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Title of Journal: Bull Earthquake Eng

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Abbravation: Bulletin of Earthquake Engineering

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Springer Netherlands

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1573-1456

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Response spectrum analysis for nonclassically dam

Authors: RuiFang Yu XiYuan Zhou
Publish Date: 2007/09/28
Volume: 6, Issue: 2, Pages: 261-284
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Abstract

A new response spectrum method which is named complex multiplesupport response spectrum CMSRS method in this article is developed for seismic analysis of nonclassically damped linear system subjected to spatially varying multiplesupported ground motion The CMSRS method is based on fundamental principles of random vibration theory and properly accounts for the effect of correlation between the support motions as well as between the modal displacement and velocity responses of structure and provides an reasonable and acceptable estimate of the peak response in term of peak seismic ground motions and response spectra at the support points and the coherency function Meanwhile three new crosscorrelation coefficients or cross covariance especially for the nonclassically damped linear structures with multiplesupports excitations are derived under the same assumptions of the MSRS method of classically damped system The CMSRS method is examined and compared to the results of time history analyses in two numerical examples of nonclassically damped structures in consideration of the coherences of spatially variable ground motion The results show that for nonclassically damped structure the cross terms representing the cross covariance between the pseudostatic and dynamic component are also quite small just as same as classically damped system In addition it is found that the usual way of neglecting all the offdiagonal elements in transformed damping matrix in modal coordinates in order to make the concerned nonclassically damped structure to become remaining proportional damping property will bring some errors in the case of subjected to spatially excited inhomogeneous ground motion

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