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Modelisation des poutres a parois minces soumises a la torsion mixte
Thin walled metallic structures are widely used. They can offer an optimal weight strength ratio, but their design is complicated because of the importance of stresses and deformations caused by torsion and warping. Earlier, it was unusual to check the influence of torsion on load carrying structural elements. The continuously growing accuracy of numerical methods helps to reduce the uncertainties associated with the structural modelling and contributes to the use of thin walled cross-sections. Different theories, which differ significantly for open and closed sections, have been established to study the behavior of thin walled beams. This paper presents a unified finite element formulation for the analysis of three-dimensional thin walled beams with arbitrary both open and closed cross sections. The theory, derived from Prokic's work (6-9), presents a new warping function valid for arbitrary cross-sections without neglecting the shear strains in the mean surface of the thin wall (contrary to Vlassov assumptions). The performance of this formulation is evaluated by comparing solutions of problems with De Saint-Venant, Vlassov and Benscoter theories.
Modelisation des poutres a parois minces soumises a la torsion mixte
Thin walled metallic structures are widely used. They can offer an optimal weight strength ratio, but their design is complicated because of the importance of stresses and deformations caused by torsion and warping. Earlier, it was unusual to check the influence of torsion on load carrying structural elements. The continuously growing accuracy of numerical methods helps to reduce the uncertainties associated with the structural modelling and contributes to the use of thin walled cross-sections. Different theories, which differ significantly for open and closed sections, have been established to study the behavior of thin walled beams. This paper presents a unified finite element formulation for the analysis of three-dimensional thin walled beams with arbitrary both open and closed cross sections. The theory, derived from Prokic's work (6-9), presents a new warping function valid for arbitrary cross-sections without neglecting the shear strains in the mean surface of the thin wall (contrary to Vlassov assumptions). The performance of this formulation is evaluated by comparing solutions of problems with De Saint-Venant, Vlassov and Benscoter theories.
Modelisation des poutres a parois minces soumises a la torsion mixte
Modeling of beams with thin walls subjected to mixed twisting
Saade, K. (author) / Espion, B. (author) / Warzee, G. (author)
European Journal of Mechanical and Environmental Engineering ; 47 ; 131-139
2002
9 Seiten, 11 Quellen
Article (Journal)
French
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