Enhancing the absorption properties of acoustic porous plates by periodically embedding Helmholtz resonators.

This paper studies the acoustical properties of hard-backed porous layers with periodically embedded air filled Helmholtz resonators. It is demonstrated that some enhancements in the acoustic absorption coefficient can be achieved in the viscous and inertial regimes at wavelengths much larger than the layer thickness. This enhancement is attributed to the excitation of two specific modes: Helmholtz resonance in the viscous regime and a trapped mode in the inertial regime. The enhancement in the absorption that is attributed to the Helmholtz resonance can be further improved when a small amount of porous material is removed from the resonator necks. In this way the frequency range in which these porous materials exhibit high values of the absorption coefficient can be extended by using Helmholtz resonators with a range of carefully tuned neck lengths.

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

[2]  Yang-Hann Kim,et al.  A theoretical model to predict the low-frequency sound absorption of a helmholtz resonator array. , 2006, The Journal of the Acoustical Society of America.

[3]  Yang-Hann Kim,et al.  Silencer design by using array resonators for low-frequency band noise reduction , 2005 .

[4]  P. Sheng,et al.  Membrane-type acoustic metamaterial with negative dynamic mass. , 2008, Physical review letters.

[5]  J. Groby,et al.  Enhancing the absorption coefficient of a backed rigid frame porous layer by embedding circular periodic inclusions. , 2011, The Journal of the Acoustical Society of America.

[6]  Raymond Panneton,et al.  Acoustic properties of air-saturated porous materials containing dead-end porosity , 2011 .

[7]  W. Lauriks,et al.  Analytical method for the ultrasonic characterization of homogeneous rigid porous materials from transmitted and reflected coefficients. , 2010, The Journal of the Acoustical Society of America.

[8]  A. Selamet,et al.  Helmholtz resonator with extended neck. , 2001 .

[9]  Joel Koplik,et al.  Theory of dynamic permeability and tortuosity in fluid-saturated porous media , 1987, Journal of Fluid Mechanics.

[10]  Xiaopeng Zhao,et al.  Multi-band and broadband acoustic metamaterial with resonant structures , 2011 .

[11]  Olivier Dazel,et al.  Biot Effects for Sound Absorbing Double Porosity Materials , 2012 .

[12]  Claude Boutin,et al.  Acoustics of porous media with inner resonators. , 2013, The Journal of the Acoustical Society of America.

[13]  J. Groby,et al.  Absorption of sound by porous layers with embedded periodic arrays of resonant inclusions. , 2013, The Journal of the Acoustical Society of America.

[14]  George T. Flowers,et al.  Sound attenuation using microelectromechanical systems fabricated acoustic metamaterials , 2013 .

[15]  W Lauriks,et al.  Total absorption peak by use of a rigid frame porous layer backed by a rigid multi-irregularities grating. , 2010, The Journal of the Acoustical Society of America.

[16]  T A Johansson,et al.  Theory and experiments on the coupling of two Helmholtz resonators. , 2001, The Journal of the Acoustical Society of America.

[17]  Xiao-jun Liu,et al.  Coupled resonant modes in twisted acoustic metamaterials , 2012 .

[18]  J. Groby,et al.  A mode matching approach for modeling two dimensional porous grating with infinitely rigid or soft inclusions. , 2012, The Journal of the Acoustical Society of America.

[19]  J. Groby,et al.  Enhancing rigid frame porous layer absorption with three-dimensional periodic irregularities. , 2013, The Journal of the Acoustical Society of America.

[20]  Flute-model acoustic metamaterials with simultaneously negative bulk modulus and mass density , 2012, 1210.2527.

[21]  Claude Boutin,et al.  Deformable porous media with double porosity III: Acoustics , 1994 .

[22]  J. Allard.  Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials , 1994 .

[23]  P. Sheng,et al.  Dark acoustic metamaterials as super absorbers for low-frequency sound , 2012, Nature Communications.

[24]  U. Ingard.  On the Theory and Design of Acoustic Resonators , 1953 .

[25]  O Dazel,et al.  Using simple shape three-dimensional rigid inclusions to enhance porous layer absorption. , 2014, The Journal of the Acoustical Society of America.

[26]  Olga Umnova,et al.  Acoustical properties of double porosity granular materials. , 2011, The Journal of the Acoustical Society of America.

[27]  Yvan Champoux,et al.  Dynamic tortuosity and bulk modulus in air‐saturated porous media , 1991 .