The Response of an Oscillator With Bilinear Hysteresis to Stationary Random Excitation

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

School of Engineering and Applied Sciences, University of Sussex, Falmer, Brighton BN1 9QT, England

J. Appl. Mech 45(4), 923-928 (Dec 01, 1978) (6 pages) doi:10.1115/1.3424442 History: Received May 01, 1978; Revised August 01, 1978; Online July 12, 2010


By applying the technique of stochastic averaging, a simple analytical result is obtained for the joint distribution of the displacement and velocity of a bilinear oscillator excited by a stationary random process. A comparison of theoretical results deduced from this distribution with corresponding digital simulation results shows that the theory is accurate in circumstances where the response is narrow-band in nature.

Copyright © 1978 by ASME
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