Prestress Design of Tensegrity Structures Using Semidefinite Programming
Finding appropriate prestresses which can stabilize the system is a key step in the design of tensegrity structures. A semidefinite programming- (SDP-) based approach is developed in this paper to determine appropriate prestresses for tensegrity structures. Three different stability criteria of tens...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/5081463 |
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| _version_ | 1832560952270127104 |
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| author | Yafeng Wang Xian Xu |
| author_facet | Yafeng Wang Xian Xu |
| author_sort | Yafeng Wang |
| collection | DOAJ |
| description | Finding appropriate prestresses which can stabilize the system is a key step in the design of tensegrity structures. A semidefinite programming- (SDP-) based approach is developed in this paper to determine appropriate prestresses for tensegrity structures. Three different stability criteria of tensegrity structures are considered in the proposed approach. Besides, the unilateral property of members and the evenness of internal forces are taken into account. The stiffness of the whole system can also be optimized by maximizing the minimum eigenvalue of the tangent stiffness matrix. Deterministic algorithms are used to solve the semidefinite programming problem in polynomial time. The applicability of the proposed approach is verified by three typical examples. Compared to previous stochastic-based approaches, the global optimality of the solution of the proposed approach is theoretically guaranteed and the solution is exactly reproducible. |
| format | Article |
| id | doaj-art-79aca85847794edba6bc496a2e0b4a37 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-79aca85847794edba6bc496a2e0b4a372025-02-03T01:26:20ZengWileyAdvances in Civil Engineering1687-80861687-80942019-01-01201910.1155/2019/50814635081463Prestress Design of Tensegrity Structures Using Semidefinite ProgrammingYafeng Wang0Xian Xu1Doctoral Candidate, Department of Civil Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, Zhejiang 310058, ChinaAssociate Professor, Department of Civil Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, Zhejiang 310058, ChinaFinding appropriate prestresses which can stabilize the system is a key step in the design of tensegrity structures. A semidefinite programming- (SDP-) based approach is developed in this paper to determine appropriate prestresses for tensegrity structures. Three different stability criteria of tensegrity structures are considered in the proposed approach. Besides, the unilateral property of members and the evenness of internal forces are taken into account. The stiffness of the whole system can also be optimized by maximizing the minimum eigenvalue of the tangent stiffness matrix. Deterministic algorithms are used to solve the semidefinite programming problem in polynomial time. The applicability of the proposed approach is verified by three typical examples. Compared to previous stochastic-based approaches, the global optimality of the solution of the proposed approach is theoretically guaranteed and the solution is exactly reproducible.http://dx.doi.org/10.1155/2019/5081463 |
| spellingShingle | Yafeng Wang Xian Xu Prestress Design of Tensegrity Structures Using Semidefinite Programming Advances in Civil Engineering |
| title | Prestress Design of Tensegrity Structures Using Semidefinite Programming |
| title_full | Prestress Design of Tensegrity Structures Using Semidefinite Programming |
| title_fullStr | Prestress Design of Tensegrity Structures Using Semidefinite Programming |
| title_full_unstemmed | Prestress Design of Tensegrity Structures Using Semidefinite Programming |
| title_short | Prestress Design of Tensegrity Structures Using Semidefinite Programming |
| title_sort | prestress design of tensegrity structures using semidefinite programming |
| url | http://dx.doi.org/10.1155/2019/5081463 |
| work_keys_str_mv | AT yafengwang prestressdesignoftensegritystructuresusingsemidefiniteprogramming AT xianxu prestressdesignoftensegritystructuresusingsemidefiniteprogramming |