# Cicloid

Mar 27th, 2023
524
0
Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
1. import numpy as np
2. import matplotlib.pyplot as plt
3. import matplotlib.animation as animation
4.
5. R = 3
6.
7. def circle(a, b, r):
8.     T = 100
9.     x, y = [0]*T, [0]*T
10.     for i,theta in enumerate(np.linspace(0,2*np.pi,T)):
11.         x[i] = a + r*np.cos(theta)
12.         y[i] = b + r*np.sin(theta)
13.     return x, y
14.
15.
16. def gen():
17.     for theta in np.linspace(0, 20*np.pi, 150):
18.         yield R*(theta-np.sin(theta)), R*(1-np.cos(theta)), R*theta
19.
20. fig = plt.figure(figsize=(6, 3))
22. ax.set_ylim(0, 20)
23. ax.set_xlim(0, 70)
24. ax.set_xlabel('x')
25. ax.set_ylabel('y')
26. ax.set_aspect('equal')
27. #ax.grid()
28. #time_text = ax.text(0.05, 0.8, '', transform=ax.transAxes)
29.
30. cycloid, = ax.plot([], [], 'r-', lw=2)
31. line, = ax.plot([], [], 'y-', lw=2)
32. circle_line, = ax.plot([], [], 'g', lw=2)
33. point, = ax.plot([], [], 'bo', ms=4)
34.
35. xx, yy = [], []
36.
37. def func(data):
38.     x, y, Rt = data
39.     #time_text.set_text(r'$\theta$ = %.2f $\pi$' % (Rt / np.pi))
40.     xx.append(x)
41.     yy.append(y)
42.     cx, cy = circle(Rt, R, R)
43.
44.     cycloid.set_data(xx, yy)
45.     line.set_data((x, Rt), (y, R))
46.     circle_line.set_data(cx, cy)
47.     point.set_data(x, y)
48.
49. ani = animation.FuncAnimation(fig, func, gen, blit=False, interval=50)
50. plt.show()