Numerical and experimental investigations on the acoustic performances of membraned Helmholtz resonators embedded in a porous matrix

Allard, 2009 Romero-Garca, 2016, Use of complex frequency plane to design broadband and sub-wavelength absorbers, J. Acoust. Soc. Am., 139, 3395, 10.1121/1.4950708 Jimnez, 2016, Ultra-thin metamaterial for perfect and quasi-omnidirectional sound absorption, Appl. Phys. Lett., 109, 121902, 10.1063/1.4962328 Ingrd, 1950, Acoustic circulation effects and the nonlinear impedance of orifices, J. Acoust. Soc. Am., 22, 211, 10.1121/1.1906591 Ingard, 1953, On the theory and design of acoustic resonators, J. Acoust. Soc. Am., 25, 1037, 10.1121/1.1907235 Lee, 2001, Helmholtz resonator with an extended neck, J. Acoust. Soc. Am., 110, 10.1121/1.4809009 Hsu, 1996, Cavity noise control using helmholtz resonators Tang, 1973, Theory of a generalized helmholtz resonator, J. Sound Vib., 26, 247, 10.1016/S0022-460X(73)80234-2 Prydz, 1990, Transmission loss of a multilayer panel with internal tuned helmholtz resonators, J. Acoust. Soc. Am., 87, 1597, 10.1121/1.399407 Kuntz, 1991, Development and testing of cabin sidewall acoustic resonators for the reduction of cabin tone levels in propfan-powered aircraft, Noise Contr. Eng. J., 37, 129, 10.3397/1.2827801 Borchers, 1998, Acoustic protection on payload fairings of expendable launch vehicles, J. Acoust. Soc. Am., 103, 2259, 10.1121/1.422707 Sugie, 2009, Effect of inserting a helmholtz resonator on sound insulation in a double-leaf partition cavity, Acoust Sci. Technol., 30, 317, 10.1250/ast.30.317 Komkin, 2017, Sound absorption by a helmholtz resonator, Acoust Phys., 63, 385, 10.1134/S1063771017030071 Ding, 2011, Multi-band and broadband acoustic metamaterial with resonant structures, J. Phys. D Appl. Phys., 44, 215402, 10.1088/0022-3727/44/21/215402 Lagarrigue, 2013, Absorption of sound by porous layers with embedded periodic arrays of resonant inclusions, J. Acoust. Soc. Am., 134, 4670, 10.1121/1.4824843 Boutin, 2013, Acoustics of porous media with inner resonators, J. Acoust. Soc. Am., 134, 4717, 10.1121/1.4824965 Groby, 2015, Enhancing the absorption properties of acoustic porous plates by periodically embedding helmholtz resonators, J. Acoust. Soc. Am., 137, 273, 10.1121/1.4904534 Doutres, 2015, Transfer matrix modeling and experimental validation of cellular porous material with resonant inclusions, J. Acoust. Soc. Am., 137, 3502, 10.1121/1.4921027 Naify, 2010, Transmission loss and dynamic response of membrane-type locally resonant acoustic metamaterials, J. Appl. Phys., 108, 114905, 10.1063/1.3514082 Yang, 2008, Membrane-type acoustic metamaterial with negative dynamic mass, Phys. Rev. Lett., 101, 10.1103/PhysRevLett.101.204301 Huang, 2016, Membrane- and plate-type acoustic metamaterials, J. Acoust. Soc. Am., 139, 3240, 10.1121/1.4950751 Norris, 1993, Elastic helmholtz resonators, J. Acoust. Soc. Am., 93, 617, 10.1121/1.405481 Griffiths, 2017, Porogranular materials composed of elastic helmholtz resonators for acoustic wave absorption, J. Acoust. Soc. Am., 141, 254, 10.1121/1.4973691 Lu, 2015, An electronically tunable duct silencer using dielectric elastomer actuators, J. Acoust. Soc. Am., 138, EL236, 10.1121/1.4929629 Yu, 2017, Vibroacoustic modeling of an acoustic resonator tuned by dielectric elastomer membrane with voltage control, J. Sound Vib., 387, 114, 10.1016/j.jsv.2016.10.022 Venegas, 2017, Acoustics of permeo-elastic materials, J. Fluid Mech., 828, 135, 10.1017/jfm.2017.505 Champoux, 1991, Dynamic tortuosity and bulk modulus in air-saturated porous media, J. Appl. Phys., 70, 1975, 10.1063/1.349482 Kirby, 1999, Prediction of the bulk acoustic properties of fibrous materials at low frequencies1a shorter version of this paper was presented at the EuroNoise conference, Lyon, France, 21-23 march 19951, Appl. Acoust., 56, 101, 10.1016/S0003-682X(98)00015-2 Martins, 2006, A comparative study of several material models for prediction of hyperelastic properties: application to silicone-rubber and soft tissues, Strain, 42, 135, 10.1111/j.1475-1305.2006.00257.x Mooney, 1940, A theory of large elastic deformation, J. Appl. Phys., 11, 582, 10.1063/1.1712836 Ogden, 1973, Large deformation isotropic elasticityon the correlation of theory and experiment for incompressible rubberlike solids, Rubber Chem. Technol., 46, 398, 10.5254/1.3542910 Doutres, 2010, Acoustic contributions of a sound absorbing blanket placed in a double panel structure: absorption versus transmission, J. Acoust. Soc. Am., 128, 664, 10.1121/1.3458845 Zwikker, 1949 Salissou, 2012, Complement to standard method for measuring normal incidence sound transmission loss with three microphones, J. Acoust. Soc. Am., 131, EL216, 10.1121/1.3681016 2015 Roland, 2004 Jimnez, 2017, Metadiffusers: deep-subwavelength sound diffusers, Sci. Rep., 7 Stinson, 1991, The propagation of plane sound waves in narrow and wide circular tubes, and generalization to uniform tubes of arbitrary cross-sectional shape, J. Acoust. Soc. Am., 89, 550, 10.1121/1.400379 Chung, 1980, Transfer function method of measuring in-duct acoustic properties. II. experiment, J. Acoust. Soc. Am., 68, 914, 10.1121/1.384779 Reynolds, 2014, An active viscoelastic metamaterial for isolation applications, Smart Mater. Struct., 23, 045030, 10.1088/0964-1726/23/4/045030 Brouard, 1994 Abbad, 2018, Adaptive helmholtz resonator based on electroactive polymers: modeling, characterization, and control, Smart Mater. Struct., 27, 105029, 10.1088/1361-665X/aad939 Photiadis, 1991, The effect of wall elasticity on the properties of a helmholtz resonator, J. Acoust. Soc. Am., 90, 1188, 10.1121/1.402026 Liu, 2000, Locally resonant sonic materials, Science, 289, 1734, 10.1126/science.289.5485.1734 Langfeldt, 2018, An efficient analytical model for baffled, multi-celled membrane-type acoustic metamaterial panels, J. Sound Vib., 417, 359, 10.1016/j.jsv.2017.12.018 Roland, 2011 Ibrahimbegovic, 2009