Prediction of the sound field above a patchwork of absorbing materials.

The aim of this paper is to investigate the acoustic performance of sound absorbing materials through a numerical wave based prediction technique. The final goal of this work is to get insight into the acoustic behavior of a combination of sound absorbing patches. In order to address a wide frequency range, a model based on the Trefftz approach is adopted. In this approach, the dynamic field variables are expressed in terms of global wave function expansions that satisfy the governing dynamic equations exactly. Therefore, approximation errors are associated only with the boundary conditions of the considered problem. This results in a computationally efficient technique. The main advantage of this method is the fact that the sound absorbing patches do not have to be locally reacting. In this article, the wave based method is described and experimentally validated for the case of normal incidence sound absorption identification in a standing wave tube. Afterwards, the method is applied to simulate some interesting setups of absorbing materials.

[1]  Raymond Panneton,et al.  A mixed displacement-pressure formulation for poroelastic materials , 1998 .

[2]  M. Biot Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[3]  X. Olny Absorption acoustique des milieux poreux a simple et double porosité : modelisation et validation experimentale , 1999 .

[4]  S. Kelly,et al.  Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid , 1956 .

[5]  Wim Desmet,et al.  A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems , 2000 .

[6]  C Aristégui,et al.  Measuring the porosity and the tortuosity of porous materials via reflected waves at oblique incidence. , 2003, The Journal of the Acoustical Society of America.

[7]  Franck Sgard,et al.  Acoustic absorption of macro-perforated porous materials , 2001 .

[8]  Christ Glorieux,et al.  Determination of the viscous characteristic length in air‐filled porous materials by ultrasonic attenuation measurements , 1996 .

[9]  J. F. Allard,et al.  Propagation of sound in porous media , 1993 .

[10]  Claude Boutin,et al.  Acoustic wave propagation in double porosity media. , 2003, The Journal of the Acoustical Society of America.

[11]  Franck Sgard,et al.  On the use of perforations to improve the sound absorption of porous materials , 2005 .

[12]  Wim Desmet,et al.  Application of an efficient wave-based prediction technique for the analysis of vibro-acoustic radiation problems , 2004 .

[13]  Olivier Tanneau,et al.  A boundary element method for porous media , 2006 .

[14]  W. Desmet A wave based prediction technique for coupled vibro-acoustic analysis , 1998 .