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Large Band Gaps of Petal-Shaped Acoustic Metamaterials Based on Local Resonance

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Abstract

Aims

To get stronger coupling strength of the Lame wave and local resonant eigenmodes, to widen band gaps (BGs) of acoustic metamaterials and to clearly explain the formation mechanism of wider BGs.

Method

Complete band gaps (BGs) and the formation mechanism of them for the proposed unit cell (UC) with petal-shaped components are calculated and analyzed by numerical simulations. The vibration modes of band-gap edge are calculated and analyzed by finite element method. Finally, an experimental test is done to support simulation result.

Results

Compared to UC without petal-shaped components, the petal-shaped UC can generate wider band gaps (BGs) below 400 Hz. Owing to the special geometry of proposed UC, the stronger coupling strength of the Lame wave and local resonant eigenmodes is realized. The proposed UC is demonstrated to possess a maximal relative bandwidth 95.4%.

Conclusions

Outstanding property of BGs of the proposed UC is mainly due to stronger local resonance associated with petal-shaped components.

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References

  1. Economou EN, Sigalas MM (1993) Acoustic band structure of periodic elastic composites. Phys Rev Lett 48:134–143

    Google Scholar 

  2. Ma F, Wu JH, Huang M, Zhang W, Zhang S (2015) A purely flexible lightweight membrane-type acoustic metamaterial. Phys Appl Phys D 48:175–185

    Google Scholar 

  3. Dongbao G, Xuan Jun L, Zhang Fu T, Ze Min Z, Xin Wu Z, Kai Feng H (2017) Experimental study on low-frequency broadband sound insulation structure based on 2D Helmholtz cavity array. Acta Phys Sin 66:143–154

    Google Scholar 

  4. Du G, Zhu Z, Gong X (2001) The basis of acoustics, 2nd edn. Nanjing University Press, Nanjing

    Google Scholar 

  5. Mei J, Ma G, Yang M, Yang Z, Wen W, Sheng P (2012) Dark acoustic metamaterials as super absorbers for low-frequency sound. Nat Commun 10:1038

    Google Scholar 

  6. Kushwaha MS, Halevi P, Dobrzynski L (1993) Acoustic band structure of periodic elastic composites. Phys Rev Lett 71:2022

    Article  Google Scholar 

  7. Liu Y, Zhou X, Hu G (2012) The research of propagation characteristics of bending wave in thin plate of metamaterials [A]. In: 18th GAMM in Beijing, pp 4748

  8. Liu Z, Chan CT, Sheng P (2004) Double-negative acoustic metamaterial. Phys Rev E 65:165–171

    Google Scholar 

  9. Liu Z, Zhang X, Mao Y, ZhuY Y, Yang Z, Chan CT, Sheng P (2000) Locally resonant sonic materials. Science 289:1734–1740

    Article  Google Scholar 

  10. Hirsekorn M (2004) Small-size sonic crystals with strong attenuation bands in the audible frequency range. Appl Phys Lett 84:3364–3371

    Article  Google Scholar 

  11. Assouar MB, Oudich M (2012) Enlargement of a locally resonant sonic band gap by using double-sides stubbed phononic plates. Appl Phys Lett 100:123–130

    Google Scholar 

  12. Mei J, Ma G, Yang M, Yang J, Sheng P (2013) Dynamic mass density and acoustic metamaterials. In: Deymier P (eds) Acoustic metamaterials and phononic crystals. Springer series in solid-state sciences, vol 173. Springer, Berlin, pp 159–199

    Chapter  Google Scholar 

  13. Oudich M, Li Y, Assouar BM, Hou Z (2010) A sonic band gap based on the locally resonant phononic plates with stubs. New J Phys 12:383–392

    Article  Google Scholar 

  14. Bilal OR, Hussein MI (2013) Trampoline metamaterial: local resonance enhancement by springboards. Appl Phys Lett 103:111–119

    Article  Google Scholar 

  15. Wei R, Wu B, He C, Zhao H (2009) Phononic band structure in a two-dimensional hybrid triagular graphite lattice. Phys B 404:3795–3798

    Article  Google Scholar 

  16. Zhang S, Wu JH, Hu Z (2013) Low-frequency locally resonant band-gaps in phononic crystal plates with periodic spiral renanators. Appl Phys 113:16–21

    Google Scholar 

  17. Tempest W, Bryan ME (1976) Infrasound and low frequency vibration. Appl Acoust 6:219 (Academic Press, London)

    Google Scholar 

  18. Chiroiu V, Girip I, Llie R (2017) Acoustic wave propagation in sonic composites. J Vib Eng Technol 5:217–222

    Google Scholar 

  19. Wu J, Wang G (2014) A kind of lightweight membrane-type sound insulation device of metamaterials with broadband gap. P China, CN103594080A

  20. Wen X, Wen J, Dianlong Y, Wang G (2009) Phononic crystals. National Defense Industry Press, Beijing

    MATH  Google Scholar 

  21. Wang Y, Wang Y, Xiaoxing S (2011) Large bandgaps of two-dimensional phononic crystals with cross-like holes. Appl Phys 110:1135–1143

    Google Scholar 

  22. Yang Z, Dai HM, Chan NH, Ma GC, Sheng P (2010) Acoustic metamaterial panels for sound attenuation in the 50–1000 Hz regime. Appl Phys Lett 96:41904196

    Google Scholar 

  23. Yang Z, Mei J, Yang M, Chan N, Sheng P (2008) Membrane-type acoustic metamaterial with negative dynamic mass. Phys Rev Lett 101:2043–2051

    Google Scholar 

  24. Xiao Y, Wen J, Wen X (2012) Flexural wave band gaps in locally resonant thin plates with periodically attached spring-mass resonator. J Phys D Appl Phys 45:195–202

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Civil and Mechanics Engineering, Jiangsu University, Zhenjiang, 212013, People’s Republic of China

    Lin Chen & Rong Zhou

  2. Department of Engineering Science and Mechanics, The Pennsylvania State University Park, Centre County, PA, 16802, USA

    Yu-Sheng Bian

Authors
  1. Lin Chen
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  2. Yu-Sheng Bian
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  3. Rong Zhou
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Corresponding author

Correspondence to Lin Chen.

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Chen, L., Bian, YS. & Zhou, R. Large Band Gaps of Petal-Shaped Acoustic Metamaterials Based on Local Resonance. J. Vib. Eng. Technol. 7, 53–61 (2019). https://doi.org/10.1007/s42417-018-0075-7

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  • DOI: https://doi.org/10.1007/s42417-018-0075-7

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