连续运行车辆-轨道垂向耦合动力学的时变分析法  

THE TIME-VARYING ANALYSIS METHOD FOR TRAIN-TRACK VERTICAL DYNAMICS IN CONTINUOUS TRAVEL

作　　者：杨蔡进 Yang Caijin(State Key Laboratory of Rail Transit Vehicle System,Southwest Jiaotong University,Chengdu 611031,China)

机构地区：[1]西南交通大学轨道交通运载系统全国重点实验室,成都611031

出　　处：《力学学报》2025年第3期740-754,共15页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(12072293);四川省科技计划(2024NSFSC0439)资助项目.

摘　　要：随着运行速度的提升,高速列车与服役结构及环境的耦合作用显著加剧,并且上述耦合作用表现在车辆运动的全过程.考虑实际的运行环境,建立精细的车辆-轨道耦合动力学模型,开展更为精确的服役模拟是当前研究热点,但面临许多挑战,例如车辆与长大轨道结构耦合动力学建模难题.现代高速列车短时间内就能在轨运行至数百公里的距离,经典的理论方法采用了拉格朗日方式描述系统的运动和变形,限定系统的力学研究对象固定不变,往往需要针对全部长度的轨道结构进行建模,计算分析效率亟需提高.围绕高速轨道交通领域内关键基础力学模型问题,基于模型截断的策略,从时变系统动力学角度,构建长距离连续运行车辆-轨道耦合动力学高效建模与分析方法.引入移动控制体描述长大轨道结构在有效振动区域内动力学行为,利用任意拉格朗日-欧拉原理建立移动控制体内截断轨道梁的连续时变动力学模型,基于自适应步长Runge-Kutta-Fehlberg积分策略,通过预处理当前时间步的积分信息,确定预测下一时间步系统响应所需的迭代条件,从而表征控制体内轨道梁下轨枕和道床质量系统的离散时变动力学问题.最后,通过数值算例仿真,分析了车辆-轨道耦合系统的动力学响应,并将计算结果与传统模态叠加法获得结果进行比较,验证了方法的有效性.The interactions between the high-speed train and the service structure/environment obviously strengthen with increase of the vehicle speed,which exhibit in the whole motion of the train.It is currently a research hotspot to establish a refined train-track dynamic model with considering real service environment and perform a more accurate simulation,but may encounter many challenges,e.g.,the difficulty in modeling coupled dynamics of the train and long track structure.Modern trains can run the distance of several hundred kilometers across the track in a short time.The classical methods often deal with the motion and deformation of the coupled system in Lagrangian description,and impose an intrinsic requirement of an invariable mechanical research object of the system.Hence,they must model an entire track structure and the computation efficiency needs to be improved.Aiming at the key mechanical model in the field of high-speed rail transit,based on the model reduction and the theory of time-varying system dynamics,an efficient method is proposed to model and analyze the train-track dynamics in long distance continuous travel.For its purpose,the moving control volume is introduced here to describe dynamic of the long track in an effective region,which forms a truncated system for the analysis.The arbitrary Lagrangian-Eulerian formulation is used to establish the time-varying dynamic model of the truncated rail beam in the moving control volume.The adaptive Runge-Kutta-Fehlberg method is used to numerically solve the motion equations of the coupled system.At each time step,the integral information at current step should be preconditioned to obtain right initial value conditions for predict dynamic response of the system at next step.By this way,the discrete time-varying dynamics of the lump mass system in the moving control volume is included,representing the sleeper and ballast system.Dynamic analysis is carried out with the numerical example and obtained results are compared with those from the traditional modal s

关 键 词：高速列车 长大轨道结构 离散/连续时变系统动力学 移动控制体 任意拉格朗日-欧拉原理 

分 类 号：O327[理学—一般力学与力学基础]