折叠突变的列车脱轨理论研究与仿真

刘雨梦; 刘学文; 张文静

doi:10.13433/j.cnki.1003-8728.20220017

折叠突变的列车脱轨理论研究与仿真

doi: 10.13433/j.cnki.1003-8728.20220017

上海工程技术大学机械与汽车工程学院，上海　201620

基金项目: 国家自然科学基金项目（51675324）与上海市地方能力建设项目（19030501100）

详细信息

作者简介:
刘雨梦（1996−），硕士研究生，研究方向为列车脱轨、突变理论，15041123881@163.com

通讯作者:
刘学文，副教授，硕士生导师，liuxuewen2002@126.com

中图分类号: TG156
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- 被引次数: 0
出版历程
- 收稿日期: 2021-04-16
- 刊出日期: 2023-06-25

Theoretical Research and Simulation of Train Derailment with Folding Catastrophe Theory

School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China

摘要

摘要: 随着轨道交通的发展，列车成为出行货运的重要交通工具，所以找到有效的评价列车脱轨的方法成为研究重点。本文研究了直线道路上列车行驶过程的状态突变现象。将突变理论运用到列车脱轨研究分析中，基于初等突变理论里的折叠突变，考虑列车横向振动加速度以及重心偏转角对列车脱轨的影响，建立列车脱轨事故折叠突变模型。对直线上行驶的列车临近脱轨时受力分析，依据弹性势能不变值原理以及泰勒展开式，推导出列车脱轨事故的折叠突变势函数方程，通过分析突变模型的平衡曲线以及分叉集，给出了列车运行时脱轨的危险区。应用Simpack软件建立车辆轨道模型，施加不同类型的路面激励谱，将仿真结果与突变模型中的平衡曲线和分叉集进行分析对比，得到：当列车运行导致横向振动加速度由平衡曲线下半支跃升到上半支时，脱轨系数增大，列车脱轨风险增大。最终得到基于折叠突变理论的新的列车脱轨评价方法。
- 横向振动加速度 /
- 重心偏转角 /
- 折叠突变 /
- 势函数方程 /
- 列车脱轨
Abstract: With the development of rail transit, trains have become an important means of transport for freight transportation, so finding an effective method to evaluate train derailment has become a research focus. We study the phenomenon of sudden state changes in trains on straight roads and apply the catastrophe theory to accident analysis of train derailment. Based on the folding catastrophe in the elementary catastrophe theory, considering the influence of the train's lateral vibration acceleration and the deflection angle of the center of gravity on the train derailment, the folding catastrophe model of the train derailment accident is established. When it is approaching derailment, according to the principle of invariable value of elastic potential energy and Taylor expansion, the folding catastrophe potential function equation of the train derailment accident is deduced. By analyzing the balance curve and bifurcation set of the catastrophe model, give out of the danger zone of derailment during train operation. The Simpack software was used to establish the vehicle track model, and different types of road excitation spectra were applied. The simulation results were analyzed and compared with the balance curve and bifurcation set in the catastrophe model. It was obtained that when the train was running, the lateral vibration acceleration jumped from the lower half of the balance curve. In the upper half of the branch, the derailment coefficient increases and the risk of train derailment increases. Finally, a new train derailment evaluation method based on folding catastrophe theory is obtained.
- lateral vibration acceleration /
- center of gravity deflection angle /
- folding catastrophe /
- potential function equation /
- train derailment

HTML全文

图 1 列车脱轨时受力分析

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图 2 不同路径分析示意图

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图 3 车辆-轨道耦合模型

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图 4 美国五级轨道激励谱

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图 5 工况一

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图 6 工况二

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图 7 工况一横向振动加速度与重心偏转角关系图

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图 8 工况二重心偏转角与脱轨系数关系图

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图 9 工况一横向振动加速度与脱轨系数关系图

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表 1 C64k型敞车计算参数

参数	数值	参数名称	数值
自重/kg	22 500	空车重心高度/mm	1 400
载重/kg	61 000	重车重心高度/mm	1 800
空车车体质量/kg	14 000	轮对滚圆直径/mm	840
轮对滚圆间距/mm	1 500	曲线半径/mm	0
迎风面高度/mm	2 050	行驶速度/（km·h⁻¹）	120
风力作用点距离轨面的高度/mm	2 107	横向风力/N	1 239

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