Steady State Response Prediction of General Linear Structures Coupled by Local Nonlinear Elements

1998 ◽  
Vol 120 (3) ◽  
pp. 648-649
Author(s):  
K. Q. Xu ◽  
H. J. Rice
Keyword(s):  
Steady State ◽  
Time Domain ◽  
Response Prediction ◽  
Direct Application ◽  
Time Domain Method ◽  
General Linear ◽  
Short Paper ◽  
Steady State Response ◽  
Linear Structures ◽  
State Response

This short paper is concerned with a direct application of the techniques developed by the authors in two previous publications. It is considered as a “booster” to the existing alternating frequency/time domain method which already has many important advantages over most other methods.

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

1989 ◽  
Vol 56 (1) ◽  
pp. 149-154 ◽  
Author(s):  
T. M. Cameron ◽  
J. H. Griffin
Keyword(s):  
Steady State ◽  
Frequency Domain ◽  
Dynamic Systems ◽  
Time Domain ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
System Response ◽  
Steady State Response ◽  
State Response ◽  
The Time Domain

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.

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