Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity

doi:10.1088/1674-1056/ac9783

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 44301-044301.doi: 10.1088/1674-1056/ac9783

Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity

Shiqi Liang(梁诗琪)¹, Jiehui Liu(刘杰惠)¹, Yun Lai(赖耘)^1,†, and Xiaozhou Liu(刘晓宙)^1,2,‡

1 Key Laboratory of Modern Acoustics, Institute of Acoustics and School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
2 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2022-08-06 修回日期:2022-09-27 接受日期:2022-10-05 出版日期:2023-03-10 发布日期:2023-03-30
通讯作者: Yun Lai, Xiaozhou Liu E-mail:laiyun@nju.edu.cn;xzliu@nju.edu.cn
基金资助:
Project supported by the National Key Research and Development program of China (Grant No. 2020YFA0211400), the State Key Program of the National Natural Science of China (Grant No. 11834008), the National Natural Science Foundation of China (Grant No. 12174192), the Fund from the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA202008), and the Fund from the Key Laboratory of Underwater Acoustic Environment, Chinese Academy of Sciences (Grant No. SSHJ-KFKT-1701).

Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity

Shiqi Liang(梁诗琪)¹, Jiehui Liu(刘杰惠)¹, Yun Lai(赖耘)^1,†, and Xiaozhou Liu(刘晓宙)^1,2,‡

1 Key Laboratory of Modern Acoustics, Institute of Acoustics and School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
2 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

Received:2022-08-06 Revised:2022-09-27 Accepted:2022-10-05 Online:2023-03-10 Published:2023-03-30
Contact: Yun Lai, Xiaozhou Liu E-mail:laiyun@nju.edu.cn;xzliu@nju.edu.cn
Supported by:
Project supported by the National Key Research and Development program of China (Grant No. 2020YFA0211400), the State Key Program of the National Natural Science of China (Grant No. 11834008), the National Natural Science Foundation of China (Grant No. 12174192), the Fund from the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA202008), and the Fund from the Key Laboratory of Underwater Acoustic Environment, Chinese Academy of Sciences (Grant No. SSHJ-KFKT-1701).

摘要/Abstract

摘要： Nonlinear phononic crystals have attracted great interest because of their unique properties absent in linear phononic crystals. However, few researches have considered the bilinear nonlinearity as well as its consequences in acoustic metamaterials. Hence, we introduce bilinear nonlinearity into acoustic metamaterials, and investigate the propagation behaviors of the fundamental and the second harmonic waves in the nonlinear acoustic metamaterials by discretization method, revealing the influence of the system parameters. Furthermore, we investigate the influence of partially periodic nonlinear acoustic metamaterials on the second harmonic wave propagation, and the results suggest that pass-band and band-gap can be transformed into each other under certain conditions. Our findings could be beneficial to the band gap control in nonlinear acoustic metamaterials.

关键词: bilinear nonlinearity, phononic crystal, band-gap manipulation, nonlinear acoustic metamaterial

Abstract: Nonlinear phononic crystals have attracted great interest because of their unique properties absent in linear phononic crystals. However, few researches have considered the bilinear nonlinearity as well as its consequences in acoustic metamaterials. Hence, we introduce bilinear nonlinearity into acoustic metamaterials, and investigate the propagation behaviors of the fundamental and the second harmonic waves in the nonlinear acoustic metamaterials by discretization method, revealing the influence of the system parameters. Furthermore, we investigate the influence of partially periodic nonlinear acoustic metamaterials on the second harmonic wave propagation, and the results suggest that pass-band and band-gap can be transformed into each other under certain conditions. Our findings could be beneficial to the band gap control in nonlinear acoustic metamaterials.

Key words: bilinear nonlinearity, phononic crystal, band-gap manipulation, nonlinear acoustic metamaterial

中图分类号: (Nonlinear acoustics)

43.25.+y

43.25.Ed (Effect of nonlinearity on velocity and attenuation) 43.35.-c (Ultrasonics, quantum acoustics, and physical effects of sound)

Shiqi Liang(梁诗琪), Jiehui Liu(刘杰惠), Yun Lai(赖耘), and Xiaozhou Liu(刘晓宙). Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity[J]. 中国物理B, 2023, 32(4): 44301-044301.

Shiqi Liang(梁诗琪), Jiehui Liu(刘杰惠), Yun Lai(赖耘), and Xiaozhou Liu(刘晓宙). Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity[J]. Chin. Phys. B, 2023, 32(4): 44301-044301.

参考文献

[1] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T and Sheng P 2000 Science 289 1734
[2] Yang Z, Mei J, Yang M, Chan N H and Sheng P 2008 Phys. Rev. Lett. 101 204301
[3] Mei J, Ma G, Yang M, Yang Z Y, Wen W J and Sheng P 2012 Nat. Commun. 3 756
[4] Li J and Chan C T 2004 Phys. Rev. E 70 055602
[5] Feng L, Liu X P, Chen Y B, Huang Z P, Mao Y W, Chen Y F, Zi J and Zhu Y Y 2005 Phys. Rev. B 72 033108
[6] Seo Y M, Park J J, Lee S H, Park C M, Kim C K and Lee S H 2012 J. Appl. Phys. 111 023504
[7] Yang M, Ma G C, Yang Z Y and Sheng P 2013 Phys. Rev. Lett. 110 134301
[8] Alagoz S, Alagoz B B, Sahin A and Nur S 2015 Chin. Phys. B 24 046201
[9] Ke M Z, Liu Z Y, Cheng Z G, Li J, Peng P and Shi J 2007 Solid State Commun. 142 177
[10] Li J, Fok L, Yin X B, Bartal G and Zhang X 2009 Nat. Mater. 8 931
[11] Jia H, Ke M Z, Hao R, Ye Y T, Liu F M and Liu Z Y 2010 Appl. Phys. Lett. 97 173507
[12] Yang X S, Yin J, Yu G K, Peng L H and Wang N 2015 Appl. Phys. Lett. 107 193505
[13] Zhu X F, Liang B, Kan W W, Zou X Y and Cheng J C 2011 Phys. Rev. Lett. 106 014301
[14] Li T H, Huang M, Yang J J, Lan Y Z and Sun J 2012 J. Vib. Acoust. 134 051016
[15] Li B L, Li T H, Wu J, Hui M, Yuan G and Zhu Y S 2017 Acoust. Phys. 63 45
[16] Cai C, Yuan Y, Kan W W, Yang J and Zou X Y 2016 Chin. Phys. B 25 124302
[17] Ren C Y, Xiang Z H and Cen Z Z 2011 Chin. Phys. B 20 114301
[18] Liang B, Guo X S, Tu J, Zhang D and Cheng J C 2010 Nat. Mater. 9 989
[19] Fang X, Wen J H, Bonello B, Yin J F and Yu D L 2017 Nat. Commun. 8 1288
[20] Guo X X, Gusev V E, Bertoldi K and Tournat V 2018 J. Appl. Phys. 123 124901
[21] Kulkarni P P and Manimala J M 2019 Acta Mechanica 230 2521
[22] Grinberg I and Matlack K H 2020 Wave Motion 93 102466
[23] Golub M V, Doroshenko O V, Fomenko S I, Wang Y Z and Zhang C Z 2021 International Journal of Solids and Structures 212 1
[24] Jeon G J and Oh J H 2021 Phys. Rev. E 103 012212
[25] Dutta D, Sohn H, Harries K A and Rizzo P 2009 Structural Health Monitoring 8 251

Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity

Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity

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