julestevez / pendulum

Mechanical simulation of different types of pendula

Pendulum simulator

Mechanical simulation of pendula.

By Pablo Rodríguez-Sánchez

Non-inertial pendula

Double pendulum (inertial and non-inertial)

Damped pendulum

Installation

git clone https://github.com/PabRod/pendulum
cd pendulum
python setup.py install --user

Tests

We are using pytest for unit testing. Run it via:

pytest

Getting started

This is a minimal example of the usage of this package:

## Import the required modules
from pendulum.models import *
import matplotlib.pyplot as plt

## Set-up your problem
l = 1 # length
g = 9.8 # Gravity
d = 1 # Damping

ts = np.linspace(0, 10, 1000) # Simulation time
yinit = (0, 1) # Initial condition (th_0, w_0)

## Solve it
sol = pendulum(yinit, ts, l, g, d)

## Plot results
fig, axs = plt.subplots(1, 1)
plt.plot(ts, sol[:,0], label = r'$\theta$')
plt.plot(ts, sol[:,1], label = r'$\omega$')

plt.legend()
plt.show()

For more advanced examples, see:

• Simple pendulum
• Double pendulum
• Non-inertial simple pendulum (animated)
• Non-inertial double pendulum (animated)