Transfer matrix method applied to the parallel assembly of sound absorbing materials
| Autor: | Kévin Verdière, Raymond Panneton, P. Leclaire, Saïd Elkoun, Thomas Dupont |
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| Přispěvatelé: | Département de génie mécanique [Sherbrooke] (UdeS), Université de Sherbrooke (UdeS), Groupe d'Acoustique de l'Université de Sherbrooke (GAUS), Université de Sherbrooke (UdeS)-Université de Sherbrooke (UdeS), Département de Recherche en Ingéniérie des Véhicules pour l'Environnement (DRIVE), Université de Bourgogne (UB) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Diffusion (acoustics)
Materials science Acoustics and Ultrasonics Discretization Series (mathematics) Acoustics Transfer-matrix method (optics) Mathematical analysis 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Transfer matrix Finite element method Matrix (mathematics) [SPI]Engineering Sciences [physics] Arts and Humanities (miscellaneous) 0103 physical sciences 0210 nano-technology 010301 acoustics Parallel array |
| Zdroj: | Journal of the Acoustical Society of America Journal of the Acoustical Society of America, Acoustical Society of America, 2013, 134 (6), pp.4648-4658. ⟨10.1121/1.4824839⟩ |
| ISSN: | 0001-4966 1520-8524 |
| Popis: | International audience; The 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 2 × 2 transfer matrix, and no diffusion exists between elements. The resulting transfer matrix of the parallel assembly is also a 2 × 2 matrix that can be assembled in series with the classical TMM. The method is validated by comparison with finite element (FE) simulations and acoustical tube measurements on different parallel/series configurations at normal and oblique incidence. The comparisons are in terms of sound absorption coefficient and transmission loss on experimental and simulated data and published data, notably published data on a parallel array of resonators. From these comparisons, the limitations of the method are discussed. Finally, applications to three-dimensional geometries are studied, where the geometries are discretized as in a FE concept. Compared to FE simulations, the extended TMM yields similar results with a trivial computation time. |
| Databáze: | OpenAIRE |
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