Propagation of elastic wave in symmetrical quasi-periodic phononic crystal composed of solid/liquid
Xiao Xuyang1,Chen Runping1,Xia Jihong1,Xi Feng2
1 Chongqing University of Arts and Sciences, Yongchuan Chongqing 402160, China2 School of computer science and information engineering, Chongqing Technology and Business University, Chongqing, 400067 China
Abstract:On basis of quasi-periodic Fibonacci sequence, the symmetrical quasi-periodic phononic crystal, composed of solid and liquid medium, is proposed. The propagation of elastic wave and the located resonant modes are investigated numerically with transfer matrix method. At the center of phononic band gap, a located resonant mode exists. Then two located resonant modes is exist and they are centered exactly on center resonant mode. But for symmetrical quasi-periodic phononic crystal with high order, there only is one resonant mode in band gap. Moreover, for elastic wave oblique incident, the band gap and resonant modes slowly shift to high frequency region. The resonant modes in band gap can be acted as super narrow bandwidth filter with multiple channels. For elastic wave with large incident angle, the low frequency elastic wave can only propagate through the high order quasi-periodic structure.