Equivalent Viscous Damping for a Bilinear Hysteretic Oscillator
Publication: Journal of Engineering Mechanics
Volume 126, Issue 11
Abstract
A bilinear hysteretic model is commonly used to study elastoplastic structures. In this paper, a damped, bilinear hysteretic oscillator is studied under harmonic loading. We show the existence of an equivalent viscous damping for small values of a loading parameter such that the associated linear structure and the hysteretic structure have the same frequency response curves. We use the Kryloff-Bogoliuboff method of averaging to find the equivalent viscous damping as a function of the steady state amplitude. We present a model of a bilinear elastic oscillator which captures the steady-state dynamics of the hysteretic oscillator for low values of the loading parameter. We also study the nature of the dependence of the equivalent viscous damping on the kinematic hardening parameter.
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Published In
Journal of Engineering Mechanics
Volume 126 • Issue 11 • November 2000
Pages: 1189 - 1196
History
Received: May 17, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000
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