Moving force identification based on modified preconditioned conjugate gradient method

Chen, Zhen and Chan, Tommy H. T. and Nguyen, Andy (2018) Moving force identification based on modified preconditioned conjugate gradient method. Journal of Sound and Vibration, 423 (2018). pp. 100-117. ISSN 0022-460X

Abstract

This paper develops a modified preconditioned conjugate gradient (M-PCG) method for moving force identification (MFI) by improving the conjugate gradient (CG) and preconditioned conjugate gradient (PCG) methods with a modified Gram-Schmidt algorithm. The method aims to obtain more accurate and more efficient identification results from the responses of bridge deck caused by vehicles passing by, which are known to be sensitive to ill-posed problems that exist in the inverse problem. A simply supported beam model with biaxial time-varying forces is used to generate numerical simulations with various analysis scenarios to assess the effectiveness of the method. Evaluation results show that regularization matrix L and number of iterations j are very important influence factors to identification accuracy and noise immunity of M-PCG. Compared with the conventional counterpart SVD embedded in the time domain method (TDM) and the standard form of CG, the M-PCG with proper regularization matrix has many advantages such as better adaptability and more robust to ill-posed problems. More importantly, it is shown that the average optimal numbers of iterations of M-PCG can be reduced by more than 70% compared with PCG and this apparently makes M-PCG a preferred choice for field MFI applications.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version embargoed until 1 April 2019 (12 months), in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying
Date Deposited: 03 Jul 2018 06:15
Last Modified: 21 Sep 2018 05:12
Uncontrolled Keywords: moving force identification; modified preconditioned conjugate gradient; time domain method; regularization matrix; number of iterations; modified Gram-Schmidt algorithm
Fields of Research : 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
Identification Number or DOI: 10.1016/j.jsv.2017.11.034
URI: http://eprints.usq.edu.au/id/eprint/34393

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