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Shock and Vibration
Volume 4, Issue 4, Pages 241-250

Narrow-Band Excitation of Hysteretic Systems

W.Q. Zhu,1 C.D. Huang,2 and T.T. Soong3

1Department of Mechanics, Zhejiang University, Hangzhau 310027, China
2Canton/Seinuk Group 219, East 42nd St., New York, NY 10017-5736, USA
3Department of Civil Engineering, State University of New York, at Buffalo, Buffalo, NY 14260, USA

Revised 28 August 1995

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The stationary response of smooth and bilinear hysteretic systems to narrow-band random excitations is investigated by using the quasistatic method and digital simulation. It is shown that the response is qualitatively different in different ranges of values of the ratio of the excitation central frequency to the natural frequency of the system. In the resonant zone, the response is essentially non-Gaussian. For bilinear hysteretic systems with strong yielding, stochastic jumps may occur for a range of values of the ratio between nonresonant and resonant zones.