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First passage probability during random vibration

Iyengar, RN (1973) First passage probability during random vibration. In: Journal of Sound and Vibration, 31 (2). pp. 185-193.

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Official URL: http://dx.doi.org/10.1016/S0022-460X(73)80374-8


The probability that a random process crosses an arbitrary level for the first time is expressed as a Gram—Charlier series, the leading term of which is the Poisson approximation. The coefficients of this series are related to the moments of the number of level crossings. The results are applicable to both stationary and non-stationary processes. Some numerical results are presented for the response process of a linear single-degree-of-freedom oscillator under Gaussian white noise excitation.

Item Type: Journal Article
Publication: Journal of Sound and Vibration
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 16 Jul 2010 03:36
Last Modified: 19 Sep 2010 06:09
URI: http://eprints.iisc.ac.in/id/eprint/28644

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