Model a Triple Pendulum: Step-by-Step Guide

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Homework Help Overview

The discussion revolves around modeling a triple pendulum, specifically focusing on the formulation of the equations of motion. The original poster has experience with single and double pendulums but is struggling with the complexity of the triple pendulum system.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to derive the equations of motion but feels that their initial equation is incomplete. They express uncertainty due to a lack of recent study in mechanics.
  • Some participants question whether the pendulum is constrained to two dimensions or allowed to move freely in three dimensions, which may affect the modeling approach.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. The original poster has reached out for help but has not received responses yet. There is a recognition that while the equations may be complex, they are not insurmountable.

Contextual Notes

The original poster mentions that their mechanics textbook does not provide adequate guidance on setting up the equations, which contributes to their uncertainty. They also note that they are currently working in a two-dimensional context, which they believe is sufficient to demonstrate chaotic behavior.

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I am trying to do a computer model of a triple pendulum.
I have looked up some of the models for single and double pendulum and successfully model them.
but when i start of triple pendulum, i encounter a really fundamental problem, i don't know how to write the system of equation for that.:frown:

i got the first equation to be (m1+m2+m3)[L1]^2 [x1]''+(m2+m3)([L1][L2][L3]) [x2]''+(m1+m2+m3)[L1]g [x1] ==0

but i feel that the first equation has already missing something. but i can't really tell because my mechanic class was taken long time ago and the book i have doesn't explain much about setting up the equation. it just basically told me that is the equation.

any help will be appreciated
 
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anyone?

I asked my TA for help and they just simply ignored me... I know this question might increase their workload.
Any 3 bodies system like 3 masses spring system also work too. i just want to understand how to setup such system.
 
It isn't too difficult to write down equations of motion for this system, but they will be a bit longish. Before I try to explain how to get them though, do you have in mind pendula confined to swing in a plane or free to move in all three dimensions?
 
Physics Monkey said:
It isn't too difficult to write down equations of motion for this system, but they will be a bit longish. Before I try to explain how to get them though, do you have in mind pendula confined to swing in a plane or free to move in all three dimensions?

I am actually doing it in 2D at this time. i believe 2d can fully demotrate a chaotic system.
 

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