Modal approach and Padé approximants for the efficient modelling of sound absorbing porous materials in structural-acoustic finite element problems

Romain Rumpler (1, 2) , Peter Göransson (3) , Jean-François Deü (2)

1 MWL - Marcus Wallenberg Laboratory
2 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés
3 MWL, KTH Royal Institute of Technology

This thesis presents efficient finite element solutions of poro-elasto-acoustic coupled problems using modal-based approaches adapted to non conservative problems, combined with an interpolation method in frequency, based on Pade approximants. The performance of the proposed methods and ' their combination is demonstrated on several 1D to 3D coupled problems. Conclusions are drawn to provide indications for future research and tests to be conducted in order to further enhance the methodologies proposed in the thesis.

Mots clés: Structural; acoustics; Reduced order model; poroelastic materials; Padé approximants; Finite Elements

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Romain Rumpler, Peter Göransson, Jean-François Deü. Modal approach and Padé approximants for the efficient modelling of sound absorbing porous materials in structural-acoustic finite element problems. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855831⟩