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demo_8.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, 10000)
delta = 1
## draw pin
num_pins = 61
pins = [ax.plot([], [], 'k-')[0] for n in range(num_pins)]
def draw_pin_init():
for p in pins:
p.set_data([0], [0])
def pin_update(n,d,D):
for i in range(int(n)):
x = (d/2*np.sin(t)+ D/2*np.cos(2*i*np.pi/n))
y = (d/2*np.cos(t) + D/2*np.sin(2*i*np.pi/n))
pins[i].set_data(x,y)
## draw drive_pin
d0, = ax.plot([0],[0],'k-', lw=2)
def drive_pin_update(r):
x = r*np.sin(t)
y = r*np.cos(t)
d0.set_data(x,y)
##inner pin:
inner_pin, = ax.plot([0],[0],'r-')
dot, = ax.plot([0],[0], 'ro', ms=5)
def update_inner_pin(e,Rm, phi):
x = (Rm+e)*np.cos(t)+e*np.cos(phi)
y = (Rm+e)*np.sin(t)+e*np.sin(phi)
inner_pin.set_data(x,y)
x1 = (Rm+e)*np.cos(phi)+e*np.cos(phi)
y1 = (Rm+e)*np.sin(phi)+e*np.sin(phi)
dot.set_data(x1, y1)
##inner pinD:
inner_pinD, = ax.plot([0],[0],'b-')
dotD, = ax.plot([0],[0], 'bo', ms=5)
def update_inner_pinD(e,Rm, phi):
x = (Rm+e)*np.cos(t)-e*np.cos(phi)
y = (Rm+e)*np.sin(t)-e*np.sin(phi)
inner_pinD.set_data(x,y)
x1 = (Rm+e)*np.cos(phi+np.pi)-e*np.cos(phi)
y1 = (Rm+e)*np.sin(phi+np.pi)-e*np.sin(phi)
dotD.set_data(x1, y1)
##hypocycloidA:
hypocycloidA, = ax.plot([0],[0],'r-')
edotA, = ax.plot([0],[0], 'ro', ms=5)
def update_hypocycloidA(lamuda,e,n,D,d, phis):
#lamuda = 0.9
RD=D/2
rd=d/2
rc = (n-1)*(RD/n)
rm = (RD/n)
xa = (rc+rm)*np.cos(t)-e*lamuda*np.cos((rc+rm)/rm*t)-rd*(np.cos(t) - lamuda*np.cos((rc+rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
ya = (rc+rm)*np.sin(t)-e*lamuda*np.sin((rc+rm)/rm*t)-rd*(np.sin(t) - lamuda*np.sin((rc+rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
x = (xa )*np.cos(-phis/(n-1))-(ya )*np.sin(-phis/(n-1)) + e*np.cos(phis)
y = (xa )*np.sin(-phis/(n-1))+(ya )*np.cos(-phis/(n-1)) + e*np.sin(phis)
hypocycloidA.set_data(x,y)
edotA.set_data(x[0], y[0])
##hypocycloidC:
hypocycloidC, = ax.plot([0],[0],'b-')
def update_hypocycloidC(lamuda,e,n,D,d, phis):
#lamuda = 0.9
RD=D/2
rd=d/2
rc = (n)*(RD/n)
rm = (RD/n)
xa = (rc+rm)*np.cos(t)-e*lamuda*np.cos((rc+rm)/rm*t)-rd*(np.cos(t) - lamuda*np.cos((rc+rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
ya = (rc+rm)*np.sin(t)-e*lamuda*np.sin((rc+rm)/rm*t)-rd*(np.sin(t) - lamuda*np.sin((rc+rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
hypocycloidC.set_data(xa,ya)
##hypocycloidB:
hypocycloidB, = ax.plot([0],[0],'b-')
edotB, = ax.plot([0],[0], 'bo', ms=5)
def update_hypocycloidB(lamuda,e,n,D,d, phis):
#lamuda = 0.9
RD=D/2
rd=d/2
rc = (n+1)*(RD/n)
rm = (RD/n)
xa = (rc-rm)*np.cos(t)+e*lamuda*np.cos((rc-rm)/rm*t)+rd*(np.cos(t) - lamuda*np.cos((rc-rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
ya = (rc-rm)*np.sin(t)-e*lamuda*np.sin((rc-rm)/rm*t)+rd*(np.sin(t) + lamuda*np.sin((rc-rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
x = (xa )*np.cos(phis/(n+1))-(ya )*np.sin(phis/(n+1)) - e*np.cos(phis)
y = (xa )*np.sin(phis/(n+1))+(ya )*np.cos(phis/(n+1)) - e*np.sin(phis)
hypocycloidB.set_data(x,y)
edotB.set_data(x[0], y[0])
##hypocycloidD:
hypocycloidD, = ax.plot([0],[0],'r-')
def update_hypocycloidD(lamuda,e,n,D,d, phis):
#lamuda = 0.9
RD=D/2
rd=d/2
rc = (n)*(RD/n)
rm = (RD/n)
xa = (rc-rm)*np.cos(t)+e*lamuda*np.cos((rc-rm)/rm*t)+rd*(np.cos(t) - lamuda*np.cos((rc-rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
ya = (rc-rm)*np.sin(t)-e*lamuda*np.sin((rc-rm)/rm*t)+rd*(np.sin(t) + lamuda*np.sin((rc-rm)/rm*t))/np.sqrt(1 + lamuda**2 - 2*lamuda*np.cos(rc/rm*t))
hypocycloidD.set_data(xa,ya)
axcolor = 'lightgoldenrodyellow'
ax_la = plt.axes([0.25, 0.14, 0.5, 0.015], facecolor=axcolor)
ax_fm = plt.axes([0.25, 0.12, 0.5, 0.015], facecolor=axcolor)
ax_Rm = plt.axes([0.25, 0.10, 0.5, 0.015], facecolor=axcolor)
ax_e = plt.axes([0.25, 0.08, 0.5, 0.015], facecolor=axcolor)
ax_N = plt.axes([0.25, 0.06, 0.5, 0.015], facecolor=axcolor)
ax_d = plt.axes([0.25, 0.04, 0.5, 0.015], facecolor=axcolor)
ax_D = plt.axes([0.25, 0.02, 0.5, 0.015], facecolor=axcolor)
sli_la = Slider(ax_la, 'la', 0.8, 0.98, valinit=0.95, valstep=delta/100)
sli_fm = Slider(ax_fm, 'fm', 10, 100, valinit=50, valstep=delta)
sli_Rm = Slider(ax_Rm, 'Rm', 1, 10, valinit=5, valstep=delta)
sli_e = Slider(ax_e, 'e', 0.1, 10, valinit=2.5, valstep=delta/10)
sli_N = Slider(ax_N, 'N', 3, 40, valinit=16, 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):
sla = sli_la.val
sfm = sli_Rm.val
sRm = sli_Rm.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_la.on_changed(update)
sli_fm.on_changed(update)
sli_Rm.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([0.85, 0.01, 0.1, 0.04])
button = Button(resetax, 'Reset', color=axcolor, hovercolor='0.975')
def reset(event):
sli_la.reset()
sli_fm.reset()
sli_Rm.reset()
sli_e.reset()
sli_N.reset()
sli_d.reset()
sli_D.reset()
button.on_clicked(reset)
def animate(frame):
sla = sli_la.val
sfm = sli_fm.val
sRm = sli_Rm.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()
pin_update(sN,sd,sD)
update_inner_pin(se,sRm, phi)
update_inner_pinD(se,sRm, phi)
drive_pin_update(sRm)
update_hypocycloidA(sla,se,sN,sD,sd, phi)
update_hypocycloidC(sla,se,sN,sD,sd, phi)
update_hypocycloidB(sla,se,sN,sD,sd, phi)
update_hypocycloidD(sla,se,sN,sD,sd, phi)
fig.canvas.draw_idle()
ani = animation.FuncAnimation(fig, animate,frames=sli_fm.val*(sli_N.val-1), interval=interval)
dpi=100
plt.show()