Abstract
A deployment-scale array of locally resonant membrane-type acoustic metamaterials (MAMs) is fabricated. The acoustic performance of the array is measured in a transmission loss chamber, and a complex interaction between the individual cell and the array length scales is shown to exist. Transmission behavior of both the membrane and the array are independently studied using analytical models, and a method for estimating transmission loss through the structure that combines vibroacoustic predictions from both length scales is presented and shown to agree with measurements. Degradation of transmission loss performance often associated with scaling individual MAM cells into arrays is explained using analytical tools and verified using laser vibrometry. A novel design for hierarchical locally resonant acoustic metamaterials is introduced, and experimental and analytical data confirm this approach offers an effective strategy for minimizing or eliminating the efficiency losses associated with scaling MAM structures.
Issue Section:
Research Papers
References
1.
Wang
, T.
, Sokolinsky
, V. S.
, Rajaram
, S.
, and Nutt
, S. R.
, 2005
, “Assessment of Sandwich Models for the Prediction of Sound Transmission Loss in Unidirectional Sandwich Panels
,” Appl. Acoust.
, 66
(3
), pp. 245
–262
. 10.1016/j.apacoust.2004.08.0052.
Yang
, Z.
, Mei
, J.
, Yang
, M.
, Chan
, N. H.
, and Sheng
, P.
, 2008
, “Membrane-Type Acoustic Metamaterial With Negative Dynamic Mass
,” Phys. Rev. Lett.
, 101
(20
), p. 204301
. 10.1103/PhysRevLett.101.2043013.
Zhang
, Y.
, Wen
, J.
, Xiao
, Y.
, Wen
, X.
, and Wang
, J.
, 2012
, “Theoretical Investigation of the Sound Attenuation of Membrane-Type Acoustic Metamaterials
,” Phys. Lett. A
, 376
(17
), pp. 1489
–1494
. 10.1016/j.physleta.2012.03.0104.
Naify
, C. J.
, Chang
, C. M.
, McKnight
, G.
, and Nutt
, S.
, 2010
, “Transmission Loss and Dynamic Response of Membrane-Type Locally Resonant Acoustic Metamaterials
,” J. Appl. Phys.
, 108
(11
), p. 114905
. 10.1063/1.35140825.
Naify
, C. J.
, Chang
, C.
, McKnight
, G.
, and Nutt
, S.
, 2011
, “Transmission Loss of Membrane-Type Acoustic Metamaterials With Coaxial Ring Masses
,” J. Appl. Phys.
, 110
(12
), p. 124903
. 10.1063/1.36652136.
Lu
, Z.
, Cui
, Y.
, and Debiasi
, M.
, 2016
, “Active Membrane-Based Silencer and Its Acoustic Characteristics
,” Appl. Acoust.
, 111
, pp. 39
–48
. 10.1016/j.apacoust.2016.03.0427.
Ma
, G.
, Fan
, X.
, Sheng
, P.
, and Fink
, M.
, 2018
, “Shaping Reverberating Sound Fields With an Actively Tunable Metasurface
,” Proc. Natl. Acad. Sci. U. S. A.
, 115
(26
), pp. 6638
–6643
. 10.1073/pnas.18011751158.
Chen
, S.
, Fan
, Y.
, Fu
, Q.
, Wu
, H.
, Jin
, Y.
, Zheng
, J.
, and Zhang
, F.
, 2018
, “A Review of Tunable Acoustic Metamaterials
,” Appl. Sci.
, 8
(9
), p. 1480
. 10.3390/app80914809.
Huang
, L.
, 1999
, “A Theoretical Study of Duct Noise Control by Flexible Panels
,” J. Acoust. Soc. Am.
, 106
(4
), pp. 1801
–1809
. 10.1121/1.42793010.
Du
, J.
, Liu
, Y.
, and Zhang
, Y.
, 2016
, “Influence of Boundary Restraint on Sound Attenuation Performance of a Duct-Membrane Silencer
,” Appl. Acoust.
, 105
, pp. 156
–163
. 10.1016/j.apacoust.2015.11.02011.
Liu
, Y.
, and Du
, J.
, 2017
, “Coupling Effects of Boundary Restraining Stiffness and Tension Force on Sound Attenuation of a Cavity-Backed Membrane Duct Silencer
,” Appl. Acoust.
, 117
, pp. 150
–159
. 10.1016/j.apacoust.2016.10.02312.
Chen
, Y.
, Huang
, G.
, Zhou
, X.
, Hu
, G.
, and Sun
, C.
, 2014
, “Analytical Coupled Vibroacoustic Modeling of Membrane-Type Acoustic Metamaterials: Membrane Model
,” J. Acoust. Soc. Am.
, 136
(3
), pp. 969
–979
. 10.1121/1.489287013.
Langfeldt
, F.
, Gleine
, W.
, and von Estorff
, O.
, 2015
, “Analytical Model for Low-Frequency Transmission Loss Calculation of Membranes Loaded With Arbitrarily Shaped Masses
,” J. Sound Vib.
, 349
, pp. 315
–329
. 10.1016/j.jsv.2015.03.03714.
Chen
, Y.
, Huang
, G.
, Zhou
, X.
, Hu
, G.
, and Sun
, C.-T.
, 2014
, “Analytical Coupled Vibroacoustic Modeling of Membrane-Type Acoustic Metamaterials: Plate Model
,” J. Acoust. Soc. Am.
, 136
(6
), pp. 2926
–2934
. 10.1121/1.490170615.
Edwards
, W. T.
, Chang
, C.-M.
, McKnight
, G.
, and Nutt
, S. R.
, 2019
, “Analytical Model for Low-Frequency Transmission Loss Calculation of Zero-Prestressed Plates With Arbitrary Mass Loading
,” ASME J. Vib. Acoust.
, 141
(4
), p. 041001
. 10.1115/1.404292716.
Naify
, C. J.
, Chang
, C. M.
, McKnight
, G.
, Scheulen
, F.
, and Nutt
, S.
, 2011
, “Membrane-Type Metamaterials: Transmission Loss of Multi-Celled Arrays
,” J. Appl. Phys.
, 109
(10
) p. 104902
. 10.1063/1.358365617.
Naify
, C. J.
, Chang
, C.-M.
, McKnight
, G.
, and Nutt
, S. R.
, 2012
, “Scaling of Membrane-Type Locally Resonant Acoustic Metamaterial Arrays
,” J. Acoust. Soc. Am.
, 132
(4
), pp. 2784
–2792
. 10.1121/1.474494118.
Langfeldt
, F.
, Gleine
, W.
, and von Estorff
, O.
, 2018
, “An Efficient Analytical Model for Baffled, Multi-Celled Membrane-Type Acoustic Metamaterial Panels
,” J. Sound Vib.
, 417
, pp. 359
–375
. 10.1016/j.jsv.2017.12.01819.
Langfeldt
, F.
, and Gleine
, W.
, 2019
, “Membrane- and Plate-Type Acoustic Metamaterials With Elastic Unit Cell Edges
,” J. Sound Vib.
, 453
, pp. 65
–86
. 10.1016/j.jsv.2019.04.01820.
Imbeni
, V.
, Kruzic
, J. J.
, Marshall
, G. W.
, Marshall
, S. J.
, and Ritchie
, R. O.
, 2005
, “The Dentin–Enamel Junction and the Fracture of Human Teeth
,” Nat. Mater.
, 4
(3
), pp. 229
–232
. 10.1038/nmat132321.
Cranford
, S. W.
, Tarakanova
, A.
, Pugno
, N. M.
, and Buehler
, M. J.
, 2012
, “Nonlinear Material Behaviour of Spider Silk Yields Robust Webs
,” Nature
, 482
(7383
), pp. 72
–76
. 10.1038/nature1073922.
Zhang
, P.
, and To
, A. C.
, 2013
, “Broadband Wave Filtering of Bioinspired Hierarchical Phononic Crystal
,” Appl. Phys. Lett.
, 102
(12
), p. 121910
. 10.1063/1.479917123.
Miniaci
, M.
, Krushynska
, A.
, Gliozzi
, A. S.
, Kherraz
, N.
, Bosia
, F.
, and Pugno
, N. M.
, 2018
, “Design and Fabrication of Bioinspired Hierarchical Dissipative Elastic Metamaterials
,” Phys. Rev. Appl.
, 10
(2
), p. 024012
. 10.1103/PhysRevApplied.10.02401224.
Lee
, K. Y.
, and Jeon
, W.
, 2018
, “Hierarchically Structured Metamaterials With Simultaneously Negative Mass Density and Young’s Modulus by Using Dynamic Homogenization
,” J. Appl. Phys.
, 124
(17
), p. 175103
. 10.1063/1.505020725.
Xu
, X.
, Barnhart
, M. V.
, Li
, X.
, Chen
, Y.
, and Huang
, G.
, 2019
, “Tailoring Vibration Suppression Bands With Hierarchical Metamaterials Containing Local Resonators
,” J. Sound Vib.
, 442
, pp. 237
–248
. 10.1016/j.jsv.2018.10.06526.
ASTM
, 2016
, “ASTM E2249-02(2016) Standard Test Method for Laboratory Measurement of Airborne Transmission Loss of Building Partitions and Elements Using Sound Intensity
,” pp. 1
–15
.27.
Rajaram
, S.
, Wang
, T.
, and Nutt
, S.
, 2009
, “Small-Scale Transmission Loss Facility for Flat Lightweight Panels
,” Noise Control Eng. J.
, 57
(5
), pp. 536
–542
. 10.3397/1.3198209Copyright © 2020 by ASME
You do not currently have access to this content.
