Homogenization of the acoustic transmission through a perforated layer

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Rohan, E.¹ 

[1] Univ W Bohemia, Fac Sci Appl, Dept Mech, Plzen 30614, Czech Republic

关键词: Acoustic transmission;    Perforated duct;    Two-scale homogenization;    Homogenized impedance;   

DOI  :  10.1016/j.cam.2009.08.059

来源: Elsevier

【 摘 要 】

The paper deals with homogenized transmission conditions imposed on an interface plane separating two halfspaces occupied by an acoustic medium. The conditions are obtained as the two-scale homogenization limit of a standard acoustic problem imposed on the layer perforated by a sieve-like obstacle with a periodic structure. Both the characteristic scale of the perforations and the layer thickness are parametrized by epsilon -> 0. The limit model involving some homogenized coefficients governs the interface discontinuity of the acoustic pressure associated with the two halfspaces and the magnitude of the transverse acoustic velocity. This novel approach allows for the treatment of complicated designs of perforations and presents an alternative to the usual description of acoustic impedance, which relies on a rough averaging of the quasi-experimental data. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free