Animating the Two Degree of Freedom System (2DOF) - Part 1 of 3 - Solving the Equations of Motion

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Solving the equations of motion for the two degree-of-freedom (DOF) system by performing numerical integration using a Runge-Kutta 4th-order accurate integrator. Part 1 of 3.

Deriving the equations of motion for the two DOF system pendulum:

Final Code Repository:

Animating the Double Pendulum:

Starter Code Repository 1 (multi-degree-of-freedom problem):

Starter Code Repository 2 (single-degree-of-freedom simulator - using RK4):

Starter Code Repository 3 (double pendulum animation):

  1. Good Vibrations with Freeball
  2. two degree of freedom
  3. two dof
  4. 2 dof
  5. animating
  6. animation
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Keep it up with the videos. These videos are great, programming and physics and in my favourite language, Python! Thanks. If you have any more videos like derivation of Lagrangian and some other concepts in classical mechanics, I think that'd be really cool. Also, for your next coding challenge would you consider a 3D model? I haven't seen many made on Python so far.

laviekolchinsky
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This video is nice, Freeball! However, I don't see this in your vibrations playlist. I only got to this watching your video about mode shapes

AJ-etvf
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Hello, I sent an e-mail to your e-mail address that you shared on youtube. Can you review it? Your videos are very helpful. Can you do 2D frame analysis in Python video? element stiffness matrix [k] (to be created as a 6 * 6 matrix), global stiffness matrix [K] (to be created as a 6 * 6 matrix), sytem stiffness matrix [S] (to be created as a 12 * 12 matrix). Could you share a video that you will code for displacement and rotations?

buraksert