Design and Stability of a family of deployable structures
A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabilized by tuning the material properties of each rod. To model this structure and study its stability, we show that the e...
| Main Authors: | , |
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| Format: | Journal article |
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Society for Industrial and Applied Mathematics
2016
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| _version_ | 1826269760706314240 |
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| author | Goriely, A Lessinnes, T |
| author_facet | Goriely, A Lessinnes, T |
| author_sort | Goriely, A |
| collection | OXFORD |
| description | A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabilized by tuning the material properties of each rod. To model this structure and study its stability, we show that the equilibrium equations describing unloaded states can be derived from a variational principle. We then use a novel geometric method to study the stability of the resulting equilibria. As an example we apply the theory to establish the stability of all possible equilibria of the Bristol ladder. |
| first_indexed | 2024-03-06T21:30:10Z |
| format | Journal article |
| id | oxford-uuid:446ebf0f-0315-4fea-a34a-849edccee31d |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:30:10Z |
| publishDate | 2016 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:446ebf0f-0315-4fea-a34a-849edccee31d2022-03-26T15:01:27ZDesign and Stability of a family of deployable structuresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:446ebf0f-0315-4fea-a34a-849edccee31dSymplectic Elements at OxfordSociety for Industrial and Applied Mathematics2016Goriely, ALessinnes, TA large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabilized by tuning the material properties of each rod. To model this structure and study its stability, we show that the equilibrium equations describing unloaded states can be derived from a variational principle. We then use a novel geometric method to study the stability of the resulting equilibria. As an example we apply the theory to establish the stability of all possible equilibria of the Bristol ladder. |
| spellingShingle | Goriely, A Lessinnes, T Design and Stability of a family of deployable structures |
| title | Design and Stability of a family of deployable structures |
| title_full | Design and Stability of a family of deployable structures |
| title_fullStr | Design and Stability of a family of deployable structures |
| title_full_unstemmed | Design and Stability of a family of deployable structures |
| title_short | Design and Stability of a family of deployable structures |
| title_sort | design and stability of a family of deployable structures |
| work_keys_str_mv | AT gorielya designandstabilityofafamilyofdeployablestructures AT lessinnest designandstabilityofafamilyofdeployablestructures |