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	Response spectrum analysis for non-classically damped linear system with multiple-support excitations
	Zhou XY(周锡元)
中文摘要	A new response spectrum method, which is named complex multiple-support response spectrum (CMSRS) method in this article, is developed for seismic analysis of non-classically damped linear system subjected to spatially varying multiple-supported 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 cross-correlation coefficients or cross covariance especially for the non-classically damped linear structures with multiple-supports 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 non-classically damped structures in consideration of the coherences of spatially variable ground motion. The results show that for non-classically damped structure, the cross terms representing the cross covariance between the pseudo-static 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 off-diagonal elements in transformed damping matrix in modal coordinates in order to make the concerned non-classically damped structure to become remaining proportional damping property will bring some errors in the case of subjected to spatially excited inhomogeneous ground motion. © 2007 Springer Science+Business Media B.V.
原文出处	http://dlib.edu.cnki.net/kns50/download.aspx?filename=rlmb2hVMQVTUXlzLBNVYlN2Qi9yVvR2L50GWhlVZRZmUtVDejNzKFd0Tyd3UldzcZBFcyskbQl3TQ50RmVFNstEaSFlePFXd1VTaSRGeqV2QLlmdqZEathUN3tkcYdFW3AjaI9SVGlTROR2R4Ejdp50Y2d3NWRWS&tablename=CJFD2009&dflag=pdfdown 全文链接
内容类型	期刊论文
源URL
专题	北京工业大学
推荐引用方式 GB/T 7714	Zhou XY. Response spectrum analysis for non-classically damped linear system with multiple-support excitations[J].
APA	周锡元.
MLA	周锡元."Response spectrum analysis for non-classically damped linear system with multiple-support excitations".

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