施昌龄,李九超,侯权河
SHI Changling,LI Jiuchao,HOU Quanhe

• 1:中交第三公路工程局有限公司第四工程分公司

摘要(Abstract)：

由于道砟颗粒在列车高速运行下会发生剧烈振动以至于产生颗粒破碎甚至飞溅现象,对有砟轨道系统的动力学研究显得十分迫切。为探究在列车行驶过程中车体、轨道、路基在竖直方向上的动力响应,结合刚体假设、有限单元法、离散单元法建立列车-有砟轨道-路基竖向耦合系统,通过简化轮轨相互作用关系,建立列车-轨道系统竖向耦合振动方程,轨道及其下部结构在受力分析后通过矩阵的"对号入座"法则建立有砟轨道-路基的振动方程,最后得到列车-有砟轨道-路基竖向耦合系统的振动方程。基于MATLAB编程软件,采用Newmark-β逐步积分法求解振动方程。最后得到在列车荷载作用下,列车本身、钢轨、轨枕、道床层、路基层的动力响应以及轮轨力,分析计算得到的结果与相应的限定值进行比较,验证了所建立模型的正确性。
Because ballast particles will vibrate violently when the speed of train is high,resulting in particle breakage or even spatter,it is very urgent to study the dynamics of ballasted track system. In order to investigate the dynamic response of vehicle,track and subgrade in vertical direction during train running,a vertical coupled system of train-ballasted track-subgrade is established by combining rigid body assumption,finite element method and discrete element method. The vibration equation of the vertical coupled train-ballasted track system is established after simplifying the interaction between the wheel sets and track. The vibration equation of ballasted track-subgrade system is established by matrix"check-in"rule after force analysis. Finally,the vibration equation of the vertical coupled train-ballasted track-subgrade system is obtained. Based on Newmark-β step-by-step integration method,by using MATLAB software to compile the program,the dynamic response of train itself,rail,sleeper,ballast,subgrade and wheel-rail force under the action of train load are finally obtained. The results of analysis and calculation are compared with the corresponding limited values,which verifies the correctness of the established model.

关键词(KeyWords)： 高速铁路;动力响应;Newmark-β积分;有砟轨道;路基;竖向耦合系统
high speed railway;dynamic response;newmark-β stepwise integral method;ballasted track;subgrade;vertical coupled system

Abstract:

Keywords:

基金项目(Foundation): 国家重点研发计划(2017YFB1201204);; 国家自然科学基金(51878673; U1734208; U1934209; 51808577)

作者(Author): 施昌龄,李九超,侯权河
SHI Changling,LI Jiuchao,HOU Quanhe

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