Parametric Study on Rectangular Sonic Crystal

Abstract:

Sonic crystals are periodic structures made of sound hard scatterers which attenuate sound in a range of frequencies. For an infinite periodic structure, this range of frequencies is known as band gap, and is determined by the geometric arrangement of the scatterers. In this paper, a parametric study on rectangular sonic crystal is presented. It is found that geometric spacing between the scatterers in the direction of sound propagation affects the center frequency of the band gap. Reducing the geometric spacing between the scatterers in the direction perpendicular to the sound propagation helps in better sound attenuation. Such rectangular arrangement of scatterers gives better sound attenuation than the regular square arrangement of scatterers. The model for parametric study is also supported by some experimental results.

• Periodical: Applied Mechanics and Materials (Volumes 152-154)
• Pages: 281-286
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.152-154.281
• Online since: January 2012
• Authors: Arpan Gupta, Kian Meng Lim, Chye Heng Chew
• Keywords: Periodic Structure, Rectangular Sonic Crystal, Webster Horn Equation

References

[1] Joannopoulos, J.D., Photonic crystals: molding the flow of light. 2008: Princeton University Press.

[2] Hussein, M.I. and M.J. Frazier, Band structure of phononic crystals with general damping. Journal of Applied Physics, 2010. 108(9).

DOI: 10.1063/1.3498806

[3] Sigalas, M.M. and E.N. Economou, Elastic and Acoustic-Wave Band-Structure. Journal of Sound and Vibration, 1992. 158(2): pp.377-382.

DOI: 10.1016/0022-460x(92)90059-7

[4] Shull, P.J., D.E. Chimenti, and S.K. Datta, Elastic Guided-Waves and the Floquet Concept in Periodically Layered Plates. Journal of the Acoustical Society of America, 1994. 95(1): pp.99-108.

DOI: 10.1121/1.408270

[5] Wu, F.G., et al., Acoustic band gaps in two-dimensional rectangular arrays of liquid cylinders. Solid State Communications, 2002. 123(5): pp.239-242.

DOI: 10.1016/s0038-1098(02)00203-x

[6] Chen, Y.Y. and Z. Ye, Acoustic attenuation by two-dimensional arrays of rigid cylinders. Physical Review Letters, 2001. 87(18).

DOI: 10.1103/physrevlett.87.184301

[7] Gupta, A., C.H. Chew, and K.M. Lim, Effect of periodic structure on sound propagation. Fourth International Conference on Experimental Mechanics, 2010. 7522.

[8] Gupta, A., K.M. Lim, and C.H. Chew, Analysis of frequency band structure in one-dimensional sonic crystal using Webster horn equation. Applied Physics Letters, 2011. 98(20).

DOI: 10.1063/1.3592570

[9] Zhang, X., et al., Acoustic band gaps for a two-dimensional periodic array of solid cylinders in viscous liquid. Journal of Physics-Condensed Matter, 2003. 15(49): pp.8207-8212.

DOI: 10.1088/0953-8984/15/49/001

[10] .] Platts, S.B., et al., Two-dimensional phononic crystals and scattering of elastic waves by an array of voids. Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences, 2002. 458(2026): pp.2327-2347.

DOI: 10.1098/rspa.2002.0960

[11] Batra, N.K., P. Matic, and R.K. Everett, Sonic crystal composites for selective noise reduction. 2002 Ieee Ultrasonics Symposium Proceedings, Vols 1 and 2, 2002: pp.547-550.

DOI: 10.1109/ultsym.2002.1193462

[12] Romero-Garcia, V., et al. Acoustic barriers based on sonic crystals. 2008. Las Vegas, NV, United States: American Society of Mechanical Engineers, New York, NY 10016-5990, United States.

[13] Pennec, Y., et al. Phononic crystals and manipulation of sound. in Physica Status Solidi (C) Current Topics in Solid State Physics. 2009. Boston, MA.

[14] Laude, V., et al., Evanescent Bloch waves and the complex band structure of phononic crystals. Physical Review B, 2009. 80(9).

DOI: 10.1103/physrevb.80.092301

[15] Romero-Garcia, V., J.V. Sanchez-Perez, and L.M. Garcia-Raffi, Evanescent modes in sonic crystals: Complex dispersion relation and supercell approximation. Journal of Applied Physics, 2010. 108(4).

DOI: 10.1063/1.3466988

[16] Hirsekorn, M., et al. Modelling and simulation of acoustic wave propagation in locally resonant sonic materials. 2004. Granada, Spain: Elsevier.

DOI: 10.21236/ada525809