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Coherency matrix-based proper orthogonal decomposition with application to wind field simulation

Hu Liang (胡亮) , Li Li (李黎) , Fan Jian (樊剑) and Fang Qinhan (方秦汉)

School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China

Abstract: Proper Orthogonal Decomposition (POD) provides a powerful modal transformation tool for stochastic dynamics. In this paper, coherency matrix-based proper orthogonal decomposition (CPOD) is presented as an innovative form of the POD based on cross power spectral density matrices. By introducing a discretizing scheme, the CPOD-based spectral representation method is obtained for use in stochastic simulation. Moreover, some criteria are proposed that allow the truncation order of CPOD to be conveniently determined. A numerical example to illustrate the application of the proposed method for the simulation of a wind velocity field is provided.

Keywords: Proper Orthogonal Decomposition; coherency matrices; order determination criteria; wind field simulation

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Copyright 2009 IEM. Journal of Earthquake Engineering and Engineering Vibration. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as described below, without written permission from the Publisher. Copying of articles is not permitted except for personal and internal use, to the extent permitted by national copyright law, or under the terms of a license issued by the National Reproduction Rights Organization of China.