Efficient Nonstationary Stochastic Response Analysis for Linear and Nonlinear Structures by FFT
Publication: Journal of Engineering Mechanics
Volume 145, Issue 5
Abstract
Based on the fast Fourier transform (FFT), an efficient and accurate algorithm was developed for improving the computational efficiency of structural responses under nonstationary stochastic excitations. In this method, the FFT technique was first adopted to accelerate the evaluation of time integration terms involving significant computational effort in the nonstationary stochastic response analysis of linear structures. Then, the proper orthogonal decomposition was used to assist the application of FFT for the generally modulated excitation by separating the frequency item of nonuniform modulation functions from the time integration terms. Further, the proposed method was extended to the nonstationary stochastic response analysis of nonlinear structures based on the equivalent statistical linearization method. Finally, numerical examples with respect to linear structures, Duffing systems, and hysteretic systems illustrated that the proposed method performs well.
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Acknowledgments
The support by the Youth Fund Program of Sichuan Province (Grant No. 2016JQ0005), National Natural Science Foundation of China (Grant No. 51578471), and 111 Project (Grant No. B18062) is greatly acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 5 • May 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Dec 23, 2017
Accepted: Oct 18, 2018
Published online: Feb 20, 2019
Published in print: May 1, 2019
Discussion open until: Jul 20, 2019
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