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First-Passage Time With Random Excitation of Time-Varying Mean

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
170
Issue
2
Identifiers
DOI: 10.1006/jsvi.1994.1057

Abstract

Abstract Approximate procedures for solving the first-passage time problem for a linear oscillator subjected to random excitation with a time-varying mean are presented. Numerical results are given for the example of the oscillator subjected to a model representing sonic boom excitation. These results are compared with results obtained from digital simulation. The methods are applicable for lightly damped (narrow-band) oscillators. To the author's knowledge, there is no previous work on oscillator first-passage time approximations where the excitation is assumed to have a time-varying mean.

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