Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique

[+] Author and Article Information
R. N. Iyengar

Department of Civil Engineering, Indian Institute of Science, Bangalore, India

P. K. Dash

Material Science Division, National Aeronautical Laboratory, Bangalore, India

J. Appl. Mech 45(2), 393-399 (Jun 01, 1978) (7 pages) doi:10.1115/1.3424308 History: Received June 01, 1977; Online July 12, 2010


A technique is developed to study random vibration of nonlinear systems. The method is based on the assumption that the joint probability density function of the response variables and input variables is Gaussian. It is shown that this method is more general than the statistical linearization technique in that it can handle non-Gaussian excitations and amplitude-limited responses. As an example a bilinear hysteretic system under white noise excitation is analyzed. The prediction of various response statistics by this technique is in good agreement with other available results.

Copyright © 1978 by ASME
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