摘要The propagation characteristics of flexural waves in two-dimensional thin-plate phononic crystals (PCs) are analysed with the plane wave expansion (PWE) method to yield phase constant surfaces, which predict high directivity of flexural wave propagation for certain frequencies outside the band gap. The prediction is validated through the computation of the harmonic responses of a finite structure with 9×9 unit cells. The results indicate that directional propagation of flexural waves is an inherent characteristic of two-dimensional thin-plate PCs while specific effects of the directional propagation in a finite structure vary with the positions of excitations.
Abstract:The propagation characteristics of flexural waves in two-dimensional thin-plate phononic crystals (PCs) are analysed with the plane wave expansion (PWE) method to yield phase constant surfaces, which predict high directivity of flexural wave propagation for certain frequencies outside the band gap. The prediction is validated through the computation of the harmonic responses of a finite structure with 9×9 unit cells. The results indicate that directional propagation of flexural waves is an inherent characteristic of two-dimensional thin-plate PCs while specific effects of the directional propagation in a finite structure vary with the positions of excitations.
[1] Sigalas M M et al 1993 Solid. State. Commun. 86 141 [2] Kushwaha M S et al 1993 Phys. Rev. Lett. 71 2022 [3] Vasseur J O et al 2001 Phys. Rev. Lett. 86 3012 [4] Liu Z Y et al 2000 Phys. Rev. B 62 2446 [5] Wang G et al 2003 Acta Phys. Sin. 52 1943(in Chines) [6] Wen J H et al 2004 Acta Phys. Sin. 533384 (in Chines) [7] Sigalas M M et al 1994 J. Appl. Phys. 75 2845 [8] Tanaka Y et al 2000 Phys. Rev. B 62 7387 [9] Goffaux C et al 2003 Phys. Rev. B 67 144301 [10] Wang G et al 2004 Phys. Rev. B 69 184302 [11] Liu Z Y et al 2000 Science 289 1734 [12] Yu D L et al 2005 Chin. Phys. Lett. 22 1958 [13] Enoch S et al 2002 Appl. Phys. Lett. 81 1588 [14] Bulu I et al 2003 Appl. Phys. Lett. 83 3263 [15] Qiu C Y et al 2006 Appl. Phys. Lett. 89 063106 [16] Sigalas M M et al 1994 J. Appl. Phys. 75 2845 [17] Langley R S 1996 J. Sound Vib. 197 447 [18] Langley R S 1997 J. Sound Vib. 201 235 [19] Langley R S et al 1997 J. Sound Vib. 207 521 [20] Ruzzene M et al 2003 Smart Mater. Struct. 12 363 [21] Jeong S M 2004 PhD Thesis (University of Michigan)