Error Assessment for Spectral Representation Method in Random Field Simulation
Publication: Journal of Engineering Mechanics
Volume 138, Issue 6
Abstract
Random fields, such as the wind velocity field and the seismic ground motion field, are usually simulated by the spectral representation method (SRM). The SRM mainly relies on two methods: the random amplitudes method and the random phases method. However, the temporal statistics estimated from one SRM-simulated sample process differs from the target characteristics. Such differences can usually be assessed by the statistical errors, i. e., bias errors and stochastic errors. The closed-form solutions of statistical errors produced by random phases method have been given. This paper gives the closed-form solutions of statistical errors produced by the random phases methods and compares the statistical errors produced by both methods. The comparison of the stochastic errors of power spectral density functions produced by different methods demonstrates that (1) the random amplitudes method exhibits higher but more uniformly distributed stochastic errors than the random phases method; and (2) the stochastic errors produced by the random phases method are dependent on the decomposition method, whereas those produced by the random amplitudes method are not.
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Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grants 90815020, 50825901, and 50808067).
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Published In
Journal of Engineering Mechanics
Volume 138 • Issue 6 • June 2012
Pages: 711 - 715
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Jan 21, 2011
Accepted: Dec 12, 2011
Published online: Dec 14, 2011
Published in print: Jun 1, 2012
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