基于能量法的橡胶浮置板轨道结构弹性波分析  

Analysis of Elastic Waves in Rubber Floating Plate Track Structures Based on the Energy Method

作　　者：孙彰 洪显 张洪 Sun Zhang;Hong Xian;Zhang Hong(Shenzhen Railway Investment and Construction Group Company Limited,Shenzhen 518006,China;School of Transportation Engineering,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]深圳铁路投资建设集团有限公司,广东深圳518006 [2]华东交通大学交通运输工程学院,江西南昌330013

出　　处：《华东交通大学学报》2023年第6期103-109,共7页Journal of East China Jiaotong University

基　　金：国家自然科学基金(52308451)。

摘　　要：针对城市轨道交通日益严重的环境振动问题,以橡胶浮置板这一城市轨道交通中常用隔振措施为研究对象,从弹性波的角度研究并提升其低频调控的性能。采用平面波级数模拟钢轨的周期性边界条件,用能量法计算了满铺式、条铺式和点铺式橡胶浮置板轨道结构的能量泛函,扫描波数变分得到橡胶浮置板的带隙特性,采用有限元法验证了提出方法的准确性。结果表明:满铺式第一阶带隙截止频率最大;条铺式与点铺式具有更低的截止频率和更宽的通带带宽,且第一阶带隙截止频率随着橡胶垫刚度的增大而提高;浮置板动力吸振器对弹性波的精准调控,为橡胶浮置板轨道低频振动控制的应用提供新的思路和方法。In view of the increasingly serious environmental vibration problem of urban rail transit,this paper takes the rubber floating slab,a commonly used vibration isolation measure in urban rail transit,as the research object,and studies and improves its low-frequency control performance from the perspective of elastic waves.The periodic boundary conditions of the rails are modelled using plane wave series,and the energy generalisation of full-paved,strip-paved,and point-paved rubber floating plate track structures is calculated using the energy method,the band gap characteristics of the rubber floating plate are finally obtained by scanning the wave number variations.The periodic boundary conditions and positive symmetrical boundary form constraint matrices,and the linear expression method is adopted to process the boundary conditions to obtain the unknown coefficients that can be varied.By scanning the variation,the bandgap characteristics of the rubber floating slab are obtained.The accuracy of the proposed method is verified using the finite element method.The results show that the cut-off frequency of the first order band gap of the full-paved type is the largest,and the strip-paved type and the dot-paved type have lower cut-off frequency and wider passband bandwidth.The cut-off frequency of the first order band gap increases with the increase of the stiffness of the rubber pad.The dynamic vibration absorber for floating slab accurately controls the elastic wave,providing new ideas and methods for the application of low-frequency vibration control of rubber floating slab tracks.

关 键 词：橡胶浮置板轨道结构 周期结构 带隙特性 弹性波 振动控制 

分 类 号：U239.5[交通运输工程—道路与铁道工程]