It is one animation of the task "Pendulum-chain" for my article "Games with Chain".
See please the Russian variant of the article. and Mathcad 15 sheet in attach!
But I have some question:
1. Do you know some descriptions and solutions of this problem?
2. Can you help me to use not a X-Y plot but a polar plot for the solution and for an illustrations?
3. Can we think about a symbolic solution?
4. Can we have better initial conditions for the not crazy numerical solution and for more nice moving of the Pendulum-chain?
This is probably of no help, but I did recently see a demonstration of MapleSim where they built a 3-bar pendulum model and got the symbolic solution.
I was unclear. They demo'd it to me in a meeting. So it does what you are after (unless it bonks out with 7 bars). So, I think it's the right tool for the job, but I'm assuming you don't have a copy. (I don't either, but it is fairly impressive from what I've seen.)
An Error in numerical solution!
Potential energy of 7 masses + Kinetic Energy must be constant - see pls above the animation of 5-bar pendulum!