Dynamics of a double pendulum with distributed mass

Details Dynamics of a double pendulum with distributed mass Dynamics of a double pendulum with distributed mass

2008-12-01

arxiv.org/abs/0812.0393v1

Physics

Computational Physics

20 pages, 5 figures

Scientific paper

10.1119/1.3052072

We investigate a variation of the simple double pendulum in which the two point masses are replaced by square plates. The double square pendulum exhibits richer behavior than the simple double pendulum and provides a convenient demonstration of nonlinear dynamics and chaos. It is also an example of an asymmetric compound double pendulum, which has not been studied in detail. We obtain the equilibrium configurations and normal modes of oscillation and derive the equations of motion, which are solved numerically to produce Poincar\'{e} sections. We show how the behavior varies from regular motion at low energies, to chaos at intermediate energies, and back to regular motion at high energies. We also show that the onset of chaos occurs at a significantly lower energy than for the simple double pendulum.

Affiliated with

Also associated with

No associations

Rating

Dynamics of a double pendulum with distributed mass does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics of a double pendulum with distributed mass, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of a double pendulum with distributed mass will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718499