A 2D wave finite element-based superelement formulation for acoustic analysis of cavities of arbitrary shapes - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

A 2D wave finite element-based superelement formulation for acoustic analysis of cavities of arbitrary shapes

J.-M Mencik
Denis Duhamel
Marie-Laure Gobert

Résumé

A substructuring technique is proposed which enables fast computation of the acoustic response of arbitrary-shaped 2D cavities subject to different kinds of excitations. It combines rectangular superelements which are modeled by means of the wave finite element (WFE) method, and arbitrary-shaped superelements modeled using component mode synthesis (CMS). Within the WFE framework, the so-called receptance matrices of rectangular superelements — which link the pressure vectors to the acoustic force vectors over the boundaries — can be derived in an efficient way in terms of wave modes, without the need of explicitly condensing the internal degrees of freedom of the systems. A model reduction strategy is proposed which aims at expressing the receptance matrices with a few wave modes only. The proposed strategy involves enclosing each rectangular superelement in a finite element (FE) layer with a small width. In this way, smoothed pressure fields are likely to occur over the WFE superelements, hence enabling these superelements to be described with a few wave modes only. By considering those WFE-based rectangular superelements surrounded by FE layers, this yields the so-called hybrid WFE/FE superelements whose dynamic stiffness matrices can be computed in a very fast way. Modeling a whole arbitrary-shaped acoustic cavity follows from conventional assembly procedure between hybrid WFE/FE superelements, CMS superelements and other FE components. Numerical experiments are carried out to highlight the relevance of the proposed substructuring technique.
Fichier principal
Vignette du fichier
communication_2015_2.pdf (874.02 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01266395 , version 1 (02-02-2016)

Identifiants

  • HAL Id : hal-01266395 , version 1

Citer

J.-M Mencik, Denis Duhamel, Marie-Laure Gobert. A 2D wave finite element-based superelement formulation for acoustic analysis of cavities of arbitrary shapes . COMPDYN 2015, May 2015, Hersonissos;Crete Island, Greece. ⟨hal-01266395⟩
240 Consultations
367 Téléchargements

Partager

Gmail Facebook X LinkedIn More