Research Article
Apr 1976
Method for Random Vibration of Hysteretic Systems
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 2
Abstract
Based on a Markov-vector formulation and a Galerkin solution procedure, a new method of modeling and solution of a large class of hysteretic systems (softening or hardening, narrow or wide-band) under random excitation is proposed. The excitation is modeled as a filtered Gaussian shot noise allowing one to take the nonstationarity and spectral content of the excitation into consideration. The solutions include time histories of joint density, moments of all order, and threshold crossing rate; for the stationary case, autocorrelation, spectral density, and first passage time probability are also obtained. Comparison of results of numerical example with Monte-Carlo solutions indicates that the proposed method is a powerful and efficient tool.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 2 • April 1976
Pages: 249 - 263
Copyright
© 1976 American Society of Civil Engineers.
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Published in print: Apr 1976
Published online: Feb 3, 2021
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Yi-Kwei Wen, M.ASCE
Asst. Prof. of Civ. Engrg., Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
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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.