An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

[+] Author and Article Information
T. M. Cameron, J. H. Griffin

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, PA 15213

J. Appl. Mech 56(1), 149-154 (Mar 01, 1989) (6 pages) doi:10.1115/1.3176036 History: Received October 15, 1987; Revised June 27, 1988; Online July 21, 2009


A method is proposed for analyzing the steady-state response of nonlinear dynamic systems. The method iterates to obtain the discrete Fourier transform of the system response, returning to the time domain at each iteration to take advantage of the ease in evaluating nonlinearities there—rather than analytically describing the nonlinear terms in the frequency domain. The updated estimates of the nonlinear terms are transformed back into the frequency domain in order to continue iterating on the frequency spectrum of the steady-state response. The method is demonstrated by solving a problem with friction damping in which the excitation has multiple discrete frequencies.

Copyright © 1989 by ASME
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