On the First Excursion Probability in Stationary Narrow-Band Random Vibration

[+] Author and Article Information
J.-N. Yang

Applied Mechanics Section, Jet Propulsion Laboratory, Pasadena, Calif.

M. Shinozuka

Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, N. Y.

J. Appl. Mech 38(4), 1017-1022 (Dec 01, 1971) (6 pages) doi:10.1115/1.3408904 History: Received May 18, 1970; Revised October 23, 1970; Online July 12, 2010


Dealing with a stationary narrow-band Gaussian process X(t) with mean zero, this paper derives a number of approximate solutions on the basis of the point-process approach. In particular, upper and lower bounds sharper than those presently available are established, an approximation based on the Markov point process is obtained, and the clump size approach is also used for approximation. These approximations are checked with the result of the semisimulation performed by Crandall, et al. [11]. Some remarks are also made on the use of the principle of maximum entropy.

Copyright © 1971 by ASME
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