0
RESEARCH PAPERS

Probability of First-Passage Failure for Nonstationary Random Vibration

[+] Author and Article Information
J. B. Roberts

School of Applied Sciences, University of Sussex, Falmer, Brighton, Sussex, England

J. Appl. Mech 42(3), 716-720 (Sep 01, 1975) (5 pages) doi:10.1115/1.3423668 History: Received December 02, 1974; Revised December 10, 1974; Online July 12, 2010

Abstract

The problem of calculating the probability of first-passage failure, Pf , is considered, for systems responding to a short pulse of nonstationary random excitation. It is shown, by an analysis based on the “in and exclusion” series, that, under certain conditions, Pf tends to Pf * , the probability calculated by assuming Poisson distributed barrier crossings, as the barrier height, b, tends to infinity. The first three terms in the series solution provide bounds to Pf which converge when b is large. Methods of estimating Pf from these terms are presented which are useful even when the series is divergent. The theory is illustrated by numerical results relating to a linear oscillator excited by modulated white noise.

Copyright © 1975 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In