Harmonic Analysis of Dynamic Systems With Nonsymmetric Nonlinearities

[+] Author and Article Information
P-T. D. Spanos

Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas 78712

W. D. Iwan

California Institute of Technology, Pasadena, Calif.

J. Dyn. Sys., Meas., Control 101(1), 31-36 (Mar 01, 1979) (6 pages) doi:10.1115/1.3426393 History: Received August 11, 1978; Revised January 31, 1979; Online July 13, 2010


The generalized method of equivalent linearization is modified to be applicable for multi-degree-of-freedom dynamic systems with nonsymmetric nonlinearities subjected to harmonic monofrequency excitation. Readily applicable formulas are given for the construction of the equivalent linear systems related to a class of systems commonly encountered in engineering applications. As an example of its application, the proposed method is used to generate an approximate steady-state solution for a simple vehicle system. The accuracy of the approximate solutions is determined.

Copyright © 1979 by ASME
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