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demo_10.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
#plt.rcParams['animation.ffmpeg_path'] = 'D:/portableSoftware/ShareX/ShareX/Tools/ffmpeg.exe'
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
e =2
n=10
RD=40
rd=5
#plt.grid()
## draw pin
l0, = ax.plot([], [], 'r-')
l1, = ax.plot([], [], 'r-')
l2, = ax.plot([], [], 'r-')
l3, = ax.plot([], [], 'r-')
l4, = ax.plot([], [], 'r-')
l5, = ax.plot([], [], 'r-')
l6, = ax.plot([], [], 'r-')
l7, = ax.plot([], [], 'r-')
l8, = ax.plot([], [], 'r-')
l9, = ax.plot([], [], 'r-')
l10, = ax.plot([], [], 'r-')
l11, = ax.plot([], [], 'r-')
l12, = ax.plot([], [], 'r-')
l13, = ax.plot([], [], 'r-')
l14, = ax.plot([], [], 'r-')
l15, = ax.plot([], [], 'r-')
l16, = ax.plot([], [], 'r-')
l17, = ax.plot([], [], 'r-')
l18, = ax.plot([], [], 'r-')
l19, = ax.plot([], [], 'r-')
l20, = ax.plot([], [], 'r-')
l21, = ax.plot([], [], 'r-')
l22, = ax.plot([], [], 'r-')
l23, = ax.plot([], [], 'r-')
l24, = ax.plot([], [], 'r-')
l25, = ax.plot([], [], 'r-')
l26, = ax.plot([], [], 'r-')
l27, = ax.plot([], [], 'r-')
l28, = ax.plot([], [], 'r-')
l29, = ax.plot([], [], 'r-')
l30, = ax.plot([], [], 'r-')
l31, = ax.plot([], [], 'r-')
l32, = ax.plot([], [], 'r-')
l33, = ax.plot([], [], 'r-')
l34, = ax.plot([], [], 'r-')
l35, = ax.plot([], [], 'r-')
l36, = ax.plot([], [], 'r-')
l37, = ax.plot([], [], 'r-')
l38, = ax.plot([], [], 'r-')
l39, = ax.plot([], [], 'r-')
l40, = ax.plot([], [], 'r-')
for i in range(int(10)):
x = (5*np.sin(t)+ 40*np.cos(2*i*np.pi/10))
y = (5*np.cos(t) + 40*np.sin(2*i*np.pi/10))
if i == 0:
l0, = ax.plot(x, y,'r-')
if i == 1:
l1, = ax.plot(x, y,'r-')
if i == 2:
l2, = ax.plot(x, y,'r-')
if i == 3:
l3, = ax.plot(x, y,'r-')
if i == 4:
l4, = ax.plot(x, y,'r-')
if i == 5:
l5, = ax.plot(x, y,'r-')
if i == 6:
l6, = ax.plot(x, y,'r-')
if i == 7:
l7, = ax.plot(x, y,'r-')
if i == 8:
l8, = ax.plot(x, y,'r-')
if i == 9:
l9, = ax.plot(x, y,'r-')
if i == 10:
l10, = ax.plot(x, y,'r-')
if i == 11:
l11, = ax.plot(x, y,'r-')
if i == 12:
l12, = ax.plot(x, y,'r-')
if i == 13:
l13, = ax.plot(x, y,'r-')
if i == 14:
l14, = ax.plot(x, y,'r-')
if i == 15:
l15, = ax.plot(x, y,'r-')
if i == 16:
l16, = ax.plot(x, y,'r-')
if i == 17:
l17, = ax.plot(x, y,'r-')
if i == 18:
l18, = ax.plot(x, y,'r-')
if i == 19:
l19, = ax.plot(x, y,'r-')
if i == 20:
l20, = ax.plot(x, y,'r-')
if i == 21:
l21, = ax.plot(x, y,'r-')
if i == 22:
l22, = ax.plot(x, y,'r-')
if i == 23:
l23, = ax.plot(x, y,'r-')
if i == 24:
l24, = ax.plot(x, y,'r-')
if i == 25:
l25, = ax.plot(x, y,'r-')
if i == 26:
l26, = ax.plot(x, y,'r-')
if i == 27:
l27, = ax.plot(x, y,'r-')
if i == 28:
l28, = ax.plot(x, y,'r-')
if i == 29:
l29, = ax.plot(x, y,'r-')
if i == 30:
l30, = ax.plot(x, y,'r-')
if i == 31:
l31, = ax.plot(x, y,'r-')
if i == 32:
l32, = ax.plot(x, y,'r-')
if i == 33:
l33, = ax.plot(x, y,'r-')
if i == 34:
l34, = ax.plot(x, y,'r-')
if i == 35:
l35, = ax.plot(x, y,'r-')
if i == 36:
l36, = ax.plot(x, y,'r-')
if i == 37:
l37, = ax.plot(x, y,'r-')
if i == 38:
l38, = ax.plot(x, y,'r-')
if i == 39:
l39, = ax.plot(x, y,'r-')
if i == 40:
l40, = ax.plot(x, y,'r-')
def draw_pin_init():
l0.set_data([0], [0])
l1.set_data([0], [0])
l2.set_data([0], [0])
l3.set_data([0], [0])
l4.set_data([0], [0])
l5.set_data([0], [0])
l6.set_data([0], [0])
l7.set_data([0], [0])
l8.set_data([0], [0])
l9.set_data([0], [0])
l10.set_data([0], [0])
l11.set_data([0], [0])
l12.set_data([0], [0])
l13.set_data([0], [0])
l14.set_data([0], [0])
l15.set_data([0], [0])
l16.set_data([0], [0])
l17.set_data([0], [0])
l18.set_data([0], [0])
l19.set_data([0], [0])
l20.set_data([0], [0])
l21.set_data([0], [0])
l22.set_data([0], [0])
l23.set_data([0], [0])
l24.set_data([0], [0])
l25.set_data([0], [0])
l26.set_data([0], [0])
l27.set_data([0], [0])
l28.set_data([0], [0])
l29.set_data([0], [0])
l30.set_data([0], [0])
l31.set_data([0], [0])
l32.set_data([0], [0])
l33.set_data([0], [0])
l34.set_data([0], [0])
l35.set_data([0], [0])
l36.set_data([0], [0])
l37.set_data([0], [0])
l38.set_data([0], [0])
l39.set_data([0], [0])
l40.set_data([0], [0])
def draw_inner_pin_init():
p0.set_data([0], [0])
p1.set_data([0], [0])
p2.set_data([0], [0])
p3.set_data([0], [0])
p4.set_data([0], [0])
p5.set_data([0], [0])
p6.set_data([0], [0])
p7.set_data([0], [0])
p8.set_data([0], [0])
p9.set_data([0], [0])
def pin_update(n,d,D,phis):
for i in range(int(n)):
xa = (d/2*np.sin(t)+ D/2*np.cos(2*i*np.pi/n))
ya = (d/2*np.cos(t) + D/2*np.sin(2*i*np.pi/n))
#x = xa*np.cos(-phi/(n)+np.pi/(n)) - ya * np.sin(-phi/(n)+np.pi/(n)) + e*np.cos(phi)
#y = xa*np.sin(-phi/(n)+np.pi/(n)) + ya * np.cos(-phi/(n)+np.pi/(n)) + e*np.cos(phi)
x = (xa )*np.cos(-phis/(n)+np.pi/(n))-(ya )*np.sin(-phis/(n)+np.pi/(n)) + e*np.cos(phis)
y = (xa )*np.sin(-phis/(n)+np.pi/(n))+(ya )*np.cos(-phis/(n)+np.pi/(n)) + e*np.sin(phis)
if i == 0:
l0.set_data(x,y)
if i == 1:
l1.set_data(x,y)
if i == 2:
l2.set_data(x,y)
if i == 3:
l3.set_data(x,y)
if i == 4:
l4.set_data(x,y)
if i == 5:
l5.set_data(x,y)
if i == 6:
l6.set_data(x,y)
if i == 7:
l7.set_data(x,y)
if i == 8:
l8.set_data(x,y)
if i == 9:
l9.set_data(x,y)
if i == 10:
l10.set_data(x,y)
if i == 11:
l11.set_data(x,y)
if i == 12:
l12.set_data(x,y)
if i == 13:
l13.set_data(x,y)
if i == 14:
l14.set_data(x,y)
if i == 15:
l15.set_data(x,y)
if i == 16:
l16.set_data(x,y)
if i == 17:
l17.set_data(x,y)
if i == 18:
l18.set_data(x,y)
if i == 19:
l19.set_data(x,y)
if i == 20:
l20.set_data(x,y)
if i == 21:
l21.set_data(x,y)
if i == 22:
l22.set_data(x,y)
if i == 23:
l23.set_data(x,y)
if i == 24:
l24.set_data(x,y)
if i == 25:
l25.set_data(x,y)
if i == 26:
l26.set_data(x,y)
if i == 27:
l27.set_data(x,y)
if i == 28:
l28.set_data(x,y)
if i == 29:
l29.set_data(x,y)
if i == 30:
l30.set_data(x,y)
if i == 31:
l31.set_data(x,y)
if i == 32:
l32.set_data(x,y)
if i == 133:
l33.set_data(x,y)
if i == 34:
l34.set_data(x,y)
if i == 35:
l35.set_data(x,y)
if i == 36:
l36.set_data(x,y)
if i == 37:
l37.set_data(x,y)
if i == 38:
l38.set_data(x,y)
if i == 39:
l39.set_data(x,y)
if i == 40:
l40.set_data(x,y)
## draw inner_pin
p0, = ax.plot([], [], 'y-')
p1, = ax.plot([], [], 'y-')
p2, = ax.plot([], [], 'y-')
p3, = ax.plot([], [], 'y-')
p4, = ax.plot([], [], 'y-')
p5, = ax.plot([], [], 'y-')
p6, = ax.plot([], [], 'y-')
p7, = ax.plot([], [], 'y-')
p8, = ax.plot([], [], 'y-')
p9, = ax.plot([], [], 'y-')
for i in range(int(6)):
x = (5*np.sin(t)+ 20*np.cos(2*i*np.pi/6))
y = (5*np.cos(t) + 20*np.sin(2*i*np.pi/6))
if i == 0:
p0, = ax.plot(x, y,'y-')
if i == 1:
p1, = ax.plot(x, y,'y-')
if i == 2:
p2, = ax.plot(x, y,'y-')
if i == 3:
p3, = ax.plot(x, y,'y-')
if i == 4:
p4, = ax.plot(x, y,'y-')
if i == 5:
p5, = ax.plot(x, y,'y-')
if i == 6:
p6, = ax.plot(x, y,'y-')
if i == 7:
p7, = ax.plot(x, y,'y-')
if i == 8:
p8, = ax.plot(x, y,'y-')
if i == 9:
p9, = ax.plot(x, y,'y-')
def inner_pin_update(n,N,rd,Rd,phi):
for i in range(int(n)):
x = (rd*np.sin(t)+ Rd*np.cos(2*i*np.pi/n))*np.cos(-phi/(N-1)) - (rd*np.cos(t) + Rd*np.sin(2*i*np.pi/n))*np.sin(-phi/(N-1))
y = (rd*np.sin(t)+ Rd*np.cos(2*i*np.pi/n))*np.sin(-phi/(N-1)) + (rd*np.cos(t) + Rd*np.sin(2*i*np.pi/n))*np.cos(-phi/(N-1))
if i == 0:
p0.set_data(x,y)
if i == 1:
p1.set_data(x,y)
if i == 2:
p2.set_data(x,y)
if i == 3:
p3.set_data(x,y)
if i == 4:
p4.set_data(x,y)
if i == 5:
p5.set_data(x,y)
if i == 6:
p6.set_data(x,y)
if i == 7:
p7.set_data(x,y)
if i == 8:
p8.set_data(x,y)
if i == 9:
p9.set_data(x,y)
## draw drive_pin
a = 5*np.sin(t)
b = 5*np.cos(t)
d0, = ax.plot(a, b,'k-', lw=2)
def drive_pin_update(r):
x = r*np.sin(t)
y = r*np.cos(t)
d0.set_data(x,y)
#inner circle:
inner_circle1, = ax.plot([], [], 'r-', lw=2)
inner_circle2, = ax.plot([], [], 'r-', lw=2)
inner_circle3, = ax.plot([], [], 'r-', lw=2)
inner_circle4, = ax.plot([], [], 'r-', lw=2)
inner_circle5, = ax.plot([], [], 'r-', lw=2)
inner_circle6, = ax.plot([], [], 'r-', lw=2)
inner_circle7, = ax.plot([], [], 'r-', lw=2)
inner_circle8, = ax.plot([], [], 'r-', lw=2)
inner_circle9, = ax.plot([], [], 'r-', lw=2)
inner_circle10, = ax.plot([], [], 'r-', lw=2)
def draw_inner_circle_init():
inner_circle10.set_data([0], [0])
inner_circle1.set_data([0], [0])
inner_circle2.set_data([0], [0])
inner_circle3.set_data([0], [0])
inner_circle4.set_data([0], [0])
inner_circle5.set_data([0], [0])
inner_circle6.set_data([0], [0])
inner_circle7.set_data([0], [0])
inner_circle8.set_data([0], [0])
inner_circle9.set_data([0], [0])
for i in range(6):
x = (rd+e)*np.cos(t)+0.5*RD*np.cos(2*i*np.pi/6)+e
y = (rd+e)*np.sin(t)+0.5*RD*np.sin(2*i*np.pi/6)
if i==0:
inner_circle1, = ax.plot(x,y,'r-')
if i==1:
inner_circle2, = ax.plot(x,y,'r-')
if i==2:
inner_circle3, = ax.plot(x,y,'r-')
if i==3:
inner_circle4, = ax.plot(x,y,'r-')
if i==4:
inner_circle5, = ax.plot(x,y,'r-')
if i==5:
inner_circle6, = ax.plot(x,y,'r-')
if i==6:
inner_circle7, = ax.plot(x,y,'r-')
if i==7:
inner_circle8, = ax.plot(x,y,'r-')
if i==8:
inner_circle9, = ax.plot(x,y,'r-')
if i==9:
inner_circle10, = ax.plot(x,y,'r-')
def update_inner_circle(e,n,N,rd,Rd, phi):
for i in range(int(n)):
x = ((rd+e)*np.cos(t)+Rd*np.cos(2*i*np.pi/n))*np.cos(-phi/(N-1)) - ((rd+e)*np.sin(t)+Rd*np.sin(2*i*np.pi/n))*np.sin(-phi/(N-1)) + e*np.cos(phi)
y = ((rd+e)*np.cos(t)+Rd*np.cos(2*i*np.pi/n))*np.sin(-phi/(N-1)) + ((rd+e)*np.sin(t)+Rd*np.sin(2*i*np.pi/n))*np.cos(-phi/(N-1)) + e*np.sin(phi)
if i==0:
inner_circle1.set_data(x,y)
if i==1:
inner_circle2.set_data(x,y)
if i==2:
inner_circle3.set_data(x,y)
if i==3:
inner_circle4.set_data(x,y)
if i==4:
inner_circle5.set_data(x,y)
if i==5:
inner_circle6.set_data(x,y)
if i==6:
inner_circle7.set_data(x,y)
if i==7:
inner_circle8.set_data(x,y)
if i==8:
inner_circle9.set_data(x,y)
if i==9:
inner_circle10.set_data(x,y)
##inner pinA:
inner_pinA, = ax.plot([0],[0],'r-')
dotA, = ax.plot([0],[0], 'ro', ms=5)
def update_inner_pinA(e,Rm, phi):
x = (Rm+e)*np.cos(t)+e*np.cos(phi)
y = (Rm+e)*np.sin(t)+e*np.sin(phi)
inner_pinA.set_data(x,y)
x1 = (Rm+e)*np.cos(phi)+e*np.cos(phi)
y1 = (Rm+e)*np.sin(phi)+e*np.sin(phi)
#self.line.set_data([0,x1],[0,y1])
dotA.set_data(x1, y1)
##inner pinC:
inner_pinC, = ax.plot([0],[0],'r-.')
def update_inner_pinC(e,D, phi):
x = (D/2)*np.cos(t)+e*np.cos(phi)
y = (D/2)*np.sin(t)+e*np.sin(phi)
inner_pinC.set_data(x,y)
##ehypocycloidD:
ehypocycloidD, = ax.plot([0],[0],'b-')
edotD, = ax.plot([0],[0], 'bo', ms=5)
def update_ehypocycloidD(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( np.pi/(n+1)) - (ya - (rd)/np.sqrt(dxa**2 + dya**2)*dxa)*np.sin( np.pi/(n+1))
y = (xa - (rd)/np.sqrt(dxa**2 + dya**2)*(-dya))*np.sin( np.pi/(n+1)) + (ya - (rd)/np.sqrt(dxa**2 + dya**2)*dxa)*np.cos( np.pi/(n+1))
ehypocycloidD.set_data(x,y)
#self.eline.set_data([e*np.cos(phis),x[0]],[e*np.sin(phis),y[0]])
edotD.set_data(x[0], y[0])
##ehypocycloid_Pin1:
ehypocycloid_Pin1, = ax.plot([0],[0],'g-')
edot_Pin1, = ax.plot([0],[0], 'go', ms=5)
def update_ehypocycloid_Pin1(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((n-1)*t)
ya = (rc-rm)*np.sin(t)+e*np.sin((n-1)*t)
dxa = (rc-rm)*(-np.sin(t)+(e/rm)*np.sin((n-1)*t))
dya = (rc-rm)*(np.cos(t)+(e/rm)*np.cos((n-1)*t))
xa1 = (xa - (rd-e)/np.sqrt(dxa**2 + dya**2)*(-dya))
ya1 = (ya - (rd-e)/np.sqrt(dxa**2 + dya**2)*dxa)
x = (xa1 )*np.cos(-phis/(n))-(ya1 )*np.sin(-phis/(n)) + e*np.cos(phis) #旋转 + 自转
y = (xa1 )*np.sin(-phis/(n))+(ya1 )*np.cos(-phis/(n)) + e*np.sin(phis)
ehypocycloid_Pin1.set_data(x,y)
#self.eline.set_data([e*np.cos(phis),x[0]],[e*np.sin(phis),y[0]])
edot_Pin1.set_data(x[0], y[0])
axcolor = 'lightgoldenrodyellow'
ax_fm = plt.axes([0.25, 0.27, 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=5, valstep=delta)
sli_n = Slider(ax_n, 'n', 3, 10, valinit=6, valstep=delta)
sli_Rd = Slider(ax_Rd, 'Rd', 1, 40, valinit=20, valstep=delta)
sli_rd = Slider(ax_rd, 'rd', 1, 10, valinit=5, valstep=delta)
sli_e = Slider(ax_e, 'e', 0.1, 10, valinit=2, valstep=delta/10)
sli_N = Slider(ax_N, 'N', 3, 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_Rm.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([0.85, 0.01, 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_inner_pin_init()
draw_inner_circle_init()
pin_update(sN,sd,sD,phi)
update_inner_pinA(se,sRm, phi)
inner_pin_update(sn,sN,srd,sRd,phi)
drive_pin_update(sRm)
update_inner_circle(se,sn,sN,srd,sRd, phi)
update_ehypocycloidD(se,sN,sD,sd, phi)
update_inner_pinC(se,sD, phi)
update_ehypocycloid_Pin1(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
##un-comment the next line, if you want to save the animation as gif:
#hypo.animation.save('myhypocycloid.gif', writer='pillow', fps=10, dpi=75)
#ani.save('myGUI1.mp4', writer="ffmpeg",dpi=dpi)
plt.show()