Research Article
Dec 1980
Dynamic Response to Nonstationary Nonwhite Excitation
Publication: Journal of the Engineering Mechanics Division
Volume 106, Issue 6
Abstract
The root mean square responses of linear multidegrees-of-freedom system to nonstationary, nonwhite random excitation are computed analytically using the state space formulation. Each modal equation is augmented by a filter and the augmented system is driven by evolutionary white noise. Analytical expressions for the evolutionary covariance matrix of the augmented system are given. Modal RMS responses are then superposed to obtain the desired responses; all cross-correlation terms among modes are included. Nonstationary responses are computed for a four-degree-of-freedom system. The effects of nonstationary and nonwhiteness are quantified and examined. Responses are compared with those obtained by using an unfiltered formulation with different white noise intensities driving the modes.
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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 6 • December 1980
Pages: 1233 - 1248
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Dec 1980
Published online: Feb 3, 2021
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Authors
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Dario A. Gasparini, M.ASCE
Asst. Prof. of Civ. Engrg., Case Western Reserve Univ, Cleveland, Ohio.
Amitabha DebChaudhury
Research Asst., Dept. 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.