Continuation Method and Its Application in Bifurcation of aRailway Passenger Car System with Simple Rails
GAO Xue-jun1, LI Ying-hui2 , Yue Yuan2
1. College of Environment and Civil Engineering, Chengdu University of Technology, Chengdu 610059, Sichuan;2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, Sichuan
Abstract：By taking a railway passenger car system as the research object, the vehicle is simplified as a multiple rigid body system composed of one carboy, two bogie frames, four wheel sets, and primary and secondary suspensions. The rails are modeled as discrete rigid bodies with lateral stiffness and damping, and moved forward with their corresponding wheel sets. Moreover, the interaction forces between the wheels and the rails in rolling contact mainly include creep forces and the flange forces. The methods for the continuation of the stationary solutions and periodic solutions of ordinary differential equations for similar vehicle system are presented. Then the continuation method is applied to study the lateral bifurcation behavior of the railway passenger car system running on a straight track with simple rails. Meanwhile, the numerical results are compared with that of the traditional vehicle system which has the same suspension components but no rails. Research results show that the bifurcation diagram of the two models are resemble in the investigated speed range. And two Hopf bifurcation points, from which two unstable periodic solutions sub-critically bifurcated, are found in small speed range. The difference is the values of two Hopf bifurcation speeds and the critical speed of the vehicle system with simple rails are all slightly higher than the corresponding values of the traditional vehicle system with the same suspension components. However, the values of the bifurcation speed are mainly related to the lateral stiffness of rails.
高学军;李映辉;乐源. 延续算法在简单轨道客车系统分岔中的应用[J]. , 2012, 31(20): 177-182.
GAO Xue-jun;LI Ying-hui;Yue Yuan. Continuation Method and Its Application in Bifurcation of aRailway Passenger Car System with Simple Rails. , 2012, 31(20): 177-182.
2012, Vol. 31 
