Developing Sub-wavelength Sound Absorber Based on Coiled Up Tube Resonator

Iwan Prasetiyo, Elsa Nalita Wongso, Joko Sarwono

Abstract


Sub-wavelength sound absorbers are attractive for dealing with noise control at low-frequency (long-wavelength) sounds. To be efficient in absorbing the sound energy, resonator based absorbers are preferable over fibrous porous ones. In this paper, a coiling up space approach is introduced to a tube resonator system in order to realize a sub-wavelength absorber structure. In this way, the air channel of the tube resonator is a coplanar coiled up channel rather than a straight channel as found in conventional tube resonators. The effect of the geometrical properties of the aperture and the air channel were studied further to look at their relationship to impedance mismatch, which coiling up systems typically suffer from. It was found that the proposed approach could realize a sub-wavelength absorber system up to 1/32 wavelength of peak sound absorption. Selection of the shape and dimensions of the aperture must be done with great care as indicated by the measurement results. Moreover, the behavior of the coiled up tube resonator deviates from that of the straight tube as the reflection factor is increased, although the target resonance frequency is close to the target. It was also found that a squared aperture shape as well as increasing the cavity thickness is useful to deal with impedance mismatch.

Keywords


coiling up system; coplanar; sound absorber; sub-wavelength system; tube resonator

Full Text:

PDF

References


Li, Y., Liang, B., Gu, Z., Zou, X. & Cheng, J., Unidirectional Acoustic Transmission Through a Prism with Near-Zero Refractive Index, Applied Physics Letters, 103(5), 053505, pp.1-14, 2013.

Liang, Z. & Li, J., Extreme Acoustic Metamaterial by Coiling Up Space, Physical Review Letters, 108(11), 114301, pp.1-4, 2012.

Xie, Y., Popa, B-I., Zigoneanu, L. & Cummer, S.A., Measurement of a Broadband Negative Index with Space-Coiling Acoustic Metamaterials, Physical Review Letters, 110(17), 175501, pp.1-4, 2013.

Zhang, C. & Hu, X., Three-Dimensional Single-port Labyrinthine Acoustic Metamaterial: Perfect Absorption with Large Bandwidth and Tunability, Physical Review Applied, 6(6), 064025, pp.1-4, 2016.

Klipsch, P.W., A Low Frequency Horn of Small Dimensions, The Journal of the Acoustical Society of America, 13(2), pp. 137-144, 1941.

Yang, Z., Mei, J., Yang, M., Chan, N.H. & Sheng, P., Membrane-type Acoustic Metamaterial with Negative Dynamic Mass, Physical Review Letters, 101(20), 204301, pp.1-4, 2008.

Mei, J., Ma, G., Yang, M., Yang, Z., Wen, W. & Sheng, P., Dark Acoustic Metamaterials as Super Absorbers for Low-frequency Sound, Nature Communications, 3, Article No. 756, 2012. DOI: 10.1038/ ncomms1758.

Merkel, A., Theocharis, G., Richoux, O., Romero-García, V. & Pagneux, V., Control of Acoustic Absorption in One-Dimensional Scattering By Resonant Scatterers, Applied Physics Letters, 107(24), 244102, pp.1-4, 2015.

Achilleos, V., Richoux, O. & Theocharis, G., Coherent Perfect Absorption Induced by the Nonlinearity of A Helmholtz Resonator, The Journal of the Acoustical Society of America, 140(1), pp. EL94-EL100, 2016.

Fuchs, H. V. & Zha, X., Micro-Perforated Structures as Sound Absorbers - A Review and Outlook, Acta Acustica united with Acustica, 92(1), pp. 139-146, 2006.

Maa, D-Y., Potential of Microperforated Panel Absorber, The Journal of the Acoustical Society of America, 104(5), pp. 2861-2866, 1998.

Groby, J.P., Huang, W., Lardeau, A. & Aurégan, Y., The Use of Slow Waves to Design Simple Sound Absorbing Materials, Journal of Applied Physics, 117(12), pp. 124903, 2015.

Leclaire, P., Umnova, O., Dupont, T. & Panneton, R., Acoustical Properties of Air-saturated Porous Material with Periodically Distributed Dead-end Pores, The Journal of the Acoustical Society of America, 137(4), pp. 1772-1782, 2015.

Li, Y. & Assouar, B.M., Acoustic Metasurface-Based Perfect Absorber with Deep Subwavelength Thickness, Applied Physics Letters, 108(6), 063502, pp.1-4, 2016.

Cai, X., Guo, Q., Hu, G. & Yang, J., Ultrathin Low-frequency Sound Absorbing Panels Based on Coplanar Spiral Tubes or Coplanar Helmholtz Resonators, Applied Physics Letters, 105(12), 121901, pp.1-4, 2014.

Liu, L., Chang, H., Zhang, C. & Hu, X., Single-channel Labyrinthine Metasurfaces as Perfect Sound Absorbers with Tunable Bandwidth, Applied Physics Letters, 111(8), 083503, pp.1-4, 2017.

Yang, M., Chen, S., Fu, C. & Sheng, P., Optimal Sound-absorbing Structures, Materials Horizons, 4(4), pp. 673-680, 2017.

Ryoo, H. & Jeon, W., Perfect Sound Absorption of Ultra-Thin Metasurface Based on Hybrid Resonance And Space-Coiling, Applied Physics Letters, 113(12), 121903, pp.1-4, 2018.

Cambonie, T., Mbailassem, F. & Gourdon, E., Bending a Quarter Wavelength Resonator: Curvature Effects on Sound Absorption Properties, Applied Acoustics, pp. 13187-102, 2018.

Kinsler, L.E., Frey, A.R., Coppens, A.B. & Sanders, J.V., Fundamentals of Acoustics, 4th Edition, New York: John Wiley & Sons, 2000.

ISO, Standard 10534-2 Acoustics- Determination of Sound Absorption Coefficient and Impedance in Impedance Tubes- Transfer Function Method, 1998.

Wu, X., Fu, C., Li, X., Meng, Y., Gao, Y., Tian, J., Wang, L., Huang, Y., Yang, Z. & Wen, W., Low-Frequency Tunable Acoustic Absorber Based on Split Tube Resonators, Applied Physics Letters, 109(4), 043501, pp. 1-4, 2016.

Allard, J.F., Propagation of Sound in Porous Media, London: Elsevier, 1993.

Liang, Z., Feng, T., Lok, S., Liu, F., Ng, K.B., Chan, C.H., Wang, J., Han, S., Lee, S. & Li, J., Space-coiling Metamaterials with Double Negativity and Conical Dispersion, Scientific Reports, 31614, 2013. DOI: 10.1038/srep01614.

Frenzel, T., David Brehm, J., Bückmann, T., Schittny, R., Kadic, M. & Wegener, M., Three-dimensional Labyrinthine Acoustic Metamaterials, Applied Physics Letters, 103(6), 061907, pp. 1-4, 2013.

Yang, M., Meng, C., Fu, C., Li, Y., Yang, Z. & Sheng, P., Subwavelength Total Acoustic Absorption with Degenerate Resonators, Applied Physics Letters, 107(10), 104104, pp. 1-4, 2015.

Park, C. M., Park, J. J., Lee, S. H., Seo, Y. M., Kim, C. K. & Lee, S. H., Amplification of Acoustic Evanescent Waves Using Metamaterial Slabs, Physical Review Letters, 107(19), pp. 194301, 2011.




DOI: http://dx.doi.org/10.5614%2Fj.eng.technol.sci.2019.51.3.2

Refbacks

  • There are currently no refbacks.