IYPT 2019 循环摆计算程序实例

题目回顾

Problem No.14 “Looping pendulum”

Connect two loads, one heavy and one light, with a string over a horizontal rod and lift up the heavy load by pulling down the light one. Release the light load and it will sweep around the rod, keeping the heavy load from falling to the ground. Investigate this phenomenon.

文件说明

• looping_pendulum.py 一个包含循环摆系统的程序源码。
• env.yml 一个适用于本程序的conda虚拟环境。
• 循环摆的Lagrangian方法.pdf 求解程序说明。

依赖

• python, >3.0
• numpy
• scipy, 需要scipy.integrate.ode
• matplotlib, 用于绘图
• pandas, 用于导出求解得到的数据(.csv文件)