层状声子晶体横波带隙结构研究  

Study on Shear Band Gap Structure of Layered Phononic Crystal

作　　者：唐启祥[1] 邱学云[1] 胡家光[1] TANG Qixiang QIU Xueyun HU Jiaguang(School of Information Science, Wenshan University, Wenshan Yunnan 663099, Chin)

机构地区：[1]文山学院信息科学学院,文山云南663099

出　　处：《文山学院学报》2016年第6期59-62,共4页Journal of Wenshan University

基　　金：云南省教育厅科研基金项目"一维周期性弹性材料结构传输特性的研究"(2014Y474)

摘　　要：对弹性波通过钢、环氧树脂和铝三组元构成的一维层状声子晶体的透射率进行了理论推导;以横波的透射率分布图表征声子晶体的带隙结构;以一定的中心频率换算出来的每个组元的中心波长为相应组元的厚度单位,乘以相同的系数作为实际厚度。分别研究了厚度系数和原胞数对声子晶体带隙结构的影响。结果显示,导带和禁带均匀分布,但宽度一般不等;导带、禁带的中心均随厚度系数增大而向低频段移动,同时,导带和禁带宽度也随之减小;随着原胞数的增加,导带中心、禁带中心及导带宽度及禁带宽度没有发生变化。The transmissivity of the elastic wave in one dimensional layered photonic crystal formed by three elements of steel, epoxy resin and aluminum is theoretically deduced; the band gap structure of the phononic crystal is characterized by the distribution of the shear wave transmissivity; the center wavelength of each component is defined as the unit of thickness of the corresponding component, and multiplied by the same coefficient as the actual thickness. The effects of thickness coefficient and the number of cells on the band gap structure of the photonic crystal are studied respectively. With the increasing of the thickness coefficient, the conduction bands and band gaps are evenly distributed, but they are generally unequal in width; Their center positions move to the low frequency band; meanwhile, their widths decrease together. With the increasing of the number of cells, their centers and widths don＇t change.

关 键 词：声子晶体 横波 带隙结构 

分 类 号：O735[理学—晶体学]