The Dynamics of a Harmonically Excited System Having Rigid Amplitude Constraints, Part 2: Chaotic Motions and Global Bifurcations

[+] Author and Article Information
S. W. Shaw

Department of Mechanical Engineering, Michigan State University, East Lansing, Mich. 48824

J. Appl. Mech 52(2), 459-464 (Jun 01, 1985) (6 pages) doi:10.1115/1.3169069 History: Received March 01, 1984; Revised June 01, 1984; Online July 21, 2009


The simple model described in [1] was shown to exhibit nonlinear behavior such as subharmonic responses. In this paper parameter regions are examined in which no simple stable motions exist. In such regions complicated bifurcation sequences are encountered which result in long period and chaotic motions. These motions are irregular, bounded responses to periodic excitation and have not been previously considered in systems having two-sided amplitude constraints.

Copyright © 1985 by ASME
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