Toward efficacy of piecewise polynomial truncated singular value decomposition algorithm in moving force identification

Chen, Zhen and Qin, Lifeng and Zhao, Shunbo and Chan, Tommy H. T. and Nguyen, Andy (2019) Toward efficacy of piecewise polynomial truncated singular value decomposition algorithm in moving force identification. Advances in Structural Engineering, 22 (12). pp. 2687-2698. ISSN 1369-4332

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Abstract

This paper introduces and evaluates the piecewise polynomial truncated singular value decomposition (PP-TSVD) algorithm toward an effective use for moving force identification (MFI). Suffering from numerical non-uniqueness and noise disturbance, the MFI is known to be associated with ill-posedness. An important method for solving this problem is the truncated singular value decomposition (TSVD) algorithm but the truncated small singular values removed by TSVD may contain some useful information. The PP-TSVD algorithm extracts the useful responses from truncated small singular values and superposes it into the solution of TSVD, which can be useful in MFI. In this paper, a comprehensive numerical simulation is set up to evaluate PP-TSVD, and compare this technique against TSVD and SVD. Numerically simulated data are processed to validate the novel method, which show that regularization matrix L and truncating point k are two most important governing factors affecting identification accuracy and ill-posedness immunity of PP-TSVD.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version deposited in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 July 2013 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 July 2013 -)
Date Deposited: 14 Oct 2019 06:54
Last Modified: 21 Nov 2019 05:48
Uncontrolled Keywords: moving force identification, piecewise polynomial truncated singular value decomposition, ill-posedness, regularization matrix, truncating point
Fields of Research : 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
Identification Number or DOI: 10.1177/1369433219849817
URI: http://eprints.usq.edu.au/id/eprint/36964

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