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Homogenization of transmission conditions for analysis of acoustic waves in domains with perforated barriers
Author(s) -
Rohan Eduard,
Lukeš Vladimír
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810567
Subject(s) - homogenization (climate) , acoustics , perforation , transverse plane , acoustic wave , discontinuity (linguistics) , materials science , mechanics , physics , structural engineering , composite material , engineering , mathematics , mathematical analysis , biodiversity , ecology , punching , biology
We consider structures like the muffler of the engine exhaust, where the acoustic waves propagate through periodically perforated barriers. Recently we proposed a homogenized model [6] of the acoustic transmission through the layer with embedded rigid obstacles of arbitrary shapes, which represent the perforation. The homogenized model describes relationship between jump of the acoustic pressures p + and p − at the discontinuity interface Γ 0 and the transverse acoustic velocity g 0± , on introducing in–layer acoustic pressure p 0 which describes wave propagation along the interface. The coupling between the transversely and the tangential acoustic velocities may become important for certain types of perforations. A sensitivity study was done which reveals remarkable dependence of wave transmission losses on the geometry of the perforation. Examples of 3D perforation geometries were treated. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)