A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States
A form-finding method of tensegrity systems is a process of finding an equilibrium configuration and a key step in the design of tensegrity. Over the past few years, several studies have been made on the form-finding methods of tensegrity systems, however, these methods are limited in the tensegrity...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-01-01
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| Series: | Journal of Asian Architecture and Building Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3130/jaabe.16.155 |
| _version_ | 1797755633533976576 |
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| author | Seunghye Lee Jaehong Lee Joowon Kang |
| author_facet | Seunghye Lee Jaehong Lee Joowon Kang |
| author_sort | Seunghye Lee |
| collection | DOAJ |
| description | A form-finding method of tensegrity systems is a process of finding an equilibrium configuration and a key step in the design of tensegrity. Over the past few years, several studies have been made on the form-finding methods of tensegrity systems, however, these methods are limited in the tensegrity systems with multiple self-stress states. In this study, a numerical method is presented for form-finding of tensegrity structures with multiple states of self-stress by using a force density method combined with a genetic algorithm. The proposed method can design the desired tensegrity shape through a genetic algorithm with appropriate constraints. The design variable can be uniquely defined in the case of multiple states of self-stress using only the constraint of the member types. An eigenvalue decomposition of the force density matrix and a singular value decomposition of the equilibrium matrix are performed repeatedly in order to determine a feasible solution for nodal coordinates and force densities. A genetic algorithm is then adopted to uniquely define a single integral feasible set of force densities. Several numerical examples are presented to prove efficiency in searching for self-equilibrium configurations of tensegrity structures. In all cases, the single integral feasible self-stress states can be obtained. |
| first_indexed | 2024-03-12T17:49:59Z |
| format | Article |
| id | doaj.art-e2db578d58ee44edb53b2068b31a34dc |
| institution | Directory Open Access Journal |
| issn | 1347-2852 |
| language | English |
| last_indexed | 2024-03-12T17:49:59Z |
| publishDate | 2017-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Asian Architecture and Building Engineering |
| spelling | doaj.art-e2db578d58ee44edb53b2068b31a34dc2023-08-03T09:15:31ZengTaylor & Francis GroupJournal of Asian Architecture and Building Engineering1347-28522017-01-0116115516210.3130/jaabe.16.15512029071A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress StatesSeunghye Lee0Jaehong Lee1Joowon Kang2Sejong UniversitySejong UniversityYeungnam UniversityA form-finding method of tensegrity systems is a process of finding an equilibrium configuration and a key step in the design of tensegrity. Over the past few years, several studies have been made on the form-finding methods of tensegrity systems, however, these methods are limited in the tensegrity systems with multiple self-stress states. In this study, a numerical method is presented for form-finding of tensegrity structures with multiple states of self-stress by using a force density method combined with a genetic algorithm. The proposed method can design the desired tensegrity shape through a genetic algorithm with appropriate constraints. The design variable can be uniquely defined in the case of multiple states of self-stress using only the constraint of the member types. An eigenvalue decomposition of the force density matrix and a singular value decomposition of the equilibrium matrix are performed repeatedly in order to determine a feasible solution for nodal coordinates and force densities. A genetic algorithm is then adopted to uniquely define a single integral feasible set of force densities. Several numerical examples are presented to prove efficiency in searching for self-equilibrium configurations of tensegrity structures. In all cases, the single integral feasible self-stress states can be obtained.http://dx.doi.org/10.3130/jaabe.16.155tensegrity structureforce density methodform-findinggenetic algorithmself-stress state |
| spellingShingle | Seunghye Lee Jaehong Lee Joowon Kang A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States Journal of Asian Architecture and Building Engineering tensegrity structure force density method form-finding genetic algorithm self-stress state |
| title | A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States |
| title_full | A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States |
| title_fullStr | A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States |
| title_full_unstemmed | A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States |
| title_short | A Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress States |
| title_sort | genetic algorithm based form finding of tensegrity structures with multiple self stress states |
| topic | tensegrity structure force density method form-finding genetic algorithm self-stress state |
| url | http://dx.doi.org/10.3130/jaabe.16.155 |
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