Oscillator Response to Nonstationary Excitation

[+] Author and Article Information
G. P. Solomos

Athens, Greece

P-T. D. Spanos

Department of Civil Engineering and Mechanical Engineering, Rice University, P.O. Box 1892, Houston, Texas 77251

J. Appl. Mech 51(4), 907-912 (Dec 01, 1984) (6 pages) doi:10.1115/1.3167745 History: Received October 01, 1983; Revised April 01, 1984; Online July 21, 2009


Analytical solutions are presented regarding probability density distributions of various response parameters of a lightly damped oscillator. The oscillator is subjected to a broad-band stochastic excitation which possesses a time-variant power spectrum. The analytical solutions are derived by utilizing appropriate Fokker-Planck equations which govern Markovian approximations of the response parameters considered. The reliability of the approximate analytical solution is tested by using pertinent data generated by a digital Monte Carlo study.

Copyright © 1984 by ASME
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