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铁路脱轨预警的尖点突变理论

张文静 张卜 许莎 刘学文

张文静, 张卜, 许莎, 刘学文. 铁路脱轨预警的尖点突变理论[J]. 机械科学与技术, 2022, 41(10): 1490-1495. doi: 10.13433/j.cnki.1003-8728.20200480
引用本文: 张文静, 张卜, 许莎, 刘学文. 铁路脱轨预警的尖点突变理论[J]. 机械科学与技术, 2022, 41(10): 1490-1495. doi: 10.13433/j.cnki.1003-8728.20200480
ZHANG Wenjing, ZHANG Bu, XU Sha, LIU Xuewen. Cusp Catastrophe Theory of Train Derailment Early Warning[J]. Mechanical Science and Technology for Aerospace Engineering, 2022, 41(10): 1490-1495. doi: 10.13433/j.cnki.1003-8728.20200480
Citation: ZHANG Wenjing, ZHANG Bu, XU Sha, LIU Xuewen. Cusp Catastrophe Theory of Train Derailment Early Warning[J]. Mechanical Science and Technology for Aerospace Engineering, 2022, 41(10): 1490-1495. doi: 10.13433/j.cnki.1003-8728.20200480

铁路脱轨预警的尖点突变理论

doi: 10.13433/j.cnki.1003-8728.20200480
基金项目: 

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

详细信息
    作者简介:

    张文静(1994-), 硕士研究生, 研究方向为轨道车辆运行安全, wenjingz9@163.com

    通讯作者:

    刘学文, 高级工程师, 研究生导师, xuewen2018@126.com

  • 中图分类号: U272.2;O1-0;O29

Cusp Catastrophe Theory of Train Derailment Early Warning

  • 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。
  • 图  1  车轮抬升量

    图  2  列车在曲线处脱轨的尖点突变模型图

    图  3  列车在曲线处脱轨的尖点突变分叉集

    图  4  车辆系统动力学模型

    图  5  不同曲线半径工况下, 车轮抬升量和轮轨横向力随时间变化的情况

    表  1  C64k型敞车的技术

    参数名称 数值 参数名称 数值
    自重 22.5 t 商业运行速度 120 km/h
    载重 61 t 通过最小曲线半径 145 m
    轴重 21 t 车辆定距 8 700 mm
    轨距 1 435 mm 车轮踏面 磨耗型车轮踏面
    下载: 导出CSV

    表  2  线路条件的设置

    工况种类 曲线半径/m 直线 缓和曲线 圆曲线 外轨超高/m
    工况1 165 100 200 300 0.09
    工况2 166 100 200 300 0.09
    工况3 500 100 200 300 0.09
    工况4 600 100 200 300 0.09
    工况5 1200 100 200 300 0.09
    下载: 导出CSV
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  • 收稿日期:  2020-11-02
  • 刊出日期:  2022-10-25

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