Forced Nonlinear Oscillations of an Autoparametric System—Part 2: Chaotic Responses

[+] Author and Article Information
H. Hatwal

Department of Mechanical Engineering, The University of Calgary, 2500 University Drive, N.W., Calgary, Alberta, Canada T2N 1N4

A. K. Mallik, A. Ghosh

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, Kanpur-20816, India

J. Appl. Mech 50(3), 663-668 (Sep 01, 1983) (6 pages) doi:10.1115/1.3167107 History: Received March 01, 1982; Revised January 01, 1983; Online July 21, 2009


Chaotic oscillations arising in forced oscillations of a two degree-of-freedom autoparametric system are studied. Statistical analysis of the numerically integrated nonperiodic responses is shown to be a meaningful description of the mean square values and the frequency contents of the responses. Some qualitative experimental results are presented to substantiate the necessity of performing the statistical analysis of the responses even though the system and the input are deterministic.

Copyright © 1983 by ASME
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