考虑橡胶质量的两级局域共振子梁的振动研究  

Research on the Vibration of a Beam with Two-Stage Local Resonators Considering Rubber Mass

作　　者：同志学[1] 齐小军 李丽霞[1] TONG Zhi-xue;QI Xiao-jun;LI Li-xia(School of Mechanical and Electrical Engineering,Xi’an University of Architecture and Technology,Shanxi Xi’an 710055,China)

机构地区：[1]西安建筑科技大学机电工程学院,陕西西安710055

出　　处：《机械设计与制造》2020年第10期71-75,共5页Machinery Design & Manufacture

基　　金：国家自然科学基金:资助项目(51405368);陕西省自然科学基金:(2017JM5024)。

摘　　要：将局域共振型声子晶体的低频减振机理引入欧拉梁结构中,给出一种附加两级局域共振子结构的欧拉梁。考虑局域共振子中橡胶质量,采用传递矩阵法研究该结构的振动带隙特性。分析考虑橡胶质量后算法的收敛性。通过有限元仿真验证计算结果。分析材料密度对振动带隙特性的影响。结果表明,该算法具有收敛性好的优点,且比传统传递矩阵法更好地吻合有限元法的计算结果;在附加相同质量时,两级结构比单级结构具有更低的带隙起始频率和覆盖更高频率范围的第二带隙;随着第一级散射体密度的降低,第一带隙的起始频率基本不变,着重于低频第一带隙减振时可以通过选择密度较小的材料减小附加质量。An Euler beam with two-stage local resonators structure was proposed by introducing mechanism of low-frequency vibration reduction of locally resonant phononic crystal.Considering the rubber mass in the local resonators,the vibration band gap characteristics of the structure were studied by transfer matrix method.The convergence of the method considering the rubber mass was analyzed.The calculations were verified by finite element method.The effect of material density on the vibration band gap characteristics was analyzed.The results show that the proposed method has the advantages of good convergence and better agreement with the results of the finite element method than the traditional transfer matrix method.With the addition of the same mass,the two-stage structure has a lower beginning frequency and a second gap covering the higher frequency range than the one-stage structure.With the decrease of the density of the first stage scattering,the beginning frequency of the first band gap is basically unchanged,and the additional mass can be reduced by selecting a material with a lower density when focusing on the vibration in low-frequency first band gap.

关 键 词：欧拉梁 声子晶体 两级局域共振子 橡胶质量 

分 类 号：TH16[机械工程—机械制造及自动化] TH11