文献类型：期刊文献

中文题名：附着式局域共振声子晶体薄板的带隙解析解

英文题名：Analytical solution of band gap in an attached locally resonant phononic crystal thin plate

作者：杨文[1];陈凯伦[1];郭旭[1];陈泽宇[1];刘长利[1]

机构：[1]华东理工大学机械与动力工程学院,上海200237

年份：2022

卷号：41

期号：8

起止页码：238

中文期刊名：振动与冲击

外文期刊名：Journal of Vibration and Shock

收录：CSTPCD;;EI(收录号：20221912097394);Scopus;北大核心:【北大核心2020】；CSCD:【CSCD2021_2022】；

基金：国家自然科学基金(52075176)。

语种：中文

中文关键词：声子晶体(PC)薄板;局域共振;带隙解析解

外文关键词：phononic crystal(PC)thin plate;locally resonant;band gap analytical solution

摘要：声子晶体(phononic crystal,PC)作为一种具有超材料特性的复合减振材料,其带隙范围的计算一直是研究的重点,目前主要的计算方法都是数值方法,得到的带隙范围依赖于系统参数的选取,而带隙的设计只能采取参数试凑或优化的方法。针对以上问题,根据局域共振型声子晶体(locally resonance phononic crystal,LRPC)薄板的动力学方程,得到系统振动位移的解析解。在此基础上,得到了阻抗表达式,并根据阻抗的概念阐述了带隙的形成机理,讨论了系统阻尼对带隙的影响,得到了无阻尼条件下带隙的解析解,所得结果与有限元及平面波展开法的计算结果一致。利用带隙解析解,可以非常方便地设计局域共振声子晶体薄板的带隙,为声子晶体的研究和应用提供了全新的方法。
Phononic crystal(PC)is a kind of composite vibration-reduction material with metamaterial characteristics,and its band gap calculation has always been a hot research topic.At present,the main calculation methods are numerical methods.The band gap range depends on system parameters selection.Band gap design can only adopt parameter trial and error or optimization methods.To solve the problems,the analytical solution of system vibration displacement was obtained according to the dynamic equation of a locally resonance phononic crystal(LRPC)thin plate.On this basis,according to impedance concept,band gap formation mechanism was explained,system damping influence on the band gap was discussed,and band gap analytical solution under undamped conditions was obtained,which are consistent with finite element method and the plane wave expansion method.Using this band gap analytical solution,band gap of LRPC thin plates can be conveniently designed,which provides a new method for phononic crystal research and application.