A measure for the stability of structures immersed in a 2D laminar flow
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917633439301632 |
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| author | Bocchi, Edoardo Gazzola, Filippo |
| author_facet | Bocchi, Edoardo Gazzola, Filippo |
| contents | We introduce a new measure for the stability of structures, such as the cross-section of the deck of a suspension bridge, subject to a 2D fluid force, such as the lift exerted by a laminar wind. We consider a wide class of possible flows, as well as a wide class of structural shapes. Within a suitable topological framework, we prove the existence of an optimal shape maximizing the stability. Applications to engineering problems are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A measure for the stability of structures immersed in a 2D laminar flow Bocchi, Edoardo Gazzola, Filippo Analysis of PDEs 35Q35, 76D05, 74F10 We introduce a new measure for the stability of structures, such as the cross-section of the deck of a suspension bridge, subject to a 2D fluid force, such as the lift exerted by a laminar wind. We consider a wide class of possible flows, as well as a wide class of structural shapes. Within a suitable topological framework, we prove the existence of an optimal shape maximizing the stability. Applications to engineering problems are also discussed. |
| title | A measure for the stability of structures immersed in a 2D laminar flow |
| topic | Analysis of PDEs 35Q35, 76D05, 74F10 |
| url | https://arxiv.org/abs/2404.05314 |