56 lines
No EOL
1.3 KiB
Python
56 lines
No EOL
1.3 KiB
Python
import legrandchien as lgc
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import matplotlib.pyplot as plt
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import matplotlib.animation as animation
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import numpy as np
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g = lgc.Const(10)
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m = lgc.Const(1)
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k = lgc.Const(10)
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r0 = lgc.Const(1)
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theta = lgc.Var("theta")
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r = lgc.Var("r")
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x = r * lgc.cos(theta)
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y = r * lgc.sin(theta)
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T = 0.5 * m * (x.diff()*x.diff() + y.diff()*y.diff())
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V = m * g * r * lgc.cos(theta) + k * (r - r0) * (r - r0)
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L = T - V
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dico = {
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"theta" : -3.14/2,
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"d_theta" : 0,
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"r" : 1.2,
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"d_r" : 0,
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}
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data = L.solve(dico, 10, 0.01)
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# Extraire les positions
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times = sorted(data.keys())
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positions = [data[t] for t in times]
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x_positions = [p["r"] * np.sin(p["theta"]) for p in positions]
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y_positions = [p["r"] * np.cos(p["theta"]) for p in positions]
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# Créer la figure et l'axe
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fig, ax = plt.subplots(figsize=(8, 8))
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ax.set_xlim(-3, 3)
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ax.set_ylim(-3, 3)
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ax.set_xlabel("X (m)")
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ax.set_ylabel("Y (m)")
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ax.grid(True)
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line, = ax.plot([], [], 'o-', lw=2, markersize=8)
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trace, = ax.plot([], [], 'r-', alpha=0.3, lw=1)
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def animate(frame):
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line.set_data([0, x_positions[frame]], [0, y_positions[frame]])
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trace.set_data(x_positions[:frame+1], y_positions[:frame+1])
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return line, trace
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anim = animation.FuncAnimation(fig, animate, frames=len(x_positions), interval=50, blit=True, repeat=True)
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plt.show() |