Conditional Simulation of Spatially Varying Multicomponent Nonstationary Ground Motions: Bias and Ill Condition
Publication: Journal of Engineering Mechanics
Volume 146, Issue 2
Abstract
The application of the spectral representation method to the conditional simulation of ground motions can break down because of nonconvergence in inverting the conditioning covariance matrix, and the time-averaged power spectral density (PSD) functions of simulated records can deviate significantly from the target PSD functions. These two issues are discussed and explained. A procedure is proposed to overcome the two observed drawbacks. Its application can result in a close approximation of the means of the PSD functions of the conditionally simulated nonstationary ground motions to those estimated from observed ground motions. The close approximation becomes equality if the stationary processes are considered.
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Acknowledgments
Financial support received from the Natural Science and Engineering Research Council of Canada and the University of Western Ontario is gratefully acknowledged. X. Z. Cui gratefully acknowledges the support of the China Scholarship Council (Grant No. 201707980007).
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Sep 24, 2018
Accepted: May 9, 2019
Published online: Dec 8, 2019
Published in print: Feb 1, 2020
Discussion open until: May 8, 2020
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