Analysis of randomly time varying systems by gaussian closure technique

Dash, PK and Iyengar, RN (1982) Analysis of randomly time varying systems by gaussian closure technique. In: Journal of Sound and Vibration, 83 (2). pp. 241-251.

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Abstract

The Gaussian probability closure technique is applied to study the random response of multidegree of freedom stochastically time varying systems under non-Gaussian excitations. Under the assumption that the response, the coefficient and the excitation processes are jointly Gaussian, deterministic equations are derived for the first two response moments. It is further shown that this technique leads to the best Gaussian estimate in a minimum mean square error sense. An example problem is solved which demonstrates the capability of this technique for handling non-linearity, stochastic system parameters and amplitude limited responses in a unified manner. Numerical results obtained through the Gaussian closure technique compare well with the exact solutions.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	10 Jul 2009 10:20
Last Modified:	19 Sep 2010 05:37
URI:	http://eprints.iisc.ac.in/id/eprint/21387

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