Modeling the Double Pendulum with Python and sympy

preview_player
Показать описание
Here is how to find the second order differential equations using sympy for a double pendulum.

python code for the 3d model:

Solving the double pendulum by hand

00:00 - Intro
02:35 - Finding Cartesian coordinates
05:40 - Using sympy
21:38 - Numerical Calculations
24:07 - 3d model
  1. Dot Physics
  2. physics
  3. lagrangian
  4. classical mechanics
  5. double pendulum
  6. python sympy
Рекомендации по теме
Double Pendulum Chaos 0:01:24

Double Pendulum Chaos Demonstration

1,000,000 double pendulums 0:00:27

1,000,000 double pendulums

Modeling a Double 0:00:14

Modeling a Double Pendulum using the Springs & Ropes Feature of the GMO Model

Modeling a Double 0:39:58

Modeling a Double Pendulum with Python

Modeling and Simulation 0:00:11

Modeling and Simulation for the Double Pendulum (2DOF) Using Lagrange's Equations in MATLAB

Modeling the Double 0:33:01

Modeling the Double Pendulum with Python and sympy

Simulation of Double 0:00:16

Simulation of Double Pendulum with Top Pendulum High Mass

Footnote †: Double 0:01:11

Footnote †: Double Pendulums Are Crazy

T1: Simscape Multibody 1:31:30

T1: Simscape Multibody Basics and Double Pendulum Modeling | Matlab 2023 | Finland

Butterfly-effect simulation using 0:00:54

Butterfly-effect simulation using 500 double pendulums

Coding Challenge 93: 0:31:11

Coding Challenge 93: Double Pendulum

The Double Pendulum 0:23:03

The Double Pendulum in PYTHON

Chaos simulation using 0:01:11

Chaos simulation using 1000 uncoupled double pendulums

The Double Pendulum 0:04:00

The Double Pendulum Fractal

double pendulums in 0:06:17

double pendulums in blender simulation

Orchard Live Tutorial 0:34:21

Orchard Live Tutorial Series: Modeling a Double-Pendulum for Pi Day

double pendulum simulation 0:01:42

double pendulum simulation

Modeling the double 0:05:27

Modeling the double pendulum with python and sympy

Double Pendulum Simulation 0:01:46

Double Pendulum Simulation in Matlab

Double Pendulum Simulation 0:11:41

Double Pendulum Simulation (Lagrangian Mechanics - Python)

Double Pendulum using 0:11:21

Double Pendulum using Python

1000 double pendulums 0:01:05

1000 double pendulums in springs | butterfly effect

Blender double pendulum 0:00:11

Blender double pendulum with fluid simulation

Double pendulum | 0:02:16

Double pendulum | Chaos | Butterfly effect | Computer simulation

Комментарии
Автор

That is really cool.
About 2 months ago I made a model of a Japanese style wind chime, and while making it I was like whoa .. this is a double pendulum.
I did the simulation animation part in Unity using spring joints and simulated wind applying a force .. after tuning it it looked pretty amazing and very realistic.
Awesome to see the python simulation!

ericpug
Автор

21:13 "It's dumb, it's childish" My first thought was "it's inefficient" but my second thought was "it's an opportunity".

I always wanted to learn tools like grep, sed and awk but I never had the motivation. Now I see this opportunity to learn those tools. What I might try over the christmas break when I'm bored is to export the solution into a text file and see if I can get grep, sed and whatever it takes to do the search and replace automatically. It won't be efficient but it'll keep me busy for at least an afternoon 😆

marcrindermann