Draping woven sheets
Motivated by the manufacture of carbon fibre components, this paper considers the smooth draping of loosely woven fabric over rigid obstacles, both smooth and nonsmooth. The draped fabric is modelled as the continuum limit of a Chebyshev net of two families of short rigid rods that are freely pivote...
| Những tác giả chính: | , , |
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
| Được phát hành: |
Cambridge University Press
2021
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| _version_ | 1826288518113001472 |
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| author | Howell, PD Ockendon, H Ockendon, JR |
| author_facet | Howell, PD Ockendon, H Ockendon, JR |
| author_sort | Howell, PD |
| collection | OXFORD |
| description | Motivated by the manufacture of carbon fibre components, this paper considers the smooth draping of loosely woven fabric over rigid obstacles, both smooth and nonsmooth. The draped fabric is modelled as the continuum limit of a Chebyshev net of two families of short rigid rods that are freely pivoted at their joints. This approach results in a system of nonlinear hyperbolic partial differential equations whose characteristics are the fibres in the fabric. The analysis of this system gives useful information about the drapability of obstacles of many shapes and also poses interesting theoretical questions concerning well-posedness, smoothness and computability of the solutions. |
| first_indexed | 2024-03-07T02:14:54Z |
| format | Journal article |
| id | oxford-uuid:a1e3566f-3f16-42b0-8e2c-ffae880ed7f6 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:14:54Z |
| publishDate | 2021 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:a1e3566f-3f16-42b0-8e2c-ffae880ed7f62022-03-27T02:16:24ZDraping woven sheetsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a1e3566f-3f16-42b0-8e2c-ffae880ed7f6EnglishSymplectic ElementsCambridge University Press2021Howell, PDOckendon, HOckendon, JRMotivated by the manufacture of carbon fibre components, this paper considers the smooth draping of loosely woven fabric over rigid obstacles, both smooth and nonsmooth. The draped fabric is modelled as the continuum limit of a Chebyshev net of two families of short rigid rods that are freely pivoted at their joints. This approach results in a system of nonlinear hyperbolic partial differential equations whose characteristics are the fibres in the fabric. The analysis of this system gives useful information about the drapability of obstacles of many shapes and also poses interesting theoretical questions concerning well-posedness, smoothness and computability of the solutions. |
| spellingShingle | Howell, PD Ockendon, H Ockendon, JR Draping woven sheets |
| title | Draping woven sheets |
| title_full | Draping woven sheets |
| title_fullStr | Draping woven sheets |
| title_full_unstemmed | Draping woven sheets |
| title_short | Draping woven sheets |
| title_sort | draping woven sheets |
| work_keys_str_mv | AT howellpd drapingwovensheets AT ockendonh drapingwovensheets AT ockendonjr drapingwovensheets |