Merging phononic crystals and acoustic black holes

doi:10.1007/s10483-020-2568-7

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (2): 279-288.doi: https://doi.org/10.1007/s10483-020-2568-7

Merging phononic crystals and acoustic black holes

Xiaofei LYU¹, Qian DING^1,2, Tianzhi YANG^1,2

1. Department of Mechanics, Tianjin University, Tianjin 300350, China;
2. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin 300350, China

收稿日期:2019-08-17 修回日期:2019-11-18 发布日期:2020-01-03
通讯作者: Tianzhi YANG E-mail:yangtz@tju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 51575378, 11972245, and 11672187)

Merging phononic crystals and acoustic black holes

Xiaofei LYU¹, Qian DING^1,2, Tianzhi YANG^1,2

1. Department of Mechanics, Tianjin University, Tianjin 300350, China;
2. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin 300350, China

Received:2019-08-17 Revised:2019-11-18 Published:2020-01-03
Contact: Tianzhi YANG E-mail:yangtz@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51575378, 11972245, and 11672187)

摘要/Abstract

摘要： Phononic crystals (PCs) have recently been developed as effective components for vibration suppression and sound absorption. As a typical design of PCs, wave attenuation occurs in the so-called stop-band. However, the structural response is still significantly large in the pass-band. In this paper, we combine PCs and acoustic black holes (ABHs) in a unique device, achieving a versatile device that can attenuate vibration in the stop-band, while suppress vibration in the pass-band. This approach provides a versatile platform for controlling vibration in a multiband with a simple design.

关键词: acoustic black hole (ABH), phononic crystal (PC), transfer matrix method (TMM)

Abstract: Phononic crystals (PCs) have recently been developed as effective components for vibration suppression and sound absorption. As a typical design of PCs, wave attenuation occurs in the so-called stop-band. However, the structural response is still significantly large in the pass-band. In this paper, we combine PCs and acoustic black holes (ABHs) in a unique device, achieving a versatile device that can attenuate vibration in the stop-band, while suppress vibration in the pass-band. This approach provides a versatile platform for controlling vibration in a multiband with a simple design.

Key words: acoustic black hole (ABH), phononic crystal (PC), transfer matrix method (TMM)

中图分类号:

74H45

Xiaofei LYU, Qian DING, Tianzhi YANG. Merging phononic crystals and acoustic black holes[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(2): 279-288.

参考文献

[1] FEURTADO, P. A. and CONLON, S. C. Transmission loss of plates with embedded acoustic black holes. Journal of the Acoustical Socity of America, 142(3), 1390-1398(2017)
[2] KRYLOV, V. V. Acoustic black holes:recent developments in the theory and applications. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 61(8), 1296-1306(2014)
[3] TANG, L. L., CHENG, L., JI, H. L., and QIU, J. H. Characterization of acoustic black hole effect using a one-dimensional fully-coupled and wavelet-decomposed semi-analytical model. Journal of Sound and Vibration, 374, 172-184(2016)
[4] MIRONOV, M. A. Propagtion of a flexural wave in a plate whose thickness decrease smoothly to zero in a finite interval. Soviet Physics:Acoustics, 34, 318-319(1988)
[5] KRYLOV, V. V. New type of vibration dampers utilising the effect of acoustic ‘black holes’. Acta Acustica United with Acustica, 90(8), 830-837(2004)
[6] KRYLOV, V. V. and TILMAN, F. J. B. S. Acoustic black holes for flexural waves as effective vibration dampers. Journal of Sound and Vibration, 274, 605-619(2004)
[7] KRYLOV, V. V. and WINWARD, R. E. T. B. Experimental investigation of the acoustic black hole effect for flexural waves in tapered plates. Journal of Sound and Vibration, 300, 43-49(2007)
[8] TANG, L. L. and CHENG, L. Enhanced acoustic black hole effect in beams with a modified thickness profile and extended platform. Journal of Sound and Vibration, 391, 116-126(2017)
[9] LI, X. and DING, Q. Sound radiation of a beam with a wedge-shaped edge embedding acoustic black hole feature. Journal of Sound and Vibration, 439, 287-299(2019)
[10] LI, X. and DING, Q. Analysis on vibration energy concentration of the one-dimensional wedgeshaped acoustic black hole structure. Journal of Intelligent Material Systems and Structures, 29(10), 2137-2148(2018)
[11] ZHAO, L. X., CONLON, S. C., and SEMPERLOTTI, F. Broadband energy harvesting using acoustic black hole structural tailoring. Smart Materials and Structures, 23, 065021(2014)
[12] ZHAO, L. X. and SEMPERLOTTI, F. Embedded acoustic black holes for semi-passive broadband vibration attenuation in thin-walled structures. Journal of Sound and Vibration, 388, 42-52(2017)
[13] JI, H. L., LUO, J., QIU, J. H., and CHENG, L. Investigations on flexural wave propagation and attenuation in a modified one-dimensional acoustic black hole using a laser excitation technique. Mechanical Systems and Signal Processing, 104, 19-35(2018)
[14] WANG, Y. Z. and WANG, Y. S. Active control of elastic wave propagation in nonlinear phononic crystals consisting of diatomic lattice chain. Wave Motion, 78, 1-8(2018)
[15] LU, M. H., FENG, L., and CHEN, Y. F. Phononic crystals and acoustic metamaterials. Mater Today, 12, 34-42(2010)
[16] HUANG, Y., LIU, S., and ZHAO, J. A. Gradient-based optimization method for the design of layered phononic band-gap materials. Acta Mechanica Solida Sinica, 29(4), 429-443(2016)
[17] WANG, Y. F., WANG, T. T., LIU, J. P., WANG, Y. S., and LAUDE, V. Guiding and splitting lamb waves in coupled-resonator elastic waveguides. Composite Structures, 206, 588-593(2018)
[18] XIAO, Y., WEN, J. H., and WEN, X. S. Broadband locally resonant beams containing multiple periodic arrays of attached resonators. Physics Letters A, 376(16), 1384-1390(2012)
[19] LIU, Z., ZHANG, X., MAO, Y., ZHU, Y. Y., YANG, Z., CHAN, C. T., and SHENG, P. Locally resonant sonic materials. Science, 289(5485), 1734-1736(2000)
[20] KUSHWAHA, M. S., HALEVI, P., MARTINEZ, G., DOBRZYNSKI, L., and DJAFARIROUHANI, B. Theory of acoustic band structure of periodic elastic composites. Physical Review B:Condens Matter, 49(4), 2313-2322(1994)
[21] SIGALAS, M. M. and ECONOMOU, E. N. Elastic and acoustic wave band structure. Journal of Sound and Vibration, 158(2), 377-382(1992)
[22] CHEN, Y. J., HUANG, Y., LU, C. F., and CHEN, W. Q. A two-way unidirectional narrow-band acoustic filter realized by a graded phononic crystal. Journal of Applied Mechanics-Transactions of the ASME, 84(9), 091003(2017)
[23] HE, H. L., QIU, C. Y., YE, L. P., CAI, X. X., FAN, X. Y., KE, M. Z., ZHANG, F., and LIU, Z. Y. Topological negative refraction of surface acoustic waves in a Weyl phononic crystal. nature, 560, 61-64(2018)
[24] WANG, Y. F., WANG, Y. S., and ZHANG, C. Two-dimensional locally resonant elastic metamaterials with chiral comb-like interlayers:bandgap and simultaneously double negative properties. Journal of Acoustical Socity of America, 139, 3311-3319(2016)
[25] XU, C., CAI, F., XIE, S., LI, F., SUN, R., FU, X., XIONG, R., ZHANG, Y., ZHENG, H., and LI, J. Phononic crystal tunable via ferroelectric phase transition. Physical Review Applied, 4, 034009(2015)
[26] PENNEC, Y., DJAFARI-ROUHANI, B., VASSEUR, J. O., LARABI, H., KHELIF, A., CHOUJAA, A., BENCHABANE, S., LAVDE, V. Acoustic channel drop tunneling in a phononic crystal. Applied Physics Letters, 87(26), 261912(2005)
[27] ZHOU, W., CHEN, W., MUHAMMAD, and LIM, C. W. Surface effect on the propagation of flexural waves in periodic nano-beam and the size-dependent topological properties. Composite Structures, 216, 427-435(2019)
[28] CHANG, I. L., LIANG, Z. X., KAO, H. W., CHANG, S. H., and YANG, C. Y. The wave attenuation mechanism of the periodic local resonant metamaterial. Journal of Sound and Vibration, 412, 349-359(2018)
[29] JIA, Z., CHEN, Y. Y., YANG, H. X., and WANG, L. F. Designing phononic crystals with wide and robust band gaps. Physical Review Applied, 9(4), 044021(2018)
[30] JIN, Y., DJAFARI-ROUHANI, B., and TORRENT, D. Gradient index phononic crystals and metamaterials. Nanophotonics, 8, 685-701(2019)
[31] LI, Y., WEI, P., and WANG, C. Dispersion feature of elastic waves in a 1-D phononic crystal with consideration of couple stress effects. Acta Mechanica, 230(6), 2187-2200(2019)
[32] SUN, J. Vibration and sound radiation of non-uniform beams. Journal of Sound and Vibration, 185(5), 827-843(1995)
[33] GAO, F., WU, Z. J., LI, F. M., and ZHANG, C. Z. Numerical and experimental analysis of the vibration and band-gap properties of elastic beams with periodically variable cross sections. Waves in Random and Complex Media, 29, 299-316(2018)
[34] YU, D. L., WEN, J. H., ZHAO, H. G., LIU, Y. Z., and WEN, X. S. Vibration reduction by using the idea of phononic crystals in a pipe-conveying fluid. Journal of Sound and Vibration, 318, 193-205(2008)

Merging phononic crystals and acoustic black holes

Merging phononic crystals and acoustic black holes

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