高学军，李映辉, 关庆华

(1. 成都理工大学地质灾害防治与地质环境保护国家重点实验室, 成都　610059;2.西南交通大学力学与工程学院, 成都　610031; 3. 西南交通大学牵引动力国家重点实验室, 成都　610031)

第一作者高学军男，博士, 副教授，1979年生

车辆系统的多个蛇行运动

高学军1，李映辉2, 关庆华3

(1. 成都理工大学地质灾害防治与地质环境保护国家重点实验室, 成都610059;2.西南交通大学力学与工程学院, 成都610031; 3. 西南交通大学牵引动力国家重点实验室, 成都610031)

摘要：采用升速法和降速法对复杂非线性轮轨接触关系下车辆系统的分岔行为进行研究，发现系统存在运动幅值相差不大的两个蛇行运动解并存的现象，这种多个蛇行运动解并存的特性与一般的由单个亚临界Hopf分岔所引起的稳定定常运动与稳定蛇行运动并存的特性有所不同，很容易使车辆在相应速度附近运行时由于扰动的不同而使摆振幅值往复变化，影响车辆的正常安全运行，因此临界速度测定时需要在多种可能的激励条件下多次测试综合分析。

关键词：轮轨接触关系; 车辆系统; 分岔; 并存; 临界速度

基金项目：国家自然科学基金项目(11102030, 11372257, 51305360,11472064)

收稿日期：2014-01-02修改稿收到日期：2014-05-08

中图分类号:O322;U260.11

文献标志码：A

DOI:10.13465/j.cnki.jvs.2015.11.035

Abstract:The bifurcation behaviors of a railway vehicle system with a complex nonlinear wheel-rail contact relation were investigated using the methods of increasing speed and decreasing speed. It was shown that two hunting motions with similar amplitudes coexist in the system; there are some differences between the coexistence of multiple hunting motions and the coexistence of the stable steady motions and the stable hunting motions caused by a single sub-critical Hopf bifurcation in the railway vehicle system; the coexistence of multiple hunting motions may easily cause the reciprocating change of the vehicle’s shimmy amplitude due to different disturbances to affect the normal and safe operation of the vehicle; therefore, the critical speed should be determined through comprehensive analysis under various kinds of possible excitations and multiple tests.

Multiple hunting motions of a railway vehicle system

GAOXue-jun1,LIYing-hui2,GUANQing-hua3(1. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China;2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China;3. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China)

Key words:wheel-rail contact relation; railway vehicle system; bifurcation; coexistence; critical speed

车辆系统横向运动稳定性研究[1-2]一直是铁路工程师和科研工作者非常关心的问题，因为它不但涉及到车辆临界速度[3-4]的确定，直接影响列车允许的最高运行速度，而且还涉及到车辆运行过程中各种可能的运动状态及其对其它性能指标的影响。……