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Three-component pillared phononic crystal plate containing viscoelastic material

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, No. 3888 Dong Nanhu Road, Changchun 130033, China

E-mail Address: 123476186@qq.com

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Gang Wang

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, No. 3888 Dong Nanhu Road, Changchun 130033, China

E-mail Address: wg@ciomp.ac.cn

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Lili Qi

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, No. 3888 Dong Nanhu Road, Changchun 130033, China

E-mail Address: qilili-1982@163.com

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Lei Wang

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, No. 3888 Dong Nanhu Road, Changchun 130033, China

E-mail Address: wanglei@ciomp.ac.cn

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, and

Lie Ma

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, No. 3888 Dong Nanhu Road, Changchun 130033, China

E-mail Address: hitmalie@126.com

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https://doi.org/10.1142/S0217984917501779Cited by:2 (Source: Crossref)

Abstract

Three-component pillared phononic crystal plates (PPCPs) usually contain viscoelastic materials. The influence of viscoelasticity on the band structures cannot be ignored. Based on the finite element method (FEM) and the standard linear solid model, this paper proposes a method to obtain the band structures of three-component PPCP containing viscoelastic rubber. The influence of the rubber storage modulus shifting along with frequency on the vibration band gaps is investigated, and the band structures of loss factor under different relaxation time are obtained.

Keywords:

References

1. M. S. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski and B. Djafari-Rouhani, Phys. Rev. B 49 (1994) 2313. Crossref, Web of Science, ADS, Google Scholar
2. R. Martinez-Sala, J. Sancho, J. V. Sanchez, V. Gómez, J. Llinares and F. Meseguer, Nature 378 (1995) 241. Crossref, Web of Science, ADS, Google Scholar
3. O. R. Bilal and M. I. Hussein, Appl. Phys. Lett. 103 (2013) 111901. Crossref, Web of Science, ADS, Google Scholar
4. Y. Pennec, B. Djafari-Rouhani, H. Larabi, J. O. Vasseur and A. C. Hladky-Hennion, Phys. Rev. B 78 (2008) 104105. Crossref, Web of Science, ADS, Google Scholar
5. M. Oudich, Y. Li, B. M. Assouar and Z. Hou, New J. Phys. 12 (2010) 083049. Crossref, Web of Science, Google Scholar
6. B. D. Rouhani, Y. Pennec, E. H. El Boudouti, J. O. Vasseur, Y. El Hassouani, C. Li and D. Bria, Appl. Phys. A 103 (2011) 735. Crossref, Web of Science, ADS, Google Scholar
7. M. B. Assouar and M. Oudich, Appl. Phys. Lett. 100 (2012) 123506. Crossref, Web of Science, ADS, Google Scholar
8. M. B. Assouar, J. H. Sun, F. S. Lin and J. C. Hsu, Ultrasonics 54 (2014) 2159. Crossref, Web of Science, Google Scholar
9. Y. Xiao, J. Wen, L. Huang and X. Wen, J. Phys. D: Appl. Phys. 47 (2013) 045307. Crossref, Web of Science, Google Scholar
10. G. Wang, J. H. Wen, Y. Z. Liu, D. L. Yu and H. G. Zhao, Chin. J. Mech. Eng. 40 (2004) 47. Crossref, Google Scholar
11. J. H. Wen, G. Wang, Y. Z. Liu and H. G. Zhao, J. Vibration Eng. 18 (2005) 1. Google Scholar
12. Y. P. Zhao and P. J. Wei, Comput. Mater. Sci. 46 (2009) 603. Crossref, Web of Science, Google Scholar
13. P. J. Wei and Y. P. Zhao, Mech. Adv. Mater. Struct. 17 (2010) 383. Crossref, Web of Science, Google Scholar
14. S. W. Zhang, J. H. Wu and Z. Y. Liu, Acad. J. Xian Jiaotong Univ. 48 (2014) 22. Google Scholar
15. M. I. Hussein and M. J. Frazier, J. Appl. Phys. 108 (2010) 093506. Crossref, Web of Science, Google Scholar
16. M. I. Hussein, Phys. Rev. B 80 (2009) 212301. Crossref, Web of Science, ADS, Google Scholar
17. B. Merheb, P. A. Deymier, M. Jain, M. Aloshyna-Lesuffleur, S. Mohanty, A. Berker and R. W. Greger, J. Appl. Phys. 104 (2008) 064913. Crossref, Web of Science, Google Scholar
18. Y. Z. Wang, F. M. Li, W. H. Huang, X. Jiang, Y. S. Wang and K. Kishimoto, Int. J. Solids Struct. 45 (2008) 4203. Crossref, Web of Science, Google Scholar
19. Y. Z. Wang, F. M. Li, K. Kishimoto, Y. S. Wang and W. H. Huang, Eur. J. Mech.-A, Solids 29 (2010) 182. Crossref, Web of Science, Google Scholar
20. G. Q. Zhou and X. M. Liu, Viscoelastic Theory (Press of University of Science and Technology of China, Hefei, 1996). Google Scholar
21. H. Liu, The Application of Viscous Elastic Damping Technology for Vibration and Noise Control (Aerospace Press, Beijing, 1990). Google Scholar