Flexural Vibration Band Gaps in a Ternary Phononic Crystal Thin Plate

Abstract:

The band structures of flexural waves in a ternary locally resonant phononic crystal thin plate are studied using the improved plane wave expansion method. And the thin concrete plate composed of a square array of steel cylinders hemmed around by rubber is considered here. Absolute band gaps of flexural vibration with low frequency are shown. The calculation results show that the band gap width is strongly dependent on the filling fraction, the radius ratio, the mass density and the Young’s modulus contrasts between the core and the coating. So by changing these physical parameters, the required band gap could be obtained.

• Periodical: Materials Science Forum (Volumes 675-677)
• Pages: 1085-1088
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.675-677.1085
• Online since: February 2011
• Authors: Zong Jian Yao, Gui Lan Yu, Jian Bao Li
• Keywords: Flexural Vibration, Locally Resonant, Phononic Crystal, Thin Plate

References

[1] M.M. Sigalas: J. Appl. Phys. Vol. 84 (1998), p.3026.

[2] A. Khelif, A. Choujaa, S. Benchabane, B. Djafari-Rouhani, V. Laude: Appl. Phys. Lett. Vol. 84 (2004), p.4400.

DOI: 10.1063/1.1757642

[3] M.M. Sigalas, E.N. Economou: J. Appl. Phys. Vol. 75 (1994), p.2845.

[4] D.L. Yu, G. Wang, Y.Z. Liu, J.H. Wen, J. Qiu: Chinese. Phys. Vol. 15 (2006), p.266.

[5] Z.Y. Liu, X.X. Zhang, Y.W. Mao, Y.Y. Zhu, Z.Y. Yang, C.T. Chan, P. Sheng: Science Vol. 289 (2000), p.1734.

[6] M. Hirsekorn: Appl. Phys. Lett. Vol. 84 (2004), p.3364.

[7] X. Zhang, Y. Liu, F. Wu, Z. Liu: Phys. Lett. A Vol. 317 (2003), p.144.

[8] W. Xiao, G.W. Zeng, Y.S. Cheng: Appl. Acoust. Vol. 69 (2008), p.255.

[9] Y.J. Cao, Z.L. Hou, Y.Y. Liu: Phys. Lett. A Vol. 327 (2004), p.247.

[10] L.F. Li: J. Opt. Soc. Am. A Vol. 13 (1996), p.1870.

[11] Z.J. Yao, G.L. Yu, Y.S. Wang, Z.F. Shi: Int. J. Solids. Struct. Vol. 46 (2009), p.2571.

[12] G. Wang, X. Wen, J. Wen, L. Shao, Y. Liu: Phys. Rev. Lett. Vol. 93 (2004), p.154302.