Nonstationary Narrow-Band Response and First-Passage Probability

[+] Author and Article Information
S. Krenk

Risö National Laboratory, DK-4000 Roskilde, Denmark

J. Appl. Mech 46(4), 919-924 (Dec 01, 1979) (6 pages) doi:10.1115/1.3424678 History: Received November 01, 1978; Revised April 01, 1979; Online July 12, 2010


The notion of a non-stationary narrow-band stochastic process is introduced without reference to a frequency spectrum, and the joint distribution function of two consecutive maxima is approximated by use of an envelope. Based on these definitions the first passage problem is treated as a Markov point process. The theory is applied to the response of a linear oscillator excited by a stationary process from t = 0, and a simple algebraic relation between the non-stationary and stationary correlation functions of the response is derived.

Copyright © 1979 by ASME
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