Chaotic Motions of a Torsional Vibration Absorber

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

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

S. Wiggins

Applied Mechanics, California Institute of Technology, Pasadena, CA 91125

J. Appl. Mech 55(4), 952-958 (Dec 01, 1988) (7 pages) doi:10.1115/1.3173747 History: Received October 29, 1986; Revised February 10, 1988; Online July 21, 2009


We consider large amplitude motions of a pendulum-type centrifugal vibration absorber which is used for the reduction of torsional oscillations in rotating machinery. The basic two degree-of-freedom model is shown to possess chaotic dynamics for certain ranges of parameter values. The method used is a variation of Melnikov’s method (cf., Guckenheimer and Holmes, (1983), Chapter 4) developed for slowly varying oscillators (Wiggins and Holmes (1987), Wiggins and Shaw (1988)).

Copyright © 1988 by ASME
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