周期蜂窝超结构的振动性能分析  

Vibration Performance Analysis of Periodic HoneycombMetamaterials

作　　者：叶玉全 李强[1] 闫庚旺 李盈利 YE Yuquan;LI Qiang;YAN Gengwang;LI Yingli(School of Mechanical Engineering,Hunan Vocational College of Polytechnic Industry,Changsha 410208,China;School of Traffic&Transportation Engineering,Central South University,Changsha 410075,China;Key Laboratory of Traffic Safety on Track,State Ministry of Education,Central South University,Changsha 410075,China)

机构地区：[1]湖南工业职业技术学院机械工程学院,长沙410208 [2]中南大学交通运输工程学院,长沙410075 [3]中南大学轨道交通安全教育部重点实验室,长沙410075

出　　处：《噪声与振动控制》2023年第5期45-51,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(12172383)。

摘　　要：为探究周期蜂窝超结构在动力学减振控制方面的应用潜力,采用数值仿真分析方法,通过能带结构、模态振型、物理特性及有限阵列结构传输特性对周期蜂窝超结构的带隙特性及其形成机理开展深入分析。研究结果表明:在450Hz以内,由硅橡胶组成的二维周期蜂窝超结构(晶格常数α为9.8mm)的能带结构中存在两条完全带隙,并且多条方向带隙(Γ-X)对于拓宽减振频率范围具有重要意义;具有附加连接的二维周期蜂窝结构具有更为显著的带隙特性,而且连接处使用刚性材料更有助于增强弹性波在结构中的衰减性能;无限周期结构的带隙频段和有限阵列结构的振动衰减频段具有较好的吻合性。该项工作可为结构减振设计提供新思路、新方法。To explore the application potential of periodic honeycomb metamaterial in dynamic vibration reduction control,the numerical simulation method is used to analyze the band gap characteristics and formation mechanism of this metamaterial.The band structure,modal shapes,physical properties,and transmission characteristics of this metamaterial and its finite array structures are analyzed.The results show that:there are two complete band gaps in the energy band structure of two-dimensional periodic honeycomb metamaterial composed of silicone rubber(lattice constantαis 9.8 mm)within 450 Hz.In addition,multiple directional band gaps(Γ-X)are of great significance for broadening the frequency range of vibration reduction;the two-dimensional periodic honeycomb metamaterial with additional connections has more significant band gap characteristics,and the use of rigid materials at the joints is more helpful to enhance the attenuation performance of elastic waves in the structure;the frequency ranges of band gaps for the infinite structure are in good agreement with the attenuation ranges of the finite structure.The results provide new ideas and new methods for structural damping design.

关 键 词：振动与波 周期蜂窝超结构 带隙特性 能带结构 模态振型 振动传输特性 

分 类 号：TB535.1[理学—物理]