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Received: 2009-04-08

Revision Accepted: 2009-08-31

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.5 P.325-334

http://doi.org/10.1631/jzus.A0900155


Perturbation spectrum method for seismic analysis of non-classically damped systems


Author(s):  Wei Guo, Hong-nan Li, Zhen Guo

Affiliation(s):  State Key Laboratory of Coastal and Offshore Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China, Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   wei.guo.86@gmail.com

Key Words:  Seismic response, Non-classical damping, Perturbation technique, Response spectrum method, Forced decoupling method, Pseudo excitation


Wei Guo, Hong-nan Li, Zhen Guo. Perturbation spectrum method for seismic analysis of non-classically damped systems[J]. Journal of Zhejiang University Science A, 2010, 11(5): 325-334.

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%T Perturbation spectrum method for seismic analysis of non-classically damped systems
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%A Zhen Guo
%J Journal of Zhejiang University SCIENCE A
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%I Zhejiang University Press & Springer
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T1 - Perturbation spectrum method for seismic analysis of non-classically damped systems
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J0 - Journal of Zhejiang University Science A
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SP - 325
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0900155


Abstract: 
Fundamental principles from structural dynamics, random theory and perturbation methods are adopted to develop a new response spectrum combination rule for the seismic analysis of non-classically damped systems, such as structure-damper systems. The approach, which is named the perturbation spectrum method, can provide a more accurate evaluation of a non-classically damped system’s mean peak response in terms of the ground response spectrum. To account for the effect of non-classical damping, all elements are included in the proposed method for seismic analysis of structure, which is usually approximated by ignoring the off-diagonal elements of the modal damping matrix. Moreover, as has been adopted in the traditional Complete Quadratic Combination (CQC) method, the white noise model is also used to simplify the expressions of perturbation correlation coefficients. Finally, numerical work is performed to examine the accuracy of the proposed method by comparing the approximate results with exact ones and to demonstrate the importance of the neglected off-diagonal elements of the modal damping matrix. In the examined cases, the proposed method shows good agreement with direct time-history integration. Also, the perturbation spectrum method leads to a more efficient and economical calculation by avoiding the integral and complex operation.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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