } - }, - "source": [ - "## References\n", - "\n", - "- Mussa-Ivaldi FA (1986) Compliance. In: Morasso P Tagliasco V (eds), [Human Movement Understanding: from computational geometry to artificial Intelligence](http://books.google.com.br/books?id=ZlZyLKNoAtEC). North-Holland, Amsterdam. \n", - "- Rade D (2017) [Cinemática e Dinâmica para Engenharia](https://www.grupogen.com.br/e-book-cinematica-e-dinamica-para-engenharia). Grupo GEN. \n", - "- Ruina A, Rudra P (2019) [Introduction to Statics and Dynamics](http://ruina.tam.cornell.edu/Book/index.html). Oxford University Press. \n", - "- Siciliano B et al. (2009) [Robotics - Modelling, Planning and Control](http://books.google.com.br/books/about/Robotics.html?hl=pt-BR&id=jPCAFmE-logC). Springer-Verlag London.\n", - "- Zatsiorsky VM (1998) [Kinematics of Human Motions](http://books.google.com.br/books/about/Kinematics_of_Human_Motion.html?id=Pql_xXdbrMcC&redir_esc=y). Champaign, Human Kinetics." - ] - } - ], - "metadata": { - "hide_input": false, - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.13" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false }, - "nbTranslate": { - "displayLangs": [ - "*" - ], - "hotkey": "alt-t", - "langInMainMenu": true, - "sourceLang": "en", - "targetLang": "pt", - "useGoogleTranslate": true - }, - "toc": { - "base_numbering": 1, - "nav_menu": {}, - "number_sections": true, - "sideBar": true, - "skip_h1_title": true, - "title_cell": "Contents", - "title_sidebar": "Contents", - "toc_cell": true, - "toc_position": { - "height": "calc(100% - 180px)", - "left": "10px", - "top": "150px", - "width": "349.091px" - }, - "toc_section_display": true, - "toc_window_display": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file