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. Journal of Sound and Vibration, 83 (2). pp. 241-251. ISSN 0022-460X

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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: Article
Uncontrolled Keywords: Vibrations; Structural Analysis-Dynamic Response
Subjects: ENGINEERING > Structural Mechanics
Depositing User: MS Jayashree S
Date Deposited: 05 Aug 2008
Last Modified: 24 May 2010 04:25

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