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Article Dans Une Revue Thin-Walled Structures Année : 2023

Exact solutions for the coupled warping beam problem

Résumé

Exact solutions for coupled warping beam problem are developed in the present paper. The torsion and shear warping problems are considered together, and three beam formulations are considered, regarding the influence of the bi-moment and bi-shear terms. In the first case, where the bi-moment and bi-shear terms are neglected, the exact solutions have a simple polynomial form. In the second and third cases, the exact solution have a more elaborate form, consisting of hyperbolic terms. The coupling between the modes results from the lack of symmetry of the cross-section and is captured in the exact solution for all modes.
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Dates et versions

hal-04066413 , version 1 (12-07-2023)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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M.V.B. Santana, M. Hjiaj, H. Somja. Exact solutions for the coupled warping beam problem. Thin-Walled Structures, 2023, 186, pp.110672. ⟨10.1016/j.tws.2023.110672⟩. ⟨hal-04066413⟩
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