Prediction of acoustic properties of parallel assemblies by means of transfer matrix method
Author(s) -
Kévin Verdière,
Raymond Panneton,
Saïd Elkoun,
Thomas Dupont,
Philippe Leclaire
Publication year - 2013
Publication title -
proceedings of meetings on acoustics
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.15
H-Index - 16
ISSN - 1939-800X
DOI - 10.1121/1.4799562
Subject(s) - transfer matrix , finite element method , transfer matrix method (optics) , series (stratigraphy) , matrix (chemical analysis) , resonator , work (physics) , sound transmission class , acoustics , diffusion , materials science , computer science , physics , mechanical engineering , structural engineering , composite material , engineering , paleontology , optoelectronics , computer vision , biology , thermodynamics
International audienceThe Transfer Matrix Method (TMM) is used conventionally to predict the acoustic properties of laterally infinite homogeneous layers assembled in series to form a multilayer. In this work, a parallel assembly process of transfer matrices is used to model heterogeneous materials such as patchworks, acoustic mosaics, or a collection of acoustic elements in parallel. In this method, it is assumed that each parallel element can be modeled by a 2x2 transfer matrix, and no diffusion exists between elements. The method is validated by comparison with finite element method (FEM). Then, an overview of the possibilities, such as the combination of series and parallel matrices, the sound absorption coefficient and the transmission loss of a parallel array of resonators or three-dimensional geometries is presented and discussed
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