填充率对一维二元声子晶体杆带隙的影响  

Influences of Filling Ratio on the Rod-shaped Structure of One-dimensional Two-component Phononic Crystals

作　　者：邱学云[1] 胡家光[1] 唐启祥[1] 

机构地区：[1]文山学院信息科学学院,云南文山663099

出　　处：《重庆师范大学学报（自然科学版）》2016年第2期113-117,共5页Journal of Chongqing Normal University:Natural Science

基　　金：云南省应用基础研究项目(No.2014FD055);云南省教育厅科研基金项目(No.2014Y474);文山学院科学研究基金项目(No.15WSY14)

摘　　要：对一维二元(金属-金属型、金属-非金属型、非金属-非金属型)3类声子晶体杆,选择相同的晶格常数0.06m,不同的材料和填充率对其带隙进行计算。结果显示:金属-金属型结构的禁带频率较高,带宽较窄;金属-非金属型结构的带隙频率虽高,但比金属-金属型结构的低,且禁带宽度很大,适宜应用于高频振动控制;非金属-非金属型结构的带隙频率非常低,适宜应用于低频振动控制;当只改变散射体的填充率时,对于一维二元金属-金属型声子晶体与金属-非金属型声子晶体,都会出现第1带隙带宽最大而第2带隙带宽最小的情况。总之,填充率变化对3类不同材料组合类型声子晶体的带隙调控作用明显。Based on the same lattice constant （0.06 m）, different materials and filling ratios are selected to computerize three one-di- mensional phononic crystal structures： metal-metal structure, metal-nonmetal structure, and nonmetal-nonmetal structure. The metal-metal structure has relatively higher frequency of impassable band gap, but the band is narrow; the frequency of metal-non- metal structure is lower than that of the metal-metal structure, hut the impassable band gap is rather broad, making the structure suitable for high-frequency vibration control; nonmetal-nonmetal structure presents very low frequency, applicable to low-frequency vibration control. When the filling ratio of materials is changed, the first band gap of both metal-metal structure and metal-nonmetal structure has the maximum bandwidth, while the second band gap of both structures has the minimum. Changing the filling ratio has apparent impact on the regulation of band gap of the three structures of one-dimensional phononic crystals.

关 键 词：声子晶体杆 带隙 集中质量法 填充率 

分 类 号：O321[理学—一般力学与力学基础] TH113[理学—力学]