Low-Frequency Sound Insulation Characteristics of Large-Size Asymmetric Membrane-Type Acoustic Metamaterials

Abstract

Abstract: Aiming at the insulation of low-frequency acoustic sound, a 100 mm crescent disc asymmetric membrane-type acoustic metamaterial structure was designed in this paper, which was composed of aluminum material as the frame and iron material as the mass attached to the surface of flexible ethylene-vinyl acetate copolymer film. The finite element method was adopted to calculate its transmission loss and displacement field. The asymmetric structure, the structure parameters and the mass block′s eccentricity together with the vibrational modes analysis were investigated in this study for a better sound insulation performance. The results show that, compared with the symmetric membrane-type acoustic metamaterials, the design of the asymmetry in a single cell makes the low-frequency sound insulation band widened by 23 Hz. Meanwhile, more vibrational modes are generated which illustrates that the coexistence of Lorentz resonance and Fano resonance promotes a better sound insulation performance of the crescent disc asymmetric structure. The large-size asymmetric membrane-type acoustic metamaterial structure designed in this paper can reduce the sound insulation frequency to 10 Hz with a wide low-frequency sound insulation performance within 10~500 Hz. It provides a new method for improving the low-frequency sound insulation effect of sound barriers in terms of structural optimization design.

Key words: membrane-type acoustic metamaterial, asymmetric structure, sound insulation characteristic, finite element method, acoustic-structure coupled, low-frequency

CLC Number:

TB53

YAN Wenhui, LIU Xixuan, FANG Tianyin, SUN Xiaowei, WEN Xiaodong, OUYANG Yuhua. Low-Frequency Sound Insulation Characteristics of Large-Size Asymmetric Membrane-Type Acoustic Metamaterials[J]. Journal of Synthetic Crystals, 2023, 52(8): 1441-1450.

References

[1] 陆智淼, 蔡力, 温激鸿, 等. 基于五模材料的圆柱声隐身斗篷坐标变换设计[J]. 物理学报, 2016, 65(17): 174301.
LU Z M, CAI L, WEN J H, et al. Research on coordinate transformation design of a cylinderical acoustic cloak with pentamode materials[J]. Acta Physica Sinica, 2016, 65(17): 174301 (in Chinese).
[2] BURRA S, KAR A. Nonlinear stereophonic acoustic echo cancellation using sub-filter based adaptive algorithm[J]. Digital Signal Processing, 2022, 121: 103323.
[3] LIU Z, ZHANG X, MAO Y, et al. Locally resonant sonic materials[J]. Science, 2000, 289(5485): 1734-1736.
[4] OLSSON R H, EL-KADY I. Microfabricated phononic crystal devices and applications[J]. Measurement Science and Technology, 2009, 20(1): 012002.
[5] ZHANG H, XIAO Y, WEN J H, et al. Ultra-thin smart acoustic metasurface for low-frequency sound insulation[J]. Applied Physics Letters, 2016, 108(14): 141902.
[6] LU M H, FENG L, CHEN Y F. Phononic crystals and acoustic metamaterials[J]. Materials Today, 2009, 12(12): 34-42.
[7] SUKHOVICH A, JING L, PAGE J H. Negative refraction and focusing of ultrasound in two-dimensional phononic crystals[J]. Physical Review B, 2008, 77: 014301.
[8] YANG Z, DAI H M, CHAN N H, et al. Acoustic metamaterial panels for sound attenuation in the 50-1000 Hz regime[J]. Applied Physics Letters, 2010, 96(4): 041906.
[9] CIABURRO G, IANNACE G. Membrane-type acoustic metamaterial using cork sheets and attached masses based on reused materials[J]. Applied Acoustics, 2022, 189: 108605.
[10] MA F Y, WU JIU HUI, HUANG M. Resonant modal group theory of membrane-type acoustical metamaterials for low-frequency sound attenuation[J]. The European Physical Journal Applied Physics, 2015, 71(3): 30504.
[11] 梅军, 马冠聪, 杨旻, 等. 暗声学超材料研究[J]. 物理, 2012, 41(7): 425-433.
MEI J, MA G C, YANG M, et al. Dark acoustic metamaterials[J]. Physics, 2012, 41(7): 425-433 (in Chinese).
[12] ZHOU G J, WU J H, LU K, et al. Broadband low-frequency membrane-type acoustic metamaterials with multi-state anti-resonances[J]. Applied Acoustics, 2020, 159: 107078.
[13] YANG Z, MEI J, YANG M, et al. Membrane-type acoustic metamaterial with negative dynamic mass[J]. Physical Review Letters, 2008, 101(20): 204301.
[14] NAIFY C J, CHANG C M, MCKNIGHT G, et al. Scaling of membrane-type locally resonant acoustic metamaterial arrays[J]. The Journal of the Acoustical Society of America, 2012, 132(4): 2784-2792.
[15] NAIFY C J, CHANG C M, MCKNIGHT G, et al. Transmission loss and dynamic response of membrane-type locally resonant acoustic metamaterials[J]. Journal of Applied Physics, 2010, 108(11): 114905.
[16] NAIFY C J, CHANG C M, MCKNIGHT G, et al. Transmission loss of membrane-type acoustic metamaterials with coaxial ring masses[J]. Journal of Applied Physics, 2011, 110(12): 124903.
[17] NAIFY C J, CHANG C M, MCKNIGHT G, et al. Membrane-type metamaterials: transmission loss of multi-celled arrays[J]. Journal of Applied Physics, 2011, 109(10): 104902.
[18] CAO D X, HU W H, GAO Y H, et al. Vibration and energy harvesting performance of a piezoelectric phononic crystal beam[J]. Smart Materials and Structures, 2019, 28(8): 085014.
[19] CHENG Y, ZHOU C, YUAN B G, et al. Ultra-sparse metasurface for high reflection of low-frequency sound based on artificial Mie resonances[J]. Nature Materials, 2015, 14(10): 1013-1019.
[20] RAGUIN L, GAIFFE O, SALUT R, et al. Dipole states and coherent interaction in surface-acoustic-wave coupled phononic resonators[J]. Nature Communications, 2019, 10(1): 4583.
[21] WU J H. Application of acoustic metamaterials in low-frequency vibration and noise reduction[J]. Journal of Mechanical Engineering, 2016, 52(13): 68.
[22] DONG H W, SU X X, WANG Y S, et al. Topology optimization of two-dimensional asymmetrical phononic crystals[J]. Physics Letters A, 2014, 378(4): 434-441.
[23] 贺子厚, 赵静波, 姚宏, 等. 薄膜底面Helmholtz腔声学超材料的隔声性能[J]. 物理学报, 2019, 68(21): 214302.
HE Z H, ZHAO J B, YAO H, et al. Sound insulation performance of Helmholtz cavity with thin film bottom[J]. Acta Physica Sinica, 2019, 68(21): 214302 (in Chinese).
[24] TAN Z H, SUN X W, TIAN M, et al. The mechanism of bandgap opening and merging in 2D spherical phononic crystals[J]. Physics Letters A, 2021, 405: 127432.
[25] 朱哲民, 龚秀芬, 杜功焕. 声学基础[M]. 第2版. 南京: 南京大学出版社, 2001.
ZHU Z M, GONG X F, DU G H. Fundamentals of acoustics[M]. 2nd Ed. Nanjing: Nanjing University Press, 2001 (in Chinese).
[26] ZHANG D B, ZHAO J F, BONELLO B, et al. Air-coupled method to investigate the lowest-order antisymmetric Lamb mode in stubbed and air-drilled phononic plates[J]. AIP Advances, 2016, 6(8): 085021.
[27] LANGFELDT F, GLEINE W. Optimizing the bandwidth of plate-type acoustic metamaterials[J]. The Journal of the Acoustical Society of America, 2020, 148(3): 1304.
[28] EDWARDS W T, CHANG C M, MCKNIGHT G, et al. Transmission loss and dynamic response of hierarchical membrane-type acoustic metamaterials[J]. Journal of Vibration and Acoustics, 2020, 142(2): 021007.
[29] FAHY F, GARDONIO P. Sound and structural vibration-radiation, transmission and response[J]. Noise Control Engineering Journal, 2007, 55(3): 373.
[30] LANGFELDT F, GLEINE W. Membrane- and plate-type acoustic metamaterials with elastic unit cell edges[J]. Journal of Sound and Vibration, 2019, 453: 65-86.
[31] FANO U. Effects of configuration interaction on intensities and phase shifts[J]. Physical Review B, 1961, 124(6): 1866-1878.
[32] POTYOMINA L G. Double-humped phonon resonance in doubly resonant vibration systems: phonon metamaterials analogy with doubly resonant electromagnetic structures[J]. Physical Review B, 2020, 102(17): 174315.
[33] HUANG T Y, SHEN C, JING Y. Membrane- and plate-type acoustic metamaterials[J]. The Journal of the Acoustical Society of America, 2016, 139(6): 3240-3250.