A First-Passage Approximation in Random Vibration

[+] Author and Article Information
Ronald L. Racicot

Applied Mechanics and Mathematics, U. S. Army Watervliet Arsenal

Fred Moses

Case Western Reserve University, Cleveland, Ohio

J. Appl. Mech 38(1), 143-147 (Mar 01, 1971) (5 pages) doi:10.1115/1.3408734 History: Received April 15, 1969; Online July 12, 2010


A numerical technique is described for computing approximate first-passage probabilities for single-degree-of-freedom systems. It is applicable to cases where the joint probability distribution of response at two times can be found. From these distributions, the average size of a clump of consecutive failure crossings is computed. Results are compared to previously published simulation first-passage probabilities and good agreement is found. Examples illustrate applications to Gaussian and filtered Poisson processes.

Copyright © 1971 by ASME
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