Low-Frequency Sound Absorption Potential of Subwavelength Absorbers Based on Coupled Micro-Slit Panels

Downloads

Authors

  • Yujie QIAN Hohai University, China ORCID ID 0000-0002-6881-3759
  • Zhengyuan GAO Hohai University, China
  • Jie ZHANG Hohai University, China

Abstract

Due to space limitations during installation, reducing low-frequency noise has always been a challenging area. Sub-wavelength structures are typically favored in such scenarios for noise reduction. This paper explores the potential of micro-slit panels (MSP) for low-frequency sound absorption. To further optimize the panel thickness, coupled MSPs (CMSP) with a distance between two MSPs of less than 1 mm are proposed. Firstly, the low-frequency absorption performances of a single MSP based on two optimized schemes – the cavity-depth optimal scheme (COS) and the panel thickness optimal scheme (TOS) – are examined and compared with those of existing ultrathin metamaterials. The results demonstrate that MSP has significant potential for low frequency sound absorption, and COS allows for a smaller overall structural thickness but a larger panel thickness than TOS. Secondly, to reduce the panel thickness, the CMSP is developed and the theoretical model of its acoustic impedance is established and validated by experiments. Then, based on the theoretical model, the low-frequency absorption potential of CMSP is optimized using COS. The results show that both the overall thickness and the panel thickness of the CMSP absorber are reduced while maintaining better performance. Furthermore, the proposed absorber achieves a subwavelength scale since its total thickness can be as small as 0.138λ.

Keywords:

coupled MSP (CMSP), cavity-depth optimal scheme (COS), panel thickness optimal scheme (TOS), low frequency, absorption performance

References

1. Allard J.F., Atalla N. (2009), Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials, Wiley, Chichester, https://doi.org/10.1002/9780470747339

2. Almeida G.N., Erasmo F.V., Barbosa L.R., Lenzi A., Birch R.S. (2021a), Sound absorption metasurface with symmetrical coiled spaces and micro slit of variable depth, Applied Acoustics, 183: 108312, https://doi.org/10.1016/j.apacoust.2021.108312

3. Almeida G.N., Vergara E.F., Barbosa L.R., Brum R. (2021b), Low-frequency sound absorption of a metamaterial with symmetrical-coiled-up spaces, Applied Acoustics, 172: 107593, https://doi.org/10.1016/j.apacoust.2020.107593

4. Cai X.B., Guo Q.Q., Hu G.K., Yang J. (2014), Ultrathin low-frequency sound absorbing panels based on coplanar spiral tubes or coplanar Helmholtz resonator, Applied Physics Letters, 105: 121901, https://doi.org/10.1063/1.4895617

5. Cheng Y., Zhou C., Yuan B.G., Wu D.J., Wei Q., Liu X.J. (2015), Ultra-sparse metasurface for high reflection of low-frequency sound based on artificial Mie resonances, Nature Mater, 14: 1013–1019, https://doi.org/10.1038/nmat4393

6. Chong Y., Ge L., Cao H., Stone A.D. (2010), Coherent perfect absorbers: Time-reversed lasers, Physical Review Letters, 105(5): 053901, https://doi.org/10.1103/PhysRevLett.105.053901

7. Donda K., Zhu Y., Fan S.-W., Cao L., Li Y., Assouar B. (2019), Extreme low-frequency ultrathin acoustic absorbing metasurface, Applied Physics Letter, 115(17): 173506, https://doi.org/10.1063/1.5122704

8. Jiménez N., Romero-García V., Pagneux V., Groby J.-P. (2017a), Quasi-perfect absorption by subwavelength acoustic panels in transmission using accumulation of resonances due to slow sound, Physical Review Journals, 957: 014205, https://doi.org/10.1103/Phys RevB.95.014205.

9. Jiménez N., Romero-García V., Pagneux V., Groby J.-P. (2017b), Rainbow-trapping absorbers: Broadband, perfect and asymmetric sound absorption by subwavelength panels for transmission problems, Scientific Reports, 7: 13595, https://doi.org/10.1038/s41598-017-13706-4

10. Jiménez N., Huang W., Romero-García V., Pagneux V., Groby J.-P. (2016), Ultra-thin metamaterial for perfect and quasi-omnidirectional sound absorption, Applied Physics Letters, 109: 121902, https://doi.org/10.1063/1.4962328

11. Lara-Valencia L.A., Farbiarz-Farbiarz Y., Valencia-González Y. (2020), Design of a tuned mass damper inerter (TMDI) based on an exhaustive search optimization for structural control of buildings under seismic excitations, Shock and Vibration, 2020: 8875268, https://doi.org/10.1155/2020/8875268

12. Li Y., Assouar B.M. (2016), Acoustic metasurface-based perfect absorber with deep subwavelength thickness, Applied Physics Letter, 108(6): 063502, https://doi.org/10.1063/1.4941338

13. Liang Z.X., Li J. (2012), Extreme acoustic metamaterial by coiling up space, Physical Review Journals, 108: 114301, https://doi.org/10.1103/PhysRevLett.108.114301

14. Liu C.M., Xia B.Z., Yu D.J. (2017), The spiral-labyrinthine acoustic metamaterial by coiling up space, Physics Letters A, 381(36): 3112–3118, https://doi.org/10.1016/j.physleta.2017.07.041

15. Liu X., Wang C.Q., Zhang Y.M., Huang L.X. (2021a), Investigation of broadband sound absorption of smart micro-perforated panel (MPP) absorber, International Journal of Mechanical Sciences, 199: 106426, https://doi.org/10.1016/j.ijmecsci.2021.106426

16. Liu Y.Y., Ren S.W., Sun W., Lei Y., Wang H.T., Zeng X.Y. (2021b), Broadband low-frequency sound absorbing metastructures based on impedance matching coiled-up cavity, Applied Physics Letter, 119(10): 101901, https://doi.org/10.1063/5.0061012

17. Ma G., Sheng P. (2016), Acoustic metamaterials: From local resonances to broad horizons, Science Advances, 2(2): e1501595, https://doi.org/10.1126/sciadv.1501595

18. Maa D.Y. (1998), Potential of microperforated panel absorber, The Journal of the Acoustical Society of America, 104(5): 2861–2866, https://doi.org/10.1121/1.423870

19. Maa D.Y. (2000), Theory of microslit absorbers [in Chinese], Acta Acustica, 25(6): 481–485, https://doi.org/10.15949/j.cnki.0371-0025.2000.06.001

20. Mei J., Ma G., Yang M. (2012), Dark acoustic metamaterials as super absorbers for low-frequency sound, Nature Communications, 3: 756, https://doi.org/10.1038/ncomms1758

21. Park S.H. (2013), Acoustic properties of microperforated panel absorbers backed by Helmholtz resonators for the improvement of low-frequency sound absorption, Journal of Sound and Vibration, 332(20): 4895–4911, https://doi.org/10.1016/j.jsv.2013.04.029

22. Pierro V. et al. (2021), Ternary quarter wavelength coatings for gravitational wave detector mirrors: Design optimization via exhaustive search, Physics Review Research, 3(2): 023172, https://doi.org/10.1103/PhysRev Research.3.023172.

23. Randeberg R.T. (2000), Perforated panel absorbers with viscous energy dissipation enhanced by orifice design, Ph.D. Thesis, Norwegian University of Science and Technology, Trondheim.

24. Ryoo H., Jeon W. (2018), Perfect sound absorption of ultra-thin metasurface based on hybrid resonance and space-coiling, Applied Physics Letter, 113(12): 121903, https://doi.org/10.1063/1.5049696

25. Shen Y., Yang Y., Guo X., Shen Y., Zhang D. (2019), Low-frequency anechoic metasurface based on coiled channel of gradient cross-section, Applied Physics Letter, 114(8): 083501, https://doi.org/10.1063/1.5081926

26. Vigran T.E. (2014), The acoustic properties of panels with rectangular apertures, The Journal of the Acoustical Society of America, 135(5): 2777–2784, https://doi.org/10.1121/1.4871363

27. Wang Y., Zhao H.G., Yang H.B., Zhong J., Zhao D., Lu Z.L., Wen J.H. (2018), A tunable sound-absorbing metamaterial based on coiled-up space, Journal of Applied Physics, 123(18): 185109, https://doi.org/10.1063/1.5026022

28. Wu F., Xiao Y., Yu D.L., Zhao H.G., Wang Y., Wen J.H. (2019), Low-frequency sound absorption of hybrid absorber based on micro-perforated panel and coiled-up channels, Applied Physics Letters, 114: 151901, https://doi.org/10.1063/1.5090355

29. Wu Y., Liang Q., He J., Feng J., Chen T. (2021), Deep-subwavelength broadband sound absorbing metasurface based on the update finger coiling-up method, Applied Acoustics, 195: 108846, https://doi.org/10.1016/j.apacoust.2022.108846

30. Xu Z.M., He W., Peng X.G., Xin F.X., Lu T.J. (2020), Sound absorption theory for micro-perforated panel with petal-shaped perforations, The Journal of the Acoustical Society of America, 148(18): 18–24, https://doi.org/10.1121/10.0001462

31. Zhao H., Wang Y., Wen J., Lam Y.W., Umnova O. (2018), A slim subwavelength absorber based on coupled microslits, Applied Acoustics, 142: 11–17, https://doi.org/10.1016/j.apacoust.2018.08.004

32. Zhu Y.F., Donda K., Fan S.W., Cao L.Y., Assouar B. (2019), Broadband ultra-thin acoustic metasurface absorber with coiled structure, Applied Physics Express, 12: 114002, https://doi.org/10.7567/1882-0786/ab494a