The dynamics of Cosserat nets
A formulation of the dynamics of a collection of connected simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03110224 |
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| _version_ | 1832551643431829504 |
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| author | J. Gratus R. W. Tucker |
| author_facet | J. Gratus R. W. Tucker |
| author_sort | J. Gratus |
| collection | DOAJ |
| description | A formulation of the dynamics of a collection of connected
simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion
and junction conditions are derived as extrema of a constrained variational principle on the net and are analysed perturbatively for structures with Kirchhoff constitutive properties. The whole discussion is based on the notion of a Cosserat net and its contractions obtained by taking certain limits that transform Cosserat elements to rigid structures. Generalisations are
briefly discussed within this framework. |
| format | Article |
| id | doaj-art-f14d91489792466289c254b3df426ea7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f14d91489792466289c254b3df426ea72025-02-03T06:01:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-012003418722610.1155/S1110757X03110224The dynamics of Cosserat netsJ. Gratus0R. W. Tucker1Department of Physics, Lancaster University, Bailrigg, Lancaster LA 4YB, UKDepartment of Physics, Lancaster University, Bailrigg, Lancaster LA 4YB, UKA formulation of the dynamics of a collection of connected simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion and junction conditions are derived as extrema of a constrained variational principle on the net and are analysed perturbatively for structures with Kirchhoff constitutive properties. The whole discussion is based on the notion of a Cosserat net and its contractions obtained by taking certain limits that transform Cosserat elements to rigid structures. Generalisations are briefly discussed within this framework.http://dx.doi.org/10.1155/S1110757X03110224 |
| spellingShingle | J. Gratus R. W. Tucker The dynamics of Cosserat nets Journal of Applied Mathematics |
| title | The dynamics of Cosserat nets |
| title_full | The dynamics of Cosserat nets |
| title_fullStr | The dynamics of Cosserat nets |
| title_full_unstemmed | The dynamics of Cosserat nets |
| title_short | The dynamics of Cosserat nets |
| title_sort | dynamics of cosserat nets |
| url | http://dx.doi.org/10.1155/S1110757X03110224 |
| work_keys_str_mv | AT jgratus thedynamicsofcosseratnets AT rwtucker thedynamicsofcosseratnets AT jgratus dynamicsofcosseratnets AT rwtucker dynamicsofcosseratnets |