The Fourier version of the Variational Theory of Complex Rays for medium-frequency acoustics - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2012

The Fourier version of the Variational Theory of Complex Rays for medium-frequency acoustics

Résumé

The Variational Theory of Complex Rays (VTCR) is a wave-based computational approach dedicated to the resolution of medium-frequency problems. It uses a variational formulation of the problem which enables one to use any type of shape function within the substructures provided that it satisfies the governing equation. Thus, the solution can be approximated using plane waves, which is very interesting in the medium-frequency vibration domain and also leads to a strong convergence of the method. In the previous works, this was shown in the case of acoustic problems in which the amplitudes of the plane waves were calculated as wavebands. In this paper, we propose a new approximation of these amplitudes based on Fourier series. We show that this approach increases the robustness of the method, makes it more efficient numerically and extends its applicability to somewhat higher frequencies.
Fichier principal
Vignette du fichier
Kovalevsky2012.pdf (687.08 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01647876 , version 1 (28-01-2019)

Identifiants

Citer

Louis Kovalevsky, Pierre Ladevèze, Hervé Riou. The Fourier version of the Variational Theory of Complex Rays for medium-frequency acoustics. Computer Methods in Applied Mechanics and Engineering, 2012, 225-228, pp.142-153. ⟨10.1016/j.cma.2012.03.009⟩. ⟨hal-01647876⟩
255 Consultations
102 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More