高速客车横向稳定性及分岔研究  被引量:1

Study on Lateral Stability and Bifurcation Behavior of High-speed Railway Passenger Car

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作  者:高学军[1,2] 李映辉[1] 高庆[1] 

机构地区:[1]西南交通大学力学与工程学院,成都610031 [2]安徽建筑工业学院土木工程学院,合肥230022

出  处:《力学季刊》2009年第4期632-637,共6页Chinese Quarterly of Mechanics

基  金:教育部"长江学者和创新团队发展计划"(IRT0452)

摘  要:以一类比较典型的具有17个自由度的四轴铁道客车系统为研究对象,利用Vermeulen-Johnson蠕滑理论和一分段线性函数来分别计算轮轨滚动接触蠕滑力和轮缘力。应用数值方法并结合稳定性与分岔理论对该车辆系统运行于理想平直轨道上的横向稳定性与分岔问题进行研究,得到车辆系统的Hopf分岔点、鞍结分岔点及其稳定性转变过程,据此确定车辆系统的线性临界速度和非线性临界速度。同时也对该车辆系统在超高速情况下的摆振方式进行分析,结果表明系统首先经简单的单频率周期运动,逐渐演变成两个甚至多个频率互相耦合的拟周期运动,随着新的耦合频率不断出现,系统最终进入混沌运动状态。By taking a more representative high speed four axle railway passenger car system which has seventeen degrees of freedom as the research object, the creep forces and flange forces between wheels and rails in rolling contact were decided by Vermeulen-Johnson creep force law and a piecewise linear function respectively. The lateral stability and bifurcation behavior of the vehicle system running on an i- deal straight and perfect track were studied by a combination of numerical methods and stability and bifurcation theory. The Hopf and saddle-node bifurcation point of the vehicle system and their transition process were obtained expediently in the results, in which the linear critical speed and nonlinear critical speed were determined. Meanwhile, the mode of oscillations of the vehicle at super-high speed has been analyzed as well. Research results show that the system turns from the simple periodic motion with single frequency into quasi-periodic motion with coupled two or even more frequencies. With the appearance of the new coupled frequencies, the vehicle system comes into chaotic motion in the end.

关 键 词:高速客车 稳定性 分岔 临界速度 混沌 

分 类 号:O322[理学—一般力学与力学基础]

 

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