一维三元非金属声子晶体低频禁带特性研究  

Characteristics of the Low Frequency Impassable Band Gap of Non-metal and One-dimensional Phononic Crystals with Three Components

作　　者：邱学云[1] 唐启祥[1] 胡家光[1] 

机构地区：[1]文山学院信息科学学院,云南文山663099

出　　处：《文山学院学报》2015年第3期70-73,共4页Journal of Wenshan University

基　　金：云南省应用基础研究计划项目"基于结构变换的声子晶体禁带结构研究"(2014FD055);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);文山学院科研基金项目"一维嵌套式变组元声子晶体带隙特性及应用研究"(15WSY14)

摘　　要：文章采用集中质量法对一维三元（塑料/丁腈橡胶/coca31-20-50）层状声子晶体的带隙进行计算，发现其具有低频禁带特性。研究表明：当晶格常数取0.06 m时，该声子晶体的第1禁带频率范围为98.9538～251.8178 Hz，第2禁带频率范围为289.9309～503.2473 Hz，两个禁带的起止频率大部分处在人耳能感知的低频范围20～500 Hz中；当同时增大密度和弹性模量都较大的塑料、丁腈橡胶的组份比，减小密度和弹性模量都较小的coca31-20-50的组份比时，禁带频率向高频率区移动，禁带宽度增大；另外，改变结构的晶格常数也可以获得不同的禁带频率。The lumped mass method is employed to computerize the band gap of one-dimensional layered phononic crystals composed of plastic, NBR and coca31-20-50, which ifnds that the band gap is impassable at a certain low frequency zone. When the lattice constant is 0.06m, the ifrst band gap is inaccessible between 98.9538 and 251.8178 Hz, and the forbidden zone for the second band gap is 289.9309-503.2473 Hz, most of which are within the low frequency zone （20-500 Hz） that human ears can sense. When the component ratio of plastics and NBR with relatively higher density and elastic modulus is increased, and the ratio of coca31-20-50 with lower density and elastic modulus is decreased, the impassable band gap moves toward high frequency zone, broadening the impassable zone. In addition, differed frequency of forbidden band gap can be achieved by changing the lattice constant of the structure.

关 键 词：一维声子晶体 非金属材料 能带结构 低频禁带 集中质量法 

分 类 号：O734[理学—晶体学]