Research Article
Apr 1980
Probability of Response to Evolutionary Process
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 106, Issue 2
Abstract
The probability density function of the response amplitude of a lightly damped linear oscillator subjected to a broad-band nonstationary process with evolutionary spectrum is examined. By using a combination of deterministic and stochastic averaging a one-dimensional diffusion equation is obtained that approximately governs the time evolution of the probability density function of the response amplitude. Based on the diffusion equation it is proved that the nonstationary probability density of the response amplitude can be approximated by a Rayleigh distribution with a time dependent scaling variable. An equation for the analytical determination of the scaling variable is presented.
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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 2 • April 1980
Pages: 213 - 224
Copyright
© 1980 American Society of Civil Engineers.
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Published in print: Apr 1980
Published online: Feb 3, 2021
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Polichronis-Thomas D. Spanos, AM.ASCE
Asst. Prof. of Civ. Engrg., Univ. of Texas, Austin, Tex.
Loren D. Lutes, M.ASCE
Assoc. Prof. of Civ. Engrg., Rice Univ., Houston, Tex.
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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.