弹性波在星形节点周期结构蜂窝材料中的传播特性研究  

Bandgap Properties of Periodic 4-Point Star-Shaped Honeycomb Materials With Negative Poisson's Ratios

作　　者：贠昊 邓子辰[1,2] 朱志韦[2] 

机构地区：[1]西北工业大学土木与建筑工程系,西安710072 [2]西北工业大学工程力学系,西安710072

出　　处：《应用数学和力学》2015年第8期814-820,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11172239);高校博士点基金(20126102110023);工业装备结构分析国家重点实验室(大连理工大学)开放基金(GZ0802)~~

摘　　要：星形节点周期结构蜂窝材料是具有负Poisson(泊松)比效应的一种结构性材料.采用有限元方法对其离散并结合Bloch定理来分析弹性波在其内部传播的带隙问题.结果表明:星形节点周期结构蜂窝材料存在宽大的频率禁带且禁带的位置和大小相对稳定;同时星形节点本身的旋转共振模态是材料最低阶禁带形成的主要原因.星形节点周期结构蜂窝材料的以上带隙特性使其在工程中减震降噪方面具有潜在的应用价值.The bandgap properties of the periodic 4-point star-shaped honeycomb materials with negative Poisson＇ s ratios were investigated. The in-plane wave propagation in the honey- comb material was analyzed with the finite element method and according to the Bloch theo- rem. Attention was devoted to determining the influence of the unit cell geometry on the bandgaps. The results show that the 4-point star-shaped honeycomb material has wide bandgaps with relatively stable locations and widths, and the local rotation resonance of the star cells makes the main cause for the formation of the lowest-order bandgaps of the materials. The a- bove bandgap properties of the 4-point star-shaped honeycomb material endow itself with po- tential application values in the fields of vibration attenuation and noise reduction.

关 键 词：星形节点蜂窝材料 负Poisson比效应 频率带隙 旋转共振模态 

分 类 号：O326[理学—一般力学与力学基础] O328[理学—力学]