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Li X, Liu B, Wu Q. Enhanced Low-Frequency Sound Absorption of a Porous Layer Mosaicked with Perforated Resonator. Polymers (Basel) 2022; 14:polym14020223. [PMID: 35054630 PMCID: PMC8777819 DOI: 10.3390/polym14020223] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2021] [Revised: 01/02/2022] [Accepted: 01/04/2022] [Indexed: 02/04/2023] Open
Abstract
A composite structure composed of a porous-material layer mosaicked with a perforated resonator is proposed to improve the low-frequency sound absorption of the porous layer. This structure is investigated in the form of a porous-material matrix (PM) and a perforated resonator (PR), and the PR is a thin perforated plate filled with porous material in its back cavity. Theoretical and numerical models are established to predict the acoustic impedance and sound absorption coefficient of the proposed structure, and two samples made of polyurethane and melamine, respectively, are tested in an impedance tube. The predicted results are consistent with that of the measured. Compared with a single porous layer with the same thickness, the results show that the designed structure provides an additional sound absorption peak at low frequencies. The proposed structure is compact and has an effective absorption bandwidth of more than two octaves especially below the frequency corresponding to 1/4 wavelength. A comparison is also made between the sound absorption coefficients of the proposed structure and a classical micro-perforated plate (MPP), and the results reveal equivalent acoustic performance, suggesting that it can be used as an alternative to the MPP for low–mid frequency sound absorption. Moreover, the influences of the main parameters on the sound absorption coefficient of PPCS are also analyzed, such as the hole diameter, area ratio, flow resistance, and porous-material thickness in the PR. The mechanism of sound absorption is discussed through the surface acoustic impedance and the distributions of particle velocity and sound pressure at several specific frequencies. This work provides a new idea for the applications of the thin porous layer in low- and medium-frequency sound absorption.
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Affiliation(s)
- Xin Li
- School of Mechanical & Automobile Engineering, Qingdao University of Technology, No. 777 Jialingjiang Road, Qingdao 266520, China; (X.L.); (Q.W.)
| | - Bilong Liu
- School of Mechanical & Automobile Engineering, Qingdao University of Technology, No. 777 Jialingjiang Road, Qingdao 266520, China; (X.L.); (Q.W.)
- Correspondence:
| | - Qianqian Wu
- School of Mechanical & Automobile Engineering, Qingdao University of Technology, No. 777 Jialingjiang Road, Qingdao 266520, China; (X.L.); (Q.W.)
- Key Lab of Industrial Fluid Energy Conservation and Pollution Control, Qingdao University of Technology, Ministry of Education, No. 777 Jialingjiang Road, Qingdao 266520, China
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Guo J, Fang Y, Qu R, Liu Q, Zhang X. An extra-broadband compact sound-absorbing structure composing of double-layer resonator with multiple perforations. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2021; 150:1370. [PMID: 34470319 DOI: 10.1121/10.0005912] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/23/2021] [Accepted: 07/30/2021] [Indexed: 06/13/2023]
Abstract
Based on multi-layer Helmholtz resonators with extended necks (HREN), a compact sound-absorbing structure is developed for extra-broadband sound absorption. The structure of HREN with a single perforation is beneficial for low-frequency absorption under a thin thickness. However, it faces the problem of effectively attenuating noise only within a narrow frequency bandwidth near the resonance frequency. To widen its effective absorption bandwidth, two potential solutions are proposed and evaluated: (1) increasing the perforation number, and (2) adding extra layers in series. Results reveal that more perforations produce a wider half-absorption bandwidth, and the added layers induce more absorption peaks. Thus, a multi-layer HREN unit with multiple perforations is a favorable candidate for broadband sound absorption. On the basis of these, we design a broadband acoustic structure constructed by 11 coupled parallelly arranged double-layer HREN units with multiple perforations. The structure possesses an average sound-absorption coefficient of 0.9 in a prescribed frequency ranging from 800 to 3000 Hz. The absorption effectiveness of the structure is validated via experiments. What is more, the dimension of the absorber is only 50 mm (long)×50 mm (width)×41 mm (depth), indicating its compact characteristic. Hence, the developed extra broadband and compact sound-absorbing structure possesses a promising potential in various engineering applications.
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Affiliation(s)
- Jingwen Guo
- Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong Special Administrative Region, China
| | - Yi Fang
- Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong Special Administrative Region, China
| | - Renhao Qu
- Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong Special Administrative Region, China
| | - Qian Liu
- Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong Special Administrative Region, China
| | - Xin Zhang
- Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong Special Administrative Region, China
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Feng L. Enhancement of low frequency sound absorption by placing thin plates on surface or between layers of porous materials. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2019; 146:EL141. [PMID: 31472554 DOI: 10.1121/1.5121571] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/29/2019] [Accepted: 07/24/2019] [Indexed: 06/10/2023]
Abstract
Rigid thin plates can be used, either on the surface or between layers of materials, to improve the sound absorption properties of porous materials at low frequencies, especially for materials with low sound absorption. Measurement results obtained from a 100 mm impedance tube, for different combinations of porous materials and thin plates, are supplied. Possible physical explanations are discussed. The size of the plate, together with the original properties of the porous material, determines the useful frequency region of the method. The technique of surface-placed thin plates can be directly applied to existing structures without making any changes of the original system, and the results are comparable to those with more complicated modifications.
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Affiliation(s)
- Leping Feng
- Department of Aeronautical and Vehicle Engineering, KTH Royal Institute of Technology, SE-100 44 Stockholm,
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Xiong L, Nennig B, Aurégan Y, Bi W. Sound attenuation optimization using metaporous materials tuned on exceptional points. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2017; 142:2288. [PMID: 29092599 DOI: 10.1121/1.5007851] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
A metamaterial composed of a set of periodic rigid resonant inclusions embedded in a porous lining is investigated to enhance the sound attenuation in an acoustic duct at low frequencies. A transmission loss peak is observed on the measurements and corresponds to the crossing of the lower two Bloch modes of an infinite periodic material. Numerical parametric studies show that the optimum modal attenuation can be achieved at the exceptional point in the parameter plane of inclusion position and frequency, where the two lower modes merge.
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Affiliation(s)
- Lei Xiong
- Laboratoire d'Acoustique de l'Université du Maine, Unité Mixte de Recherche CNRS 6613, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France
| | - Benoit Nennig
- Institut supérieur de mécanique de Paris (SUPMECA), Laboratoire Quartz EA 7393, 3 rue Fernand Hainaut, 93407 Saint-Ouen, France
| | - Yves Aurégan
- Laboratoire d'Acoustique de l'Université du Maine, Unité Mixte de Recherche CNRS 6613, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France
| | - Wenping Bi
- Laboratoire d'Acoustique de l'Université du Maine, Unité Mixte de Recherche CNRS 6613, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France
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Weisser T, Groby JP, Dazel O, Gaultier F, Deckers E, Futatsugi S, Monteiro L. Acoustic behavior of a rigidly backed poroelastic layer with periodic resonant inclusions by a multiple scattering approach. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2016; 139:617-629. [PMID: 26936546 DOI: 10.1121/1.4940669] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
The acoustic response of a rigidly backed poroelastic layer with a periodic set of elastic cylindrical inclusions embedded is studied. A semi-analytical approach is presented, based on Biot's 1956 theory to account for the deformation of the skeleton, coupling mode matching technique, Bloch wave representation, and multiple scattering theory. This model is validated by comparing the derived absorption coefficients to finite element simulations. Numerical results are further exposed to investigate the influence of the properties of the inclusions (type, material properties, size) of this structure, while a modal analysis is performed to characterize the dynamic behaviors leading to high acoustic absorption. Particularly, in the case of thin viscoelastic membranes, an absorption coefficient larger than 0.8 is observed on a wide frequency band. This property is found to be due to the coupling between the first volume mode of the inclusion and the trapped mode induced by the periodic array and the rigid backing, for a wavelength in the air smaller than 11 times the material thickness.
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Affiliation(s)
- Thomas Weisser
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Université du Maine, 72085 Le Mans Cedex 9, France
| | - Jean-Philippe Groby
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Université du Maine, 72085 Le Mans Cedex 9, France
| | - Olivier Dazel
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Université du Maine, 72085 Le Mans Cedex 9, France
| | - François Gaultier
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Université du Maine, 72085 Le Mans Cedex 9, France
| | - Elke Deckers
- Department of Mechanical Engineering, Katholieke Universiteit Leuven, 3001 Heverlee, Belgium
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Groby JP, Lagarrigue C, Brouard B, Dazel O, Tournat V, Nennig B. Enhancing the absorption properties of acoustic porous plates by periodically embedding Helmholtz resonators. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2015; 137:273-280. [PMID: 25618058 DOI: 10.1121/1.4904534] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
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.
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Affiliation(s)
- J-P Groby
- Laboratoire d'Acoustique de l'Université du Maine, L'Université Nantes Angers Le Mans, Université du Maine, CNRS, UMR-6613 CNRS, Avenue Olivier Messiaen, 72085 Le Mans, France
| | - C Lagarrigue
- Laboratoire d'Acoustique de l'Université du Maine, L'Université Nantes Angers Le Mans, Université du Maine, CNRS, UMR-6613 CNRS, Avenue Olivier Messiaen, 72085 Le Mans, France
| | - B Brouard
- Laboratoire d'Acoustique de l'Université du Maine, L'Université Nantes Angers Le Mans, Université du Maine, CNRS, UMR-6613 CNRS, Avenue Olivier Messiaen, 72085 Le Mans, France
| | - O Dazel
- Laboratoire d'Acoustique de l'Université du Maine, L'Université Nantes Angers Le Mans, Université du Maine, CNRS, UMR-6613 CNRS, Avenue Olivier Messiaen, 72085 Le Mans, France
| | - V Tournat
- Laboratoire d'Acoustique de l'Université du Maine, L'Université Nantes Angers Le Mans, Université du Maine, CNRS, UMR-6613 CNRS, Avenue Olivier Messiaen, 72085 Le Mans, France
| | - B Nennig
- Laboratoire d'Ingénierie des Systèmes Mécaniques et des Matériaux, EA 2336, Supméca, 3 Rue Fernand Hainaut, 93407 Saint-Ouen Cedex, France
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Groby JP, Lagarrigue C, Brouard B, Dazel O, Tournat V, Nennig B. Using simple shape three-dimensional rigid inclusions to enhance porous layer absorption. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2014; 136:1139. [PMID: 25190389 DOI: 10.1121/1.4892760] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
The absorption properties of a metaporous material made of non-resonant simple shape three-dimensional rigid inclusions (cube, cylinder, sphere, cone, and ring torus) embedded in a rigidly backed rigid-frame porous material are studied. A nearly total absorption can be obtained for a frequency lower than the quarter-wavelength resonance frequency due to the excitation of a trapped mode. To be correctly excited, this mode requires a filling fraction larger in three-dimensions than in two-dimensions for purely convex (cube, cylinder, sphere, and cone) shapes. At long wavelengths compared to the spatial period, a cube is found to be the best purely convex inclusion shape to embed in a cubic unit cell, while the embedment of a sphere or a cone cannot lead to an optimal absorption for some porous material properties and dimensions of the unit cell. At a fixed position of purely convex shape inclusion barycenter, the absorption coefficient only depends on the filling fraction and does not depend on the shape below the Bragg frequency arising from the interaction between the inclusion and its image with respect to the rigid backing. The influence of the incidence angle and of the material properties, namely, the flow resistivity is also shown. The results of the modeling are validated experimentally in the case of cubic and cylindrical inclusions.
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Affiliation(s)
- J-P Groby
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS, Université du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France
| | - C Lagarrigue
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS, Université du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France
| | - B Brouard
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS, Université du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France
| | - O Dazel
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS, Université du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France
| | - V Tournat
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS, Université du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France
| | - B Nennig
- Laboratoire d'Ingénierie des Systemes Mécaniques et des Matériaux, LISMMA EA2336, SUPMECA, 3 Rue Fernand Hainaut, 93407 Saint-Ouen Cedex, France
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Murray ARJ, Summers IR, Sambles JR, Hibbins AP. An acoustic double fishnet using Helmholtz resonators. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2014; 136:980. [PMID: 25190373 DOI: 10.1121/1.4892859] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
The acoustic transmission of a closely spaced pair of patterned and perforated rigid plates is explored in air. The structure resembles an acoustic double fishnet design, with each plate modified such that the gap between them acts as an array of Helmholtz resonators. This allows the center frequency of the stop band to be reduced by a factor greater than 2 from the value obtained for the conventional acoustic double fishnet design. Experimental results accord well with the predictions of a finite element model.
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Affiliation(s)
- A R J Murray
- Electromagnetic and Acoustic Materials, Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter, EX4 4QL, United Kingdom
| | - I R Summers
- Electromagnetic and Acoustic Materials, Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter, EX4 4QL, United Kingdom
| | - J R Sambles
- Electromagnetic and Acoustic Materials, Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter, EX4 4QL, United Kingdom
| | - A P Hibbins
- Electromagnetic and Acoustic Materials, Department of Physics and Astronomy, University of Exeter, Stocker Road, Exeter, EX4 4QL, United Kingdom
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Lagarrigue C, Groby JP, Tournat V, Dazel O, Umnova O. Absorption of sound by porous layers with embedded periodic arrays of resonant inclusions. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2013; 134:4670. [PMID: 25669279 DOI: 10.1121/1.4824843] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
The aim of this work is to design a layer of porous material with a high value of the absorption coefficient in a wide range of frequencies. It is shown that low frequency performance can be significantly improved by embedding periodically arranged resonant inclusions (slotted cylinders) into the porous matrix. The dissipation of the acoustic energy in a porous material due to viscous and thermal losses inside the pores is enhanced by the low frequency resonances of the inclusions and energy trapping between the inclusion and the rigid backing. A parametric study is performed in order to determine the influence of the geometry and the arrangement of the inclusions embedded in a porous layer on the absorption coefficient. The experiments confirm that low frequency absorption coefficient of a composite material is significantly higher than that of the porous layer without the inclusions.
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Affiliation(s)
- C Lagarrigue
- LUNAM Université, Université du Maine, CNRS, LAUM UMR-CNRS 6613 (Laboratoire d'Acoustique de l'Université du Maine), Avenue O. Messiaen, 72085 Le Mans, France
| | - J P Groby
- LUNAM Université, Université du Maine, CNRS, LAUM UMR-CNRS 6613 (Laboratoire d'Acoustique de l'Université du Maine), Avenue O. Messiaen, 72085 Le Mans, France
| | - V Tournat
- LUNAM Université, Université du Maine, CNRS, LAUM UMR-CNRS 6613 (Laboratoire d'Acoustique de l'Université du Maine), Avenue O. Messiaen, 72085 Le Mans, France
| | - O Dazel
- LUNAM Université, Université du Maine, CNRS, LAUM UMR-CNRS 6613 (Laboratoire d'Acoustique de l'Université du Maine), Avenue O. Messiaen, 72085 Le Mans, France
| | - O Umnova
- Acoustics Research Centre, University of Salford, Salford, Greater Manchester, M5 4WT, United Kingdom
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Groby JP, Brouard B, Dazel O, Nennig B, Kelders L. Enhancing rigid frame porous layer absorption with three-dimensional periodic irregularities. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2013; 133:821-831. [PMID: 23363101 DOI: 10.1121/1.4773276] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
This papers reports a three-dimensional (3D) extension of the model proposed by Groby et al. [J. Acoust. Soc. Am. 127, 2865-2874 (2010)]. The acoustic properties of a porous layer backed by a rigid plate with periodic rectangular irregularities are investigated. The Johnson-Champoux-Allard model is used to predict the complex bulk modulus and density of the equivalent fluid in the porous material. The method of variable separation is used together with the radiation conditions and Floquet theorem to derive the analytical expression for the acoustic reflection coefficient from the porous layer with 3D inhomogeneities. Finite element method is also used to validate the proposed analytical solution. The theoretical and numerical predictions agree well with the experimental data obtained from an impedance tube experiment. It is shown that the measured acoustic absorption coefficient spectrum exhibits a quasi-total absorption peak at the predicted frequency of the mode trapped in the porous layer. When more than one irregularity per spatial period is considered, additional absorption peaks are observed.
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Affiliation(s)
- J-P Groby
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Univ. du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France.
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Nennig B, Renou Y, Groby JP, Aurégan Y. A mode matching approach for modeling two dimensional porous grating with infinitely rigid or soft inclusions. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2012; 131:3841-3852. [PMID: 22559360 DOI: 10.1121/1.3693655] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
This work investigates the acoustical properties of a multilayer porous material in which periodic inclusions are embedded. The material is assumed to be backed by a rigid wall. Most of the studies performed in this field used the multipole method and are limited to circular shape inclusions. Here, a mode matching approach, more convenient for a layered system, is adopted. The inclusions can be in the form of rigid scatterers of an arbitrary shape, in the form of an air-filled cavity or in the form of a porous medium with contrasting properties. The computational approach is validated on simple geometries against other numerical schemes and with experimental results obtained in an anechoic room on a rigid grating embedded in a porous material made of 2 mm glass beads. The method is used to study the acoustic absorption behavior of this class of materials in the low frequency range and at a range of angles of incidence.
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Affiliation(s)
- Benoit Nennig
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 CNRS/Univ. du Maine, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France.
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