Equivalent Viscous Damping of Bilinear Hysteretic Oscillators
Publication: Journal of Structural Engineering
Volume 141, Issue 11
Abstract
An improved formula to determine the equivalent viscous damping ratio of a single-degree-of-freedom (SDOF) bilinear oscillator is proposed in this paper, which simultaneously considers the influence of the initial period, ductility ratio, and strain hardening ratio. A large number of parameters are considered in order to present comprehensive results. Based on the assumption of secant stiffness, several equivalent linearization approaches are evaluated through parametric analyses. Then, optimization analyses are performed using a genetic algorithm to identify the variation trend of optimal damping ratios. A new formula of an equivalent viscous damping ratio is proposed by nonlinear regression analyses of the optimal damping ratios. Finally, the proposed approach is validated and the results show that the proposed approach leads to better estimates of maximum inelastic displacement response in the entire parameter space considered in this study when compared with other equivalent linearization approaches.
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Published In
Journal of Structural Engineering
Volume 141 • Issue 11 • November 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jan 14, 2014
Accepted: Jan 6, 2015
Published online: Feb 13, 2015
Discussion open until: Jul 13, 2015
Published in print: Nov 1, 2015
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