First passage probability during random vibration

Iyengar, R. N. (1973) First passage probability during random vibration Journal of Sound and Vibration, 31 (2). pp. 185-193. ISSN 0022-460X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00224...

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

Abstract

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:Article
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ID Code:12718
Deposited On:11 Nov 2010 09:06
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