-
Notifications
You must be signed in to change notification settings - Fork 1
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
- Loading branch information
1 parent
c20120d
commit 7d82ae3
Showing
5 changed files
with
220 additions
and
54 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1 @@ | ||
| <?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" ><generator uri="https://jekyllrb.com/" version="4.3.4">Jekyll</generator><link href="http://flow.byu.edu/feed.xml" rel="self" type="application/atom+xml" /><link href="http://flow.byu.edu/" rel="alternate" type="text/html" /><updated>2024-10-17T17:41:10-06:00</updated><id>http://flow.byu.edu/feed.xml</id><title type="html">FLOW Lab</title><subtitle>Flight, Optimization, and Wind Laboratory</subtitle><author><name>Andrew Ning</name></author><entry><title type="html">Optimization Book Available</title><link href="http://flow.byu.edu/posts/opt-book" rel="alternate" type="text/html" title="Optimization Book Available" /><published>2021-10-15T00:00:00-06:00</published><updated>2021-10-15T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/opt-book</id><content type="html" xml:base="http://flow.byu.edu/posts/opt-book"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6853387400052391936" height="698" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">BEM Paper</title><link href="http://flow.byu.edu/posts/bem-paper" rel="alternate" type="text/html" title="BEM Paper" /><published>2021-07-30T00:00:00-06:00</published><updated>2021-07-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/bem-paper</id><content type="html" xml:base="http://flow.byu.edu/posts/bem-paper"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6825450879324434432" height="622" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Eduardo Research Update</title><link href="http://flow.byu.edu/posts/eduardo-latest" rel="alternate" type="text/html" title="Eduardo Research Update" /><published>2021-03-01T00:00:00-07:00</published><updated>2021-03-01T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/eduardo-latest</id><content type="html" xml:base="http://flow.byu.edu/posts/eduardo-latest"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6779795433318420480" height="1142" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Reformulated VPM</title><link href="http://flow.byu.edu/posts/reformulated-vpm" rel="alternate" type="text/html" title="Reformulated VPM" /><published>2021-02-01T00:00:00-07:00</published><updated>2021-02-01T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/reformulated-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/reformulated-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6767685749157588992" height="990" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Optimization Book Announcement</title><link href="http://flow.byu.edu/posts/optimization-book" rel="alternate" type="text/html" title="Optimization Book Announcement" /><published>2021-01-20T00:00:00-07:00</published><updated>2021-01-20T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/optimization-book</id><content type="html" xml:base="http://flow.byu.edu/posts/optimization-book"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6758135437300154368" height="679" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">PJ Defense</title><link href="http://flow.byu.edu/posts/pj-defense" rel="alternate" type="text/html" title="PJ Defense" /><published>2020-09-30T00:00:00-06:00</published><updated>2020-09-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/pj-defense</id><content type="html" xml:base="http://flow.byu.edu/posts/pj-defense"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6714312529692237824" height="641" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">VPM Paper</title><link href="http://flow.byu.edu/posts/vpm-paper" rel="alternate" type="text/html" title="VPM Paper" /><published>2020-08-30T00:00:00-06:00</published><updated>2020-08-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/vpm-paper</id><content type="html" xml:base="http://flow.byu.edu/posts/vpm-paper"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6711406263634419712" height="857" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Airborne Wind with Vortex Particle Method</title><link href="http://flow.byu.edu/posts/wind-harvesting" rel="alternate" type="text/html" title="Airborne Wind with Vortex Particle Method" /><published>2020-08-16T00:00:00-06:00</published><updated>2020-08-16T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/wind-harvesting</id><content type="html" xml:base="http://flow.byu.edu/posts/wind-harvesting"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6694076731474739200" height="949" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Judd Mehr and Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Eduardo’s Past Three Years</title><link href="http://flow.byu.edu/posts/eduardo-three-years" rel="alternate" type="text/html" title="Eduardo’s Past Three Years" /><published>2020-08-10T00:00:00-06:00</published><updated>2020-08-10T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/eduardo-three-years</id><content type="html" xml:base="http://flow.byu.edu/posts/eduardo-three-years"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6689985497042944000" height="797" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">FLOWUnsteady in Google Drive</title><link href="http://flow.byu.edu/posts/google-drive-vpm" rel="alternate" type="text/html" title="FLOWUnsteady in Google Drive" /><published>2020-08-02T00:00:00-06:00</published><updated>2020-08-02T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/google-drive-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/google-drive-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6689003185174118400" height="1094" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry></feed> | ||
| <?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" ><generator uri="https://jekyllrb.com/" version="4.3.4">Jekyll</generator><link href="http://flow.byu.edu/feed.xml" rel="self" type="application/atom+xml" /><link href="http://flow.byu.edu/" rel="alternate" type="text/html" /><updated>2024-10-23T20:56:02-06:00</updated><id>http://flow.byu.edu/feed.xml</id><title type="html">FLOW Lab</title><subtitle>Flight, Optimization, and Wind Laboratory</subtitle><author><name>Andrew Ning</name></author><entry><title type="html">Optimization Book Available</title><link href="http://flow.byu.edu/posts/opt-book" rel="alternate" type="text/html" title="Optimization Book Available" /><published>2021-10-15T00:00:00-06:00</published><updated>2021-10-15T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/opt-book</id><content type="html" xml:base="http://flow.byu.edu/posts/opt-book"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6853387400052391936" height="698" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">BEM Paper</title><link href="http://flow.byu.edu/posts/bem-paper" rel="alternate" type="text/html" title="BEM Paper" /><published>2021-07-30T00:00:00-06:00</published><updated>2021-07-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/bem-paper</id><content type="html" xml:base="http://flow.byu.edu/posts/bem-paper"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6825450879324434432" height="622" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Eduardo Research Update</title><link href="http://flow.byu.edu/posts/eduardo-latest" rel="alternate" type="text/html" title="Eduardo Research Update" /><published>2021-03-01T00:00:00-07:00</published><updated>2021-03-01T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/eduardo-latest</id><content type="html" xml:base="http://flow.byu.edu/posts/eduardo-latest"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6779795433318420480" height="1142" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Reformulated VPM</title><link href="http://flow.byu.edu/posts/reformulated-vpm" rel="alternate" type="text/html" title="Reformulated VPM" /><published>2021-02-01T00:00:00-07:00</published><updated>2021-02-01T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/reformulated-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/reformulated-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6767685749157588992" height="990" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Optimization Book Announcement</title><link href="http://flow.byu.edu/posts/optimization-book" rel="alternate" type="text/html" title="Optimization Book Announcement" /><published>2021-01-20T00:00:00-07:00</published><updated>2021-01-20T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/optimization-book</id><content type="html" xml:base="http://flow.byu.edu/posts/optimization-book"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6758135437300154368" height="679" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">PJ Defense</title><link href="http://flow.byu.edu/posts/pj-defense" rel="alternate" type="text/html" title="PJ Defense" /><published>2020-09-30T00:00:00-06:00</published><updated>2020-09-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/pj-defense</id><content type="html" xml:base="http://flow.byu.edu/posts/pj-defense"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6714312529692237824" height="641" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">VPM Paper</title><link href="http://flow.byu.edu/posts/vpm-paper" rel="alternate" type="text/html" title="VPM Paper" /><published>2020-08-30T00:00:00-06:00</published><updated>2020-08-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/vpm-paper</id><content type="html" xml:base="http://flow.byu.edu/posts/vpm-paper"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6711406263634419712" height="857" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Airborne Wind with Vortex Particle Method</title><link href="http://flow.byu.edu/posts/wind-harvesting" rel="alternate" type="text/html" title="Airborne Wind with Vortex Particle Method" /><published>2020-08-16T00:00:00-06:00</published><updated>2020-08-16T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/wind-harvesting</id><content type="html" xml:base="http://flow.byu.edu/posts/wind-harvesting"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6694076731474739200" height="949" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Judd Mehr and Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Eduardo’s Past Three Years</title><link href="http://flow.byu.edu/posts/eduardo-three-years" rel="alternate" type="text/html" title="Eduardo’s Past Three Years" /><published>2020-08-10T00:00:00-06:00</published><updated>2020-08-10T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/eduardo-three-years</id><content type="html" xml:base="http://flow.byu.edu/posts/eduardo-three-years"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6689985497042944000" height="797" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">FLOWUnsteady in Google Drive</title><link href="http://flow.byu.edu/posts/google-drive-vpm" rel="alternate" type="text/html" title="FLOWUnsteady in Google Drive" /><published>2020-08-02T00:00:00-06:00</published><updated>2020-08-02T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/google-drive-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/google-drive-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6689003185174118400" height="1094" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry></feed> |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,125 @@ | ||
| <!DOCTYPE html> | ||
| <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en-us"> | ||
|
|
||
| <head> | ||
| <link href="https://gmpg.org/xfn/11" rel="profile"> | ||
| <meta http-equiv="X-UA-Compatible" content="IE=edge"> | ||
| <meta http-equiv="content-type" content="text/html; charset=utf-8"> | ||
|
|
||
| <!-- Enable responsiveness on mobile devices--> | ||
| <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1"> | ||
|
|
||
| <title> | ||
|
|
||
| HW · ME 275 | ||
|
|
||
| </title> | ||
|
|
||
| <!-- CSS --> | ||
| <link rel="stylesheet" href="/public/css/poole.css"> | ||
| <link rel="stylesheet" href="/public/css/syntax.css"> | ||
| <link rel="stylesheet" href="/public/css/hyde.css"> | ||
| <link rel="stylesheet" href="/public/css/my.css"> | ||
| <link rel="stylesheet" href="/public/css/academicons.css"> | ||
| <link rel="stylesheet" type="text/css" media="screen" href="/public/css/toc.css"> | ||
| <link href="//maxcdn.bootstrapcdn.com/font-awesome/4.2.0/css/font-awesome.min.css" rel="stylesheet"> | ||
|
|
||
| <!-- Icons --> | ||
| <!-- <link rel="apple-touch-icon-precomposed" sizes="144x144" href="/public/apple-touch-icon-144-precomposed.png"> --> | ||
| <link rel="shortcut icon" href="/public/favicon.ico"> | ||
| <link rel="apple-touch-icon-precomposed" sizes="57x57" href="/public/apple-touch-icon-57x57.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="114x114" href="/public/apple-touch-icon-114x114.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="72x72" href="/public/apple-touch-icon-72x72.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="144x144" href="/public/apple-touch-icon-144x144.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="60x60" href="/public/apple-touch-icon-60x60.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="120x120" href="/public/apple-touch-icon-120x120.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="76x76" href="/public/apple-touch-icon-76x76.png" /> | ||
| <link rel="apple-touch-icon-precomposed" sizes="152x152" href="/public/apple-touch-icon-152x152.png" /> | ||
|
|
||
| <!-- RSS --> | ||
| <link rel="alternate" type="application/rss+xml" title="RSS" href="/atom.xml"> | ||
|
|
||
| <!-- script --> | ||
| <script type="text/javascript"> // used to hide/show BibTeX blocks | ||
| <!-- | ||
| function toggle_visibility(id) { | ||
| var e = document.getElementById(id); | ||
| if(e.style.display == 'block') | ||
| e.style.display = 'none'; | ||
| else | ||
| e.style.display = 'block'; | ||
| } | ||
| //--> | ||
| </script> | ||
|
|
||
| <!-- mathjax --> | ||
| <script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"> | ||
| </script> | ||
|
|
||
|
|
||
| </head> | ||
|
|
||
|
|
||
| <body class="theme-base-08 layout-top"> | ||
|
|
||
| <div class="sidebar"> | ||
| <div class="container"> | ||
| <div class="sidebar-about"> | ||
| <h1> | ||
| <a href="/me275"> | ||
| ME 275 | ||
| </a> | ||
| </h1> | ||
| <p class="lead">Computational Methods</p> | ||
| </div> | ||
|
|
||
| <nav class="sidebar-nav"> | ||
|
|
||
| <a class="sidebar-nav-item" href="/me275/syllabus">Syllabus</a> | ||
| <a class="sidebar-nav-item" href="/me275/schedule">Schedule</a> | ||
| <a class="sidebar-nav-item" href="/me275/resources">Resources</a> | ||
|
|
||
| </nav> | ||
|
|
||
| <p>© 2024. All rights reserved.</p> | ||
| </div> | ||
| </div> | ||
|
|
||
|
|
||
| <div class="content container"> | ||
| <!-- <h1 class="page-title">HW</h1> --> | ||
| <h1 id="hw-7">HW 7</h1> | ||
|
|
||
| <p>due 10/31/2024 before midnight via Learning Suite | ||
| <span style="float:right;">25 possible points</span></p> | ||
|
|
||
| <hr /> | ||
|
|
||
| <p>These first two problems come from x.</p> | ||
|
|
||
| <ol> | ||
| <li> | ||
| <p>A mass-spring-damper is a common mechanical system model, for example: vehicle suspension, a bridge, human body, aircraft landing gear, etc. In class, we considered a case with gravity (e.g., bungee jumper), but we now consider the simpler case without gravity (e.g., horizontal). Newton’s second law results in:</p> | ||
|
|
||
| \[m\frac{dx^2}{dt^2} + b \frac{dx}{dt} + k x = 0\] | ||
|
|
||
| <p>where \(m\) is the mass, \(b\) is the damping coefficient, and $k\(is the spring constant. Let\)m = 20, k = 20\(and for\)b\(we will try three values: 5, 40, 200. Assume an initial displacement of 1 and an initial velocity of 0. Using a standard ODE solver, plot the results from\)t = 0$$ to 15, with all three cases on the same plot.</p> | ||
| </li> | ||
| <li> | ||
| <p>A simple model of an epidemic is:</p> | ||
|
|
||
| <p>\(\begin{align} | ||
| \frac{dS}{dt} &= - i S I\\ | ||
| \frac{dI}{dt} &= i S I - r I\\ | ||
| \frac{dR}{dt} &= r I\\ | ||
| \end{align}\) | ||
| where \(S\) = susceptible individuals, \(I\) = infected individuals, \(R\) = recovered individuals, \(i\) = infection rate, \(r\) = recovery rate. A city has 10,000 people all of whom are susceptible.</p> | ||
|
|
||
| <p>(a) If a single infectious individual enters the city at t = 0, compute the progression of the epidemic until the number of infected individuals falls below 10. Use the following parameters: \(i\) = 0.0002 and \(r\) = 0.15. Plot S, I and R as a function of time, all on the same plot.</p> | ||
| </li> | ||
| </ol> | ||
|
|
||
| </div> | ||
|
|
||
| </body> | ||
| </html> |
Oops, something went wrong.