Response Spectral Characteristics and Reliabilities of Linear Structures to Both Intensity and Frequency Content Time-Varying Earthquake Loads
Publication: Journal of Structural Engineering
Volume 138, Issue 12
Abstract
A numerical method for estimating the useful spectral characteristics of responses of classically damped linear elastic structures to the Yeh-Wen model of fully nonstationary random earthquake loads is developed. The derivation of the method is carried out in three steps. First, the stationary Gaussian white noise process in the space of a frequency modulation function is transformed to the uniformly modulated Gaussian white noise process in the time space. Second, the numerical computation procedure for the unit impulse response functions in the time domain of the Clough-Penzien filters modified in the space of a frequency modulation function is proposed. Finally, the numerical solutions for the useful spectral characteristics of responses of linear structures to the Yeh-Wen model are given, from which the first-passage reliability problem can be solved by using Vanmarcke’s approximation. Numerical investigation of a simple oscillator shows the effect of the frequency modulation functions on the numerical results and computational efficiency of the developed method. The numerical analysis of the spectral characteristics and first-passage probabilities of a response of a supertall television tower demonstrates how to implement the numerical method in practical applications.
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Acknowledgments
The present work has been supported by the grants of the Shanghai Municipal Natural Science Foundation of China (Grant No. 09ZR141300) and National High-Tech R&D Program of China (Grant No. 2009AA04Z420), which are gratefully acknowledged.
The author would like to thank Professor Ni Y. Q. in the department of Civil and Structural Engineering, Hong Kong Polytechnic Univ., for his help in providing the reduced 3D FE model of the Guangzhou New TV Tower. Finally, the anonymous reviewers are gratefully acknowledged for their constructive criticism of the original version of the paper.
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 138 • Issue 12 • December 2012
Pages: 1492 - 1504
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Jun 14, 2011
Accepted: Mar 2, 2012
Published online: Mar 6, 2012
Published in print: Dec 1, 2012
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