弹性支承块式轨道在高速列车作用下的动力响应分析  

Dynamic response analysis of low vibration track subjected to high-speed train

作　　者：赫丹[1,2] 向俊[1] 曾庆元[1] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075 [2]中国中铁二院工程集团有限责任公司重庆设计研究院,重庆410015

出　　处：《中南大学学报（自然科学版）》2010年第2期770-774,共5页Journal of Central South University:Science and Technology

基　　金：国家重点基础研究发展规划("973"计划)项目(2007CB714706);国家自然科学基金资助项目(50678176;50908232);教育部新世纪优秀人才支持计划项目(NCET-07-0866)

摘　　要：为研究高速列车-弹性支承块式无碴轨道系统的动力学性能，提出一种竖向振动分析方法。其原理是：将高速列车的动车和拖车模拟为具有二系悬挂的多刚体系统；将弹性支承块式无碴轨道模拟为具有24个自由度的轨段单元的集合；基于弹性系统动力学总势能不变值原理及形成系统矩阵的“对号入座”法则，建立此系统竖向振动矩阵方程，并采用Wilson-θ数值积分法求解，计算速度为200km／h时此系统竖向动力响应，研究轨道刚度对此系统竖向振动响应的影响规律。研究结果表明：钢轨竖向位移最大为1．125rnnl，支承块竖向位移最大值为0．522mm，并且计算波形图可以反映列车编组；钢轨扣件竖向刚度的合理取值范围为60～80kN／mm，块下垫层的竖向刚度宜大于80kN／mm。An analysis method for vertical vibration of high-speed train （HST） and low vibration track （LVT） system was proposed to study the dynamic performance of the system. Both motor car and each trailer of HST were modeled as a multi-rigid-body system with two suspensions, and LVT was modeled as an assembly of track segment elements with 24 degrees of freedom. The vertical vibration matrix equation of the system was established on the basis of the principle of the total potential energy with stationary value in elastic system dynamics and the rule of ＂set-in-right-position＂ for formulating system matrixes, and then Wilson-θ numerical integration method was used to solve the problem. The dynamic responses of the system were calculated when the train runs at the speed of 200 km/h. And the effects of vertical stiffness of rail fastener and block pad on vertical vibration responses of the system were investigated. The results show that the maximum vertical displacements of rail and block are 1.125 mm and 0.522 mm, respectively, and the calculated waveforms can reflect train formation. The reasonable range of vertical stiffness of rail fastener is 60-80 kN/mm, and that of block pad should be bigger than 80 kN/mm.

关 键 词：无碴轨道 轨段单元 竖向振动 轨道刚度 

分 类 号：U213.2[交通运输工程—道路与铁道工程]