Toward efficacy of piecewise polynomial truncated singular value decomposition algorithm in moving force identification
Article
Chen, Zhen, Qin, Lifeng, Zhao, Shunbo, 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: an international journal. 22 (12), pp. 2687-2698. https://doi.org/10.1177/1369433219849817
| Article Title | Toward efficacy of piecewise polynomial truncated singular value decomposition algorithm in moving force identification |
|---|---|
| ERA Journal ID | 4147 |
| Article Category | Article |
| Authors | Chen, Zhen (Author), Qin, Lifeng (Author), Zhao, Shunbo (Author), Chan, Tommy H. T. (Author) and Nguyen, Andy (Author) |
| Journal Title | Advances in Structural Engineering: an international journal |
| Journal Citation | 22 (12), pp. 2687-2698 |
| Number of Pages | 12 |
| Year | 2019 |
| Publisher | SAGE Publications Ltd |
| Place of Publication | Thousand Oaks, CA, United States |
| ISSN | 1369-4332 |
| 2048-4011 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1177/1369433219849817 |
| 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. |
| Keywords | moving force identification, piecewise polynomial truncated singular value decomposition, ill-posedness, regularization matrix, truncating point |
| ANZSRC Field of Research 2020 | 400510. Structural engineering |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | North China University of Water Resources and Electric Power, China |
| Queensland University of Technology | |
| School of Civil Engineering and Surveying | |
| Institution of Origin | University of Southern Queensland |
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