Tail-Equivalent Linearization of Inelastic Multisupport Structures Subjected to Spatially Varying Stochastic Ground Motion
Publication: Journal of Engineering Mechanics
Volume 142, Issue 8
Abstract
After a brief review of time- and frequency-domain tail-equivalent linearization methods (TELM) for uniform excitation problems, this paper extends TELM for application to nonlinear systems subjected to multisupport seismic excitations. The spatial variability of the ground motion is represented by a coherency function that characterizes the incoherence, wave-passage, and site-response effects. It is found that for multisupport excitation problems, it is most convenient to formulate TELM by using the ground displacement as input. The resulting tail-equivalent linear system (TELS) is defined by frequency-response functions relating the response quantity of interest to each support displacement. A method to reduce the number of random variables in the TELM analysis is introduced. The proposed method is demonstrated through numerical examples with varying structural properties and ground motion coherency in order to investigate various aspects of TELM and the major influences of differential support motions on a nonlinear system.
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Acknowledgments
The first author is supported by the National Basic Research Program of China (973 program; Grant No. 2011CB013605-5) and the Program for Changjiang Scholars and Innovative Research Team for the research group of Professor Zhishan Li at Guangzhou University (Grant No. IRT13057). This support is gratefully acknowledged. The first author also wishes to acknowledge his supervisor, Professor Qiao Li, for his continuous encouragement and support.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 8 • August 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 16, 2015
Accepted: Mar 1, 2016
Published online: Apr 19, 2016
Published in print: Aug 1, 2016
Discussion open until: Sep 19, 2016
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