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Communication Dans Un Congrès Année : 2018

Enriched finite elements for high-frequency vibrations of geometrically heterogeneous bars and Timoshenko beams

Résumé

Mots-clés : Enriched finite elements, high frequency vibrations, bar, Timoshenko beam This study proposes a new enriched finite element method (FEM) to handle high-frequency vibrations of bars (traction-compression) and beams (bending) with varying cross-section. Indeed, analytical solutions are available for a limited number of geometries, especially for Timoshenko beams [2], and traditional hand h-p-FEM may become costly at increasing frequencies as they require a minimal resolution (number of elements per wavelength) to reach the convergence regime. Hereinafter, the focus is on bars, but numerical illustrations will be provided for both bars and beams.
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Dates et versions

hal-01835428 , version 1 (11-07-2018)

Identifiants

  • HAL Id : hal-01835428 , version 1

Citer

Rémi Cornaggia, Eric Darrigrand, Loïc Le Marrec, Fabrice Mahé. Enriched finite elements for high-frequency vibrations of geometrically heterogeneous bars and Timoshenko beams. Congrès National d'Analyse Numérique 2018, May 2018, Cap d'Agde, France. ⟨hal-01835428⟩
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