Research Article
Dec 1981
Random Vibration of Hysteretic, Degrading Systems
Publication: Journal of the Engineering Mechanics Division
Volume 107, Issue 6
Abstract
A differential equation model for hysteretic systems with strength, stiffness or combined degradation is presented. Solution under white noise, Kanai filtered white noise and temporally modulated filtered white noise is obtained by equivalent linearization, without recourse to the Krylov-Bogoliubov approximation typically required for hysteretic systems. Resulting zero time lag covariance response matrices agree well with simulated solutions at all excitation levels. First passage predictions are nonconservative, because of the non-Gaussian character of the response.
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Published In
Journal of the Engineering Mechanics Division
Volume 107 • Issue 6 • December 1981
Pages: 1069 - 1087
Copyright
© 1981 American Society of Civil Engineers.
History
Published in print: Dec 1981
Published online: Feb 3, 2021
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Authors
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Thomas T. Baber, AM.ASCE
Asst. Prof. of Civ. Engrg., Univ. of Virginia, Charlottesville, Va. formerly Grad. Research Asst., Univ. of Illinois, Urbana, Ill.
Yi-Kwei Wen, M.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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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.