A Structure Topology Optimization With the First-Order Saddlepoint Approximation
In practical engineering, uncertain loads usually cause the variations of structure stiffness to affect the security of the structure. To enhance the reliability and find the optimum structure in engineering, a topology optimization method is developed for the optimization of structural stiffness in...
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| Online Access: | https://ieeexplore.ieee.org/document/8756080/ |
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doaj-48a7092eeb2643aa9facac032b0934642021-04-05T17:26:28ZengIEEEIEEE Access2169-35362019-01-017981749818110.1109/ACCESS.2019.29271418756080A Structure Topology Optimization With the First-Order Saddlepoint ApproximationDongyan Shi0Hui Ma1https://orcid.org/0000-0002-8510-9579Xiaoyan Teng2https://orcid.org/0000-0001-6953-4463College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, ChinaCollege of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, ChinaCollege of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, ChinaIn practical engineering, uncertain loads usually cause the variations of structure stiffness to affect the security of the structure. To enhance the reliability and find the optimum structure in engineering, a topology optimization method is developed for the optimization of structural stiffness in this paper. The first-order saddle point approximation method is introduced into the topology optimization process. A multi-constrained stiffness optimization model considering uncertain loads is proposed. The corresponding sensitivity mathematical formula for stiffness is also given. The complete optimization iteration process is given. The structural stiffness optimization problems with the joint constraints of volume and displacement are solved here to illustrate the application of the proposed method. In the examples, a U-shape groove in different working situations is considered which includes the single node displacement constraint and the multi-node displacement constraint. The corresponding optimization results of different working situations are compared, and the results accord with the law of engineering.https://ieeexplore.ieee.org/document/8756080/First-order saddle point approximation methodmulti-constrained optimization modelstructure stiffnesstopology optimizationuncertainty |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dongyan Shi Hui Ma Xiaoyan Teng |
| spellingShingle |
Dongyan Shi Hui Ma Xiaoyan Teng A Structure Topology Optimization With the First-Order Saddlepoint Approximation IEEE Access First-order saddle point approximation method multi-constrained optimization model structure stiffness topology optimization uncertainty |
| author_facet |
Dongyan Shi Hui Ma Xiaoyan Teng |
| author_sort |
Dongyan Shi |
| title |
A Structure Topology Optimization With the First-Order Saddlepoint Approximation |
| title_short |
A Structure Topology Optimization With the First-Order Saddlepoint Approximation |
| title_full |
A Structure Topology Optimization With the First-Order Saddlepoint Approximation |
| title_fullStr |
A Structure Topology Optimization With the First-Order Saddlepoint Approximation |
| title_full_unstemmed |
A Structure Topology Optimization With the First-Order Saddlepoint Approximation |
| title_sort |
structure topology optimization with the first-order saddlepoint approximation |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2019-01-01 |
| description |
In practical engineering, uncertain loads usually cause the variations of structure stiffness to affect the security of the structure. To enhance the reliability and find the optimum structure in engineering, a topology optimization method is developed for the optimization of structural stiffness in this paper. The first-order saddle point approximation method is introduced into the topology optimization process. A multi-constrained stiffness optimization model considering uncertain loads is proposed. The corresponding sensitivity mathematical formula for stiffness is also given. The complete optimization iteration process is given. The structural stiffness optimization problems with the joint constraints of volume and displacement are solved here to illustrate the application of the proposed method. In the examples, a U-shape groove in different working situations is considered which includes the single node displacement constraint and the multi-node displacement constraint. The corresponding optimization results of different working situations are compared, and the results accord with the law of engineering. |
| topic |
First-order saddle point approximation method multi-constrained optimization model structure stiffness topology optimization uncertainty |
| url |
https://ieeexplore.ieee.org/document/8756080/ |
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AT dongyanshi astructuretopologyoptimizationwiththefirstordersaddlepointapproximation AT huima astructuretopologyoptimizationwiththefirstordersaddlepointapproximation AT xiaoyanteng astructuretopologyoptimizationwiththefirstordersaddlepointapproximation AT dongyanshi structuretopologyoptimizationwiththefirstordersaddlepointapproximation AT huima structuretopologyoptimizationwiththefirstordersaddlepointapproximation AT xiaoyanteng structuretopologyoptimizationwiththefirstordersaddlepointapproximation |
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