Conditional Simulation of Nonstationary Fluctuating Wind Speeds for Long-Span Bridges
Publication: Journal of Engineering Mechanics
Volume 140, Issue 1
Abstract
This paper presents a computationally efficient method for the conditional simulation of nonstationary fluctuating wind speeds for the buffeting analysis of long-span bridges. The fluctuating wind speeds, with part of their time histories measured at some points, are regarded as a zero-mean nonstationary Gaussian vector process characterized by an evolutionary power spectral density (EPSD) matrix. The Kriging method is then applied to the random vector of the Fourier coefficients of the evolutionary vector process for conditional simulation. A mathematical proof of this conditional simulation is provided. A fast algorithm of the conditional simulation is further derived, by converting the Cholesky decomposition of a large size covariance matrix of the Fourier coefficients into the Cholesky decomposition of a series of small-size coherence matrices with much less computational time. The procedure for implementing the fast algorithm-based conditional simulation method is detailed. Finally, this method is applied for the conditional simulation of typhoon-induced nonstationary wind speed time histories for the buffeting analysis of Stonecutters Bridge in Hong Kong. The time domain buffeting responses of the bridge obtained using the conditionally simulated wind speed time histories indicate that the proposed simulation method is feasible and applicable.
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Acknowledgments
The writers acknowledge the financial support provided by the Research Grants Council of Hong Kong (PolyU 5304/11E), Hong Kong Polytechnic University (PolyU 1-BB20), the National Natural Science Foundation of China (NSFC-50830203), and the U.S. National Science Foundation (CMMI 0928282). The support from the Highways Department of Hong Kong to allow the writers to access the field measurement data for academic purpose only is particularly appreciated. Any opinions and conclusions presented here do not necessarily represent the sponsors' viewpoints.
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Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 1 • January 2014
Pages: 61 - 73
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 8, 2012
Accepted: Dec 20, 2012
Published online: Dec 22, 2012
Published in print: Jan 1, 2014
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