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Study on the band gap optimization and defect state of two-dimensional honeycomb phononic crystals

Published online by Cambridge University Press:  10 September 2020

Hanbo Shao ,
Huan He Open the ORCID record for Huan He [Opens in a new window] ,
Cheng He  and
Guoping Chen
Hanbo Shao
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu210016, China
Huan He*
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu210016, China
Cheng He
Affiliation:
Key Laboratory of Unmanned Aerial Vehicle Technology, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing210016, China
Guoping Chen
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street No. 29, Nanjing, Jiangsu210016, China
*
a)Address all correspondence to this author. e-mail: hehuan@nuaa.edu.cn
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Abstract

Honeycomb phononic crystal can obtain wider band gaps in the low frequency based on local resonance theory. Its band structure can be adjustable if we change the height of the cores, which means different kinds of honeycomb phononic crystal can be selected on the basis of different damping demands. Meanwhile, the point defects and line defects affect the localized modes of sound waves and propagation characteristics, the dispersion relations and the displacement fields of the eigenmodes are calculated in the defected systems, as well as the propagation behaviors in the frequency ranges of the band structure, which are also discussed in detail. We constructed the model based on the periodic boundary condition and calculated the band structure according to Bloch theory, and also performed a series of simulation through the COMSOL software, showing that honeycomb has excellent features in reducing noise and vibration, which has a far-reaching influence in designing the new type of acoustic wave devices.

Keywords

honeycombadjustabledefectsreduce noise
Type
Article
Information
Journal of Materials Research , Volume 35 , Issue 21 , 16 November 2020 , pp. 3021 - 3030
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Copyright
Copyright © The Author(s), 2020, published on behalf of Materials Research Society by Cambridge University Press

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References

Chen, J.J., Zhang, K.W., Gao, J., and Cheng, J.C.: Stopbands for lower-order Lamb waves in one-dimensional composite thin plates. Phys. Rev. B 73 (2006).CrossRefGoogle Scholar
Zhu, R., Huang, G.L., Huang, H.H., and Sun, C.T.: Experimental and numerical study of guided wave propagation in a thin metamaterial plate. Phys. Lett. A 375, 2863–2867 (2011).CrossRefGoogle Scholar
Wang, Y.F. and Wang, Y.S.: Multiple wide complete bandgaps of two-dimensional phononic crystal slabs with cross-like holes. J. Sound Vib. 332, 2019–2037 (2013).CrossRefGoogle Scholar
Charles, C., Bonello, B., and Ganot, F.: Propagation of guided elastic waves in 2D phononic crystals.. Ultrasonics 44, e1209 (2006).CrossRefGoogle ScholarPubMed
Liu, S., Li, S., Shu, H., Wang, W., Shi, D., Dong, L., Lin, H., and Liu, W.: Research on the elastic wave band gaps of curved beam of phononic crystals. Phys. B: Condens. Matter. 457, 82–91 (2015).Google Scholar
Taniker, S. and Yilmaz, C.: Phononic gaps induced by inertial amplification in BCC and FCC lattices. Phys. Lett. A 377, 1930–1936 (2013).Google Scholar
Han, L., Zhang, Y., Ni, Z.Q., Zhang, Z.M., and Jiang, L.H.: A modified transfer matrix method for the study of the bending vibration band structure in phononic crystal Euler beams. Phys. B: Condens. Matter. 407, 4579–4583 (2012).CrossRefGoogle Scholar
Shao, H., He, H., Chen, G., and Chen, Y.: Two new designs of lamp-type piezoelectric metamaterials for active wave propagation control. Chin. J. Phys. 65, 1–13 (2020).CrossRefGoogle Scholar
Mei, J., Ma, G., Yang, M., Yang, Z., Wen, W., and Sheng, P.: Dark acoustic metamaterials as super absorbers for low-frequency sound. Nat. Commun. 3, 756 (2012).CrossRefGoogle ScholarPubMed
Lu, K., Wu, J.H., Guan, D., Gao, N.S., and Jing, L.: A lightweight low-frequency sound insulation membrane-type acoustic metamaterial. AIP Adv. 6, 1373 (2016).CrossRefGoogle Scholar
Tanaka, Y. and Tamura, S.I.: Surface acoustic waves in two-dimensional periodic elastic structures. Phys. Rev. B 58, 7958–7965 (1998).Google Scholar
Kushwaha, M.S. and Halevi, P.: Stop bands for cubic arrays of spherical balloons. J. Acoust. Soc. Am. 101, 619–622 (1997).CrossRefGoogle Scholar
Zhiming, L.: Study on the Characteristics of Phononic Crystal Bandgap (National University of Defense Technology, Beijing, China, 2005).Google Scholar
Miao, L., Li, C., Lei, L., Fang, H., and Liang, X.: A new periodic structure composite material quasi-phononic crystals. Phys. Lett. A 384, 7 (2020).CrossRefGoogle Scholar
Wei-Kai, X.U., Meng, Z., and Jin-Ying, N.: Study on bandgap of two-dimensional non-convex single-phase phononic crystals. J. Shenyang Aerosp. Univ. 35, 46 (2018).Google Scholar
Yang, L., Xie, Y., and Yu, P.: Study of bandgap characteristics of 2D magnetoplasma photonic crystal by using M-FDTD method. Microw. Opt. Technol. Lett. 53, 1778–1784 (2011).CrossRefGoogle Scholar
Yan, X., Liang, L.J., Zhang, X.F., Xue, D., and Wei, D.: Study of bandgap characteristics of three-dimensional photonic crystal with typical structures. Optik 126, 1613–1616 (2015).CrossRefGoogle Scholar
Liu, Z., Zhang, X., Mao, Y., Zhu, Y.Y., Chan, C.T., and Sheng, P.: Locally resonant sonic materials. Science 289, 1734 (2000).CrossRefGoogle ScholarPubMed
Wen, X.: Phononic Crystal (National Defence Industry Press, Beijing, China, 2009).Google Scholar
Zhang, Z. and Han, X.K.: A new hybrid phononic crystal in low frequencies. Phys. Lett. A 380, 3766–3772 (2016).CrossRefGoogle Scholar
Zhao, H.-Y., He, C.-F., Wu, B., and Wang, Y.-S.: Experimental investigation of two-dimensional multi-point defect phononic crystals with square lattice. Physics 62, 134301–134301 (2013).Google Scholar
Liu, X.F., Wang, Y.F., Wang, Y.S., and Zhang, C.Z.: Wave propagation in a sandwich plate with a periodic composite core. J. Sandwich Struct. Mater. 16, 319–338 (2014).CrossRefGoogle Scholar
Gao, Z., Fang, J., and Zhang, Y.: Band structure research of a 2D honeycomb lattice phononic crystal. In Postdoctoral Symposium of China on Materials Science & Engineering-Advanced Materials for Sustainable Development, 19-10-2012, Shanghai, China.Google Scholar
Sun, J.H. and Wu, T.T.: Propagation of acoustic waves in phononic-crystal plates and waveguides using a finite-difference time-domain method. Phys. Rev. B 76, 104–304 (2007).CrossRefGoogle Scholar
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