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RESEARCH PAPERS

Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations

[+] Author and Article Information
Jian-Qiao Sun, C. S. Hsu

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Appl. Mech 54(3), 649-655 (Sep 01, 1987) (7 pages) doi:10.1115/1.3173083 History: Received September 17, 1986; Revised December 31, 1986; Online July 21, 2009

Abstract

The validity of the cumulant-neglect closure method is examined by applying it to a system for which an exact solution is available. A comparison of the results indicates that the Gaussian closure technique usually leads to a mean-square versus excitation strength curve which follows the same general shape as that of the exact solution but has substantial errors in some cases. The 4th order cumulant-neglect method is found to be inapplicable and to predict erroneous behavior for systems in certain parameter ranges, including a faulty prediction of a jump in response as the excitation varies through a certain critical value. On the other hand, for systems in other ranges the 4th order cumulant-neglect closure method predicts the mean square response quite well. These two parameter ranges are delineated in the paper. The 6th order cumulant-neglect closure method is also examined, leading to similar conclusions.

Copyright © 1987 by ASME
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