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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Cornaggia_abstract_communication_CANUM_2018.pdf (170.99 Ko)
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