Using the MFS for the analysis of the sound absorption by a porous plate containing a periodic array of inclusionsReport as inadecuate




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* Corresponding author 1 LRURM - Laboratoire Roberval - Unité de recherche en mécanique 2 Laboratoire Roberval

Abstract : The Method of Fundamental Solutions MFS is now a well-established technique that has proved to be reliable for a specific range of wave problems such as the scattering of acoustic and elastic waves by scatterers of regular shapes or by gratings. The aim of this work is to show that the technique can be used to model absorption problems whereby an incident acoustic wave impinges on a porous plate of finite thickness in which periodic inclusions are embedded. The inclusions may be of different type such as rigid scatterers of various shape or cavities filled with air or with another porous material. The extension of the MFS to periodic problems is obtained by using appropriate periodic Green-s functions for which highly convergent series exist. The influence of the inclusions is illustrated on various examples in order to enhance the absorption properties in the low frequency range or around specific frequency ranges.

Keywords : Method of Fundamental Solutions multiple scattering porous plate periodic Green-s function





Author: Emmanuel Perrey-Debain - Benoit Nennig -

Source: https://hal.archives-ouvertes.fr/



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