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Estimation of time variant reliability of randomly parametered non-linear vibrating systems

Sundar, VS and Manohar, CS (2014) Estimation of time variant reliability of randomly parametered non-linear vibrating systems. In: STRUCTURAL SAFETY, 47 . pp. 59-66.

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Official URL: http://dx.doi.org/10.1016/j.strusafe.2013.10.004

Abstract

The problem of time variant reliability analysis of randomly parametered and randomly driven nonlinear vibrating systems is considered. The study combines two Monte Carlo variance reduction strategies into a single framework to tackle the problem. The first of these strategies is based on the application of the Girsanov transformation to account for the randomness in dynamic excitations, and the second approach is fashioned after the subset simulation method to deal with randomness in system parameters. Illustrative examples include study of single/multi degree of freedom linear/non-linear inelastic randomly parametered building frame models driven by stationary/non-stationary, white/filtered white noise support acceleration. The estimated reliability measures are demonstrated to compare well with results from direct Monte Carlo simulations. (C) 2014 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Publication: STRUCTURAL SAFETY
Publisher: ELSEVIER SCIENCE BV
Additional Information: Copyright for this article belongs to the ELSEVIER SCIENCE BV, NETHERLANDS
Keywords: Random vibrations; Girsanov's transformation; Monte Carlo simulations; Time variant reliability analysis
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 16 May 2014 06:34
Last Modified: 16 May 2014 06:34
URI: http://eprints.iisc.ac.in/id/eprint/49083

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