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demo_5.py
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import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
from matplotlib.widgets import Slider, Button
interval = 50 # ms, time between animation frames
fig, ax = plt.subplots(figsize=(6,6))
plt.subplots_adjust(left=0.15, bottom=0.35)
ax.set_aspect('equal')
plt.xlim(-1.4*40,1.4*40)
plt.ylim(-1.4*40,1.4*40)
#plt.grid()
t = np.linspace(0, 2*np.pi, 2000)
delta = 1
## draw pin
num_pins = 61
pins = [ax.plot([], [], 'g-')[0] for n in range(num_pins)]
ddot, = ax.plot([0],[0], 'go', ms=5)
def draw_pin_init():
for p in pins:
p.set_data([0], [0])
def pin_update(e,n,d,D, phis):
for i in range(int(n)):
xd = (d/2*np.cos(t)+ D/2*np.cos(2*i*np.pi/n))
yd = (d/2*np.sin(t)+ D/2*np.sin(2*i*np.pi/n))
x = xd*np.cos(-phis/(n)) - yd*np.sin(-phis/(n)) + e*np.cos(phis)
y = xd*np.sin(-phis/(n)) + yd*np.cos(-phis/(n)) + e*np.sin(phis)
pins[i].set_data(x,y)
xd1 = (d/2*np.cos(phis)+ D/2)
yd1 = (d/2*np.sin(phis) )
x1 = xd1*np.cos(-phis/(n)) - yd1*np.sin(-phis/(n)) + e*np.cos(phis)
y1 = xd1*np.sin(-phis/(n)) + yd1*np.cos(-phis/(n)) + e*np.sin(phis)
ddot.set_data(x1, y1)
## draw drive_pin
num_drive_pins = 61
drive_pins = [ax.plot([], [], 'k-')[0] for n in range(num_drive_pins)]
def drive_pin_init():
for p in drive_pins:
p.set_data([0], [0])
def drive_pin_update(r,n,D,phis):
for i in range(int(n)):
xd = r*np.sin(t) + D/2*np.cos(2*i*np.pi/n)
yd = r*np.cos(t) + D/2*np.sin(2*i*np.pi/n)
x = xd*np.cos(-phis/(n)) - yd*np.sin(-phis/(n))
y = xd*np.sin(-phis/(n)) + yd*np.cos(-phis/(n))
drive_pins[i].set_data(x,y)
## draw circle
m1, = ax.plot([0], [0],'r-')
inner_pin, = ax.plot([0], [0],'k-')
dot, = ax.plot([0],[0], 'ko', ms=5)
def draw_circle(e,r,phis):
x0 = r*np.sin(t) + 2*e*np.cos(phis)
y0 = r*np.cos(t) + 2*e*np.sin(phis)
m1.set_data(x0,y0)
x = (r-2*e)*np.cos(t)
y = (r-2*e)*np.sin(t)
inner_pin.set_data(x,y)
x1 = (r-2*e)*np.cos(phis)
y1 = (r-2*e)*np.sin(phis)
dot.set_data(x1, y1)
##ehypocycloidA:
ehypocycloid, = ax.plot([0],[0],'r-')
edot, = ax.plot([0],[0], 'ro', ms=5)
def update_ehypocycloidA(e,n,D,d, phis):
RD=D/2
rd=d/2
rc = (n-1)*(RD/n)
rm = (RD/n)
xa = (rc+rm)*np.cos(t)-e*np.cos((rc+rm)/rm*t)
ya = (rc+rm)*np.sin(t)-e*np.sin((rc+rm)/rm*t)
dxa = (rc+rm)*(-np.sin(t)+(e/rm)*np.sin((rc+rm)/rm*t))
dya = (rc+rm)*(np.cos(t)-(e/rm)*np.cos((rc+rm)/rm*t))
x = (xa + rd/np.sqrt(dxa**2 + dya**2)*(-dya))*np.cos(-2*phis/(n-1))-(ya + rd/np.sqrt(dxa**2 + dya**2)*dxa)*np.sin(-2*phis/(n-1)) + 2*e*np.cos(phis)
y = (xa + rd/np.sqrt(dxa**2 + dya**2)*(-dya))*np.sin(-2*phis/(n-1))+(ya + rd/np.sqrt(dxa**2 + dya**2)*dxa)*np.cos(-2*phis/(n-1)) + 2*e*np.sin(phis)
ehypocycloid.set_data(x,y)
edot.set_data(x[0], y[0])
##ehypocycloidB:
ehypocycloidB, = ax.plot([0],[0],'b-')
edotB, = ax.plot([0],[0], 'bo', ms=5)
def update_ehypocycloidB(e,n,D,d):
RD=D/2
rd=d/2
rc = (n+1)*(RD/n)
rm = (RD/n)
xa = (rc-rm)*np.cos(t)+e*np.cos((rc-rm)/rm*t)
ya = (rc-rm)*np.sin(t)-e*np.sin((rc-rm)/rm*t)
dxa = (rc-rm)*(-np.sin(t)-(e/rm)*np.sin((rc-rm)/rm*t))
dya = (rc-rm)*(np.cos(t)-(e/rm)*np.cos((rc-rm)/rm*t))
x = (xa - rd/np.sqrt(dxa**2 + dya**2)*(-dya))
y = (ya - rd/np.sqrt(dxa**2 + dya**2)*dxa)
ehypocycloidB.set_data(x,y)
edotB.set_data(x[0], y[0])
axcolor = 'lightgoldenrodyellow'
ax_fm = plt.axes([0.25, 0.21, 0.5, 0.02], facecolor=axcolor)
#ax_Rm = plt.axes([0.25, 0.24, 0.5, 0.02], facecolor=axcolor)
#ax_n = plt.axes([0.25, 0.21, 0.5, 0.02], facecolor=axcolor)
ax_Rd = plt.axes([0.25, 0.18, 0.5, 0.02], facecolor=axcolor)
ax_rd = plt.axes([0.25, 0.15, 0.5, 0.02], facecolor=axcolor)
ax_e = plt.axes([0.25, 0.12, 0.5, 0.02], facecolor=axcolor)
ax_N = plt.axes([0.25, 0.09, 0.5, 0.02], facecolor=axcolor)
ax_d = plt.axes([0.25, 0.06, 0.5, 0.02], facecolor=axcolor)
ax_D = plt.axes([0.25, 0.03, 0.5, 0.02], facecolor=axcolor)
sli_fm = Slider(ax_fm, 'fm', 10, 100, valinit=50, valstep=delta)
#sli_Rm = Slider(ax_Rm, 'Rm', 1, 10, valinit=20, valstep=delta)
#sli_n = Slider(ax_n, 'n', 3, 10, valinit=6, valstep=delta)
sli_Rd = Slider(ax_Rd, 'Rd', 1, 40, valinit=10, valstep=delta)
sli_rd = Slider(ax_rd, 'rd', 0.1, 10, valinit=1.5, valstep=delta/10)
sli_e = Slider(ax_e, 'e', 0.1, 10, valinit=2, valstep=delta/10)
sli_N = Slider(ax_N, 'N', 2, 40, valinit=10, valstep=delta)
sli_d = Slider(ax_d, 'd', 2, 20, valinit=10,valstep=delta)
sli_D = Slider(ax_D, 'D', 5, 100, valinit=80,valstep=delta)
def update(val):
sfm = sli_Rd.val
#sRm = sli_Rm.val
sRd = sli_Rd.val
#sn = sli_n.val
srd = sli_rd.val
se = sli_e.val
sN = sli_N.val
sd = sli_d.val
sD = sli_D.val
ax.set_xlim(-1.4*0.5*sD,1.4*0.5*sD)
ax.set_ylim(-1.4*0.5*sD,1.4*0.5*sD)
sli_fm.on_changed(update)
#sli_Rm.on_changed(update)
sli_Rd.on_changed(update)
#sli_n.on_changed(update)
sli_rd.on_changed(update)
sli_e.on_changed(update)
sli_N.on_changed(update)
sli_d.on_changed(update)
sli_D.on_changed(update)
resetax = plt.axes([0.8, 0.0, 0.1, 0.04])
button = Button(resetax, 'Reset', color=axcolor, hovercolor='0.975')
def reset(event):
sli_fm.reset()
#sli_Rm.reset()
#sli_n.reset()
sli_rd.reset()
sli_Rd.reset()
sli_e.reset()
sli_N.reset()
sli_d.reset()
sli_D.reset()
button.on_clicked(reset)
def animate(frame):
sfm = sli_fm.val
#sRm = sli_Rm.val
sRd = sli_Rd.val
#sn = sli_n.val
srd = sli_rd.val
se = sli_e.val
sN = sli_N.val
sd = sli_d.val
sD = sli_D.val
frame = frame+1
phi = 2*np.pi*frame/sfm
draw_pin_init()
draw_circle(se,sRd,phi)
pin_update(se,sN,sd,sD, phi)
drive_pin_init()
drive_pin_update(srd,sN,sD,phi)
update_ehypocycloidA(se,sN,sD,sd, phi)
update_ehypocycloidB(se,sN,sD,sd)
fig.canvas.draw_idle()
ani = animation.FuncAnimation(fig, animate,frames=sli_fm.val*(sli_N.val-1), interval=interval)
dpi=100
plt.show()