Research Article
Feb 1979
Response of MDOF Systems to Nonstationary Random Excitation
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 105, Issue 1
Abstract
Responses of linear, dynamic systems to nonstationary random excitation are calculated using a state formulation. Analytical expressions for evolutionary covariance matrices are derived for the case of evolutionary white noise excitation. As an example, responses of a 4-DOF system to ground acceleration are calculated. Modal decomposition is utilized and the relative importance of the cross covariance among the modes is quantified. Approximate first passage probabilities for high thresholds are calculated by using the evolutionary variances of a response and its time derivative and by making the Poisson assumption. An augmented dynamic system is proposed for the case of nonwhite excitation. The transition matrix for the augmented system is given.
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Published In
Journal of the Engineering Mechanics Division
Volume 105 • Issue 1 • February 1979
Pages: 13 - 27
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© 1979 American Society of Civil Engineers.
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Published in print: Feb 1979
Published online: Feb 3, 2021
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Authors
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D.A. Gasparini, M.ASCE
Asst. Prof. of Civ. Engrg., Case Western Reserve Univ., Cleveland, Ohio.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.