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Stability of the time‐domain analysis method including a frequency‐dependent soil–foundation system
Authors:Alex Duarte Laudon  Oh‐Sung Kwon  Amir Reza Ghaemmaghami
Institution:1. Department of Civil Engineering, University of Toronto, Toronto, Canada;2. Department of Civil Engineering, Ryerson University, Toronto, Canada
Abstract:A number of methods have been proposed that utilize the time‐domain transformations of frequency‐dependent dynamic impedance functions to perform a time‐history analysis. Though these methods have been available in literature for a number of years, the methods exhibit stability issues depending on how the model parameters are calibrated. In this study, a novel method is proposed with which the stability of a numerical integration scheme combined with time‐domain representation of a frequency‐dependent dynamic impedance function can be evaluated. The method is verified with three independent recursive parameter models. The proposed method is expected to be a useful tool in evaluating the potential stability issue of a time‐domain analysis before running a full‐fledged nonlinear time‐domain analysis of a soil–structure system in which the dynamic impedance of a soil–foundation system is represented with a recursive parameter model. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:soil–  structure interaction  time‐domain analysis  frequency‐domain analysis
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