A hybrid modeling approach for vibroacoustic systems with attached sound packages

Abstract

Modeling complex vibroacoustic systems including poroelastic materials using finite element (FE) based methods can be computationally expensive. Several attempts have been made to alleviate this drawback, such as high order hierarchical basis and substructuring approaches. Still, these methods remain computationally expensive or limited to simple configurations. On the other hand, analytical approaches, such as the Transfer Matrix Method (TMM), are often used, thanks to the lower computational burden. However, since the geometrical flexibility of the FE method is always needed in the low/mid-frequency range, attempts have been made to couple the FE model of the master system with a TM model of the sound package. Although these hybrid approaches seem promising, the open literature is not comprehensive. The aim of this work is to present a hybrid FE-TMM approach based on a Green's function formulation. The idea is to account for the sound package by approximating the effects over the treated surface using fundamental solutions (i.e., Green's functions) obtained by the TMM. A benchmark representative of typical applications is used to illustrate the capabilities of the presented methodology in terms of efficiency and accuracy in comparison to other classical methods.

Modelling Techniques for Vibro-Acoustic Dynamics of Poroelastic Materials

“…This gives rise to a number of hybrid approaches in which the full modelling of the trim layer can be done using the TMM. In a hybrid coupling between FEM and TMM, the expensive explicit modelling of the multilayer can be replaced by a TM model, while the detailed vibroacoustic system model can still be done using the FEM [115,116]. By combining the TMM and the SEA, the effects of a sound package, i.e.…”