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import numpy as np | |
import matplotlib.pyplot as plt | |
N = 100 # in how much sub pieces we should break a 1sec interval | |
T = 15 # total duration of the simulation | |
dt = 1 / N # dt | |
g = 9.81 # acceleration of gravity | |
L = 1 # pendulum rope length | |
k = 0.8 # air resistance coefficient | |
m = 1 # mass of the pendulum | |
theta = [np.pi / 2] # initial angle | |
theta_dot = [0] # initial angular velocity | |
t = [0] | |
for i in range(N * T): | |
theta_dot.append(theta_dot[-1] - theta_dot[-1] * dt * k / m - np.sin(theta[-1]) * dt * g / L) | |
theta.append(theta_dot[-1] * dt + theta[-1]) | |
t.append((i + 1) * dt) | |
plt.plot(t, theta, label='theta') | |
plt.plot(t, theta_dot, label='theta dot') | |
plt.legend() | |
plt.show() |
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