Equivalent Linearization for Hysteretic Systems Under Random Excitation

[+] Author and Article Information
Y. K. Wen

Department of Civil Engineering, University of Illinois at Urbana-Champaign, Urbana, Ill. 61801

J. Appl. Mech 47(1), 150-154 (Mar 01, 1980) (5 pages) doi:10.1115/1.3153594 History: Received September 01, 1978; Revised July 01, 1979; Online July 21, 2009


A method of equivalent linearization for smooth hysteretic systems under random excitation is proposed. The hysteretic restoring force is modeled by a nonlinear differential equation and the equation of motion is linearized directly in closed form without recourse to Krylov-Bogoliubov technique. Compared with previously proposed similar methods, the formulation of the present method is versatile and considerably simpler. The accuracy of this method is verified against Monte-Carlo simulation for all response levels. It has a great potential in the analysis of multidegree-of-freedom and degrading systems.

Copyright © 1980 by ASME
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