Simulation of Spatially Varying Non-Gaussian and Nonstationary Seismic Ground Motions by the Spectral Representation Method
Publication: Journal of Engineering Mechanics
Volume 144, Issue 1
Abstract
Simulation of sample realizations of stochastic processes is the bedrock of the Monte Carlo method, and the accurate modeling of stochastic processes is crucial to determine realistic structural responses. For seismic ground motion, its nonstationary property and spatially variability are well known. Furthermore, its non-Gaussian feature has been observed in some works. It is then necessary to simulate spatially varying ground motions accounting for its nonstationary and non-Gaussian characteristics. For this purpose, a computational procedure is developed for the simulation of non-Gaussian nonstationary spatially varying ground motions based on the spectral representation method (SRM). Translation process theory for the nonstationary non-Gaussian vector process is first proposed. By applying the proposed translation process theory, an iterative scheme is developed to estimate the underlying Gaussian evolutionary power spectral density (EPSD) matrix. The resulting underlying Gaussian EPSD matrix is used to simulate the underlying Gaussian ground motion by the SRM, which is finally mapped to the desired non-Gaussian nonstationary spatially varying ground motions. The capabilities of the proposed procedure are demonstrated by a numerical example. The statistical properties of the simulated non-Gaussian ground motions are compared with those of the simulated Gaussian ground motions.
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Acknowledgments
The supports by the National Natural Science Foundation of China (Grant No. 41630638), National Key Basic Research Program of China (Grant No. 2015CB057901), National Key Research and Development Program of China (Grant No. 2016YFC0800205), and the 111 project (No. B13024) are greatly acknowledged. The first author would like to acknowledge the financial support from China Scholarship Council (CSC) for his 2-year visit to Columbia University under the hosting of Professor George Deodatis, and appreciate Professor Deodatis for his valuable comments in some parts of this work.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 1 • January 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Feb 12, 2017
Accepted: Jun 8, 2017
Published online: Oct 24, 2017
Published in print: Jan 1, 2018
Discussion open until: Mar 24, 2018
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