First-Passage Time in a Random Vibrational System

[+] Author and Article Information
A. H. Gray

Department of Electrical Engineering, University of California, Santa Barbara, Calif.

J. Appl. Mech 33(1), 187-191 (Mar 01, 1966) (5 pages) doi:10.1115/1.3624977 History: Received June 02, 1965; Online September 15, 2011


The first-passage problem in a random vibrational system is solved by means of approximations which convert the problem to a first-order one-dimensional Markov process. Laplace transforms are used to evaluate the mean square time to failure.

Copyright © 1966 by ASME
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