A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique
The sensitivity reanalysis technique is an important tool for selecting the search direction in structural optimization design. Based on the decomposition perturbation of the flexibility matrix, a fast and exact structural displacement sensitivity reanalysis method is proposed in this work. For this...
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| Format: | Article |
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MDPI AG
2023-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/2/179 |
| _version_ | 1797622335436488704 |
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| author | Qiuwei Yang Xi Peng |
| author_facet | Qiuwei Yang Xi Peng |
| author_sort | Qiuwei Yang |
| collection | DOAJ |
| description | The sensitivity reanalysis technique is an important tool for selecting the search direction in structural optimization design. Based on the decomposition perturbation of the flexibility matrix, a fast and exact structural displacement sensitivity reanalysis method is proposed in this work. For this purpose, the direct formulas for computing the first-order and second-order sensitivities of structural displacements are derived. The algorithm can be applied to a variety of the modifications in optimal design, including the low-rank modifications, high-rank modifications, small modifications and large modifications. Two numerical examples are given to verify the effectiveness of the proposed approach. The results show that the presented algorithm is exact and effective. Compared with the existing two reanalysis methods, this method has obvious advantages in calculation accuracy and efficiency. This new algorithm is very useful for calculating displacement sensitivity in engineering problems such as structure optimization, model correction and defect detection. |
| first_indexed | 2024-03-11T09:09:48Z |
| format | Article |
| id | doaj.art-3d8b382dc5cf46da87a36e52d1cd2775 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T09:09:48Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-3d8b382dc5cf46da87a36e52d1cd27752023-11-16T19:06:23ZengMDPI AGAxioms2075-16802023-02-0112217910.3390/axioms12020179A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition TechniqueQiuwei Yang0Xi Peng1School of Civil and Transportation Engineering, Ningbo University of Technology, Ningbo 315211, ChinaSchool of Civil and Transportation Engineering, Ningbo University of Technology, Ningbo 315211, ChinaThe sensitivity reanalysis technique is an important tool for selecting the search direction in structural optimization design. Based on the decomposition perturbation of the flexibility matrix, a fast and exact structural displacement sensitivity reanalysis method is proposed in this work. For this purpose, the direct formulas for computing the first-order and second-order sensitivities of structural displacements are derived. The algorithm can be applied to a variety of the modifications in optimal design, including the low-rank modifications, high-rank modifications, small modifications and large modifications. Two numerical examples are given to verify the effectiveness of the proposed approach. The results show that the presented algorithm is exact and effective. Compared with the existing two reanalysis methods, this method has obvious advantages in calculation accuracy and efficiency. This new algorithm is very useful for calculating displacement sensitivity in engineering problems such as structure optimization, model correction and defect detection.https://www.mdpi.com/2075-1680/12/2/179sensitivity reanalysisflexibility matrixdisassembly perturbationstructural displacementexact method |
| spellingShingle | Qiuwei Yang Xi Peng A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique Axioms sensitivity reanalysis flexibility matrix disassembly perturbation structural displacement exact method |
| title | A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique |
| title_full | A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique |
| title_fullStr | A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique |
| title_full_unstemmed | A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique |
| title_short | A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique |
| title_sort | fast calculation method for sensitivity analysis using matrix decomposition technique |
| topic | sensitivity reanalysis flexibility matrix disassembly perturbation structural displacement exact method |
| url | https://www.mdpi.com/2075-1680/12/2/179 |
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