铁路脱轨预警的尖点突变理论  

Cusp Catastrophe Theory of Train Derailment Early Warning

作　　者：张文静 张卜 许莎 刘学文 ZHANG Wenjing;ZHANG Bu;XU Sha;LIU Xuewen(School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学机械与汽车工程学院,上海201620

出　　处：《机械科学与技术》2022年第10期1490-1495,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51675324);上海市地方能力建设项目(19030501100);新能源汽车振动噪声测试与控制专业技术服务平台资助项目(18DZ2295900)。

摘　　要：为了能更好的预测车辆的运行安全性,现基于突变理论讨论了列车在曲线处由稳定运行到完全脱轨的状态突变过程。考虑车轮抬升量和轮轨横向力对列车运行状态的影响,建立了尖点突变模型,通过分叉集给出了列车在曲线处发生脱轨的危险区域。应用SIMPACK软件建立车辆系统仿真模型,通过改变曲线半径的大小,分析车轮抬升量和轮轨横向力随时间的变化情况。将不同工况下获得的控制变量的值与尖点突变理论的分叉集进行对比分析,结果表明:曲线半径过小时,车轮抬升量和轮轨横向力均会超出极限值,此时,列车就会脱离轨道。由此验证了突变理论模型在列车脱轨预警上应用的有效性。In order to better predict the train operation safety, the sudden transition process of the train from stable operation to complete derailment at the curve is discussed based on the catastrophe theory. Considering the influence of wheel raise and wheel-rail lateral force on the train operation, a cusp catastrophe model is established, and the dangerous area of train derailment at the curve are given by the bifurcation set of the cusp catastrophe theory. By applying the SIMPACK software to establish a train system simulation model and by transforming the radius of the curve, the changes of wheel raise and wheel-rail lateral force with time are analyzed. The values of control variables obtained under different working conditions are compared with the bifurcation set. The results show that when the curve radius is too small, the wheel raise and wheel-rail lateral force may exceed the limit value, and then the train will be off track, thus verifying that the catastrophe theory is effective for train derailment early warning.

关 键 词：尖点突变理论 列车脱轨 车轮抬升量 轮轨横向力 分叉集 

分 类 号：U272.2[机械工程—车辆工程] O1-0[交通运输工程—载运工具运用工程] O29[交通运输工程—道路与铁道工程]