The objective of the paper is to demonstrate the homogenization approach applied to modelling the acoustic transmission on perforated interfaces embedded in the acoustic fluid. We assume a layer, with periodically perforated obstacles, separating two half-spaces filled with the fluid. The homogenization method provides limit transmission conditions which can be prescribed at the homogenized surface representing the “limit” interface. The conditions describe relationship between jump of the acoustic pressures and the transversal acoustic velocity, on introducing the “in-layer pressure” which describes wave propagation in the tangent directions with respect to the interface. This approach may serve as a relevant tool for optimal design of devices aimed at attenuation of the acoustic waves, such as the engine exhaust mufflers or other structures fitted with sieves and grillages. We present numerical examples of wave propagation in a muffler-like structure illustrating viability of the approach when complex 3D geometries of the interface perforation are considered. c
[1]
Ray Kirby,et al.
The impedance of perforated plates subjected to grazing gas flow and backed by porous media
,
1998
.
[2]
Anne-Sophie Bonnet-Ben Dhia,et al.
MATHEMATICAL ANALYSIS OF THE ACOUSTIC DIFFRACTION BY A MUFFLER CONTAINING PERFORATED DUCTS
,
2005
.
[3]
Vladimír Lukes,et al.
Homogenization of the acoustic transmission through a perforated layer
,
2010,
J. Comput. Appl. Math..
[4]
Doina Cioranescu,et al.
Homogenization of Reticulated Structures
,
1999
.
[5]
Západočeská univerzita v Plzni.
Applied and computational mechanics
,
2007
.
[6]
Doina Cioranescu,et al.
Periodic unfolding and homogenization
,
2002
.
[7]
E. LESTER SMITH,et al.
AND OTHERS
,
2005
.
[8]
Anne-Sophie Bonnet-Ben Dhia,et al.
SIMULATION OF MUFFLER'S TRANSMISSION LOSSES BY A HOMOGENIZED FINITE ELEMENT METHOD
,
2004
.