Chaotic Motion of Pendulum with Support in Circular Orbit
Publication: Journal of Engineering Mechanics
Volume 117, Issue 2
Abstract
In this paper, nonlinear plane oscillations of a pendulum, whose support is in steady, circular motion in a vertical plane, are investigated. Regular and chaotic motions are shown to be possible in both damped and undamped cases. Numerical methods are used to obtain time histories, Poincaré maps and their fractal dimensions, Lyapunov spectra, and chaos diagrams. At high speeds of the support, the pendulum oscillates quasi‐periodically about a radial line. It is shown herein that, at low speeds, both damped and undamped motion of the pendulum about a radial line become chaotic. The effect of damping decreases the critical speed at which chaos is initiated and produces Poincaré plots with strange attractors that become more intense as the damping is increased.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 2 • February 1991
Pages: 329 - 347
Copyright
Copyright © 1991 ASCE.
History
Published online: Feb 1, 1991
Published in print: Feb 1991
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