Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910902182215680 |
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| author | Cosserat, Oscar Marrec, Loïc Le |
| author_facet | Cosserat, Oscar Marrec, Loïc Le |
| contents | In the framework of Timoshenko beam, the material parameters are inherently prescribed on the material moving frame. In this regard, we derive the strong and weak formulations of the dynamics under finite transformation in Lagrangian coordinates. Accordingly, analytical mechanics tools are used to deduce a new Hamiltonian formulation of the model which proves to be remarkably simple and synthetic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures Cosserat, Oscar Marrec, Loïc Le Mathematical Physics 37K58, 37N15, 70H09 In the framework of Timoshenko beam, the material parameters are inherently prescribed on the material moving frame. In this regard, we derive the strong and weak formulations of the dynamics under finite transformation in Lagrangian coordinates. Accordingly, analytical mechanics tools are used to deduce a new Hamiltonian formulation of the model which proves to be remarkably simple and synthetic. |
| title | Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures |
| topic | Mathematical Physics 37K58, 37N15, 70H09 |
| url | https://arxiv.org/abs/2407.14453 |