Bifurcation\instability forms of high speed railway vehicles  

作　　者：DONG Hao ZENG Jing XIE JianHua JIA Lu 

机构地区：[1]State Key Laboratory of Traction Power, Southwest Jiaotong University [2]Department of Mechanical Engineering, Southwest Jiaotong University [3]Emei Campus of Southwest Jiaotong University

出　　处：《Science China(Technological Sciences)》2013年第7期1685-1696,共12页中国科学（技术科学英文版）

基　　金：supported by the National Basic Research Program of China ("973" Program) (Grant No. 2011CB711106);the National Key Technology R&D Program of China (Grant No. 2009BAG12A01);Southwest Jiaotong University 1st Outstanding Innovative Talents Fund and the Doctoral Student Innovation Fund of Southwest Jiaotong University

摘　　要：The China high speed railway vehicles of type CRH2 and type CRH3, modeled on Japanese high speed Electric Multiple Units (EMU) E2 series and Euro high speed EMU ICE3 series possess different stability behaviors due to the different matching re-lations between bogie parameters and wheel profiles. It is known from the field tests and roller rig tests that, the former has a higher critical speed while large limit cycle oscillation appears if instability occurs, and the latter has lower critical speed while small limit cycle appears if instability occurs. The dynamic model of the vehicle system including a semi-carbody and a bogie is established in this paper. The bifurcation diagrams of the two types of high speed vehicles are extensively studied. By using the method of normal form of Hopf bifurcation, it is found that the subcritical and supercritical bifurcations exist in the two types of vehicle systems. The influence of parameter variation on the exported function Rec1(0) in Hopf normal form is studied and numerical shooting method is also used for mutual verification. Furthermore, the bifurcation situation, subcritical or supercritical, is also discussed. The study shows that the sign of Re(λ) determinates the stability of linear system, and the sign of Rec1(0) determines the property of Hopf bifurcation with Rec1(0)】0 for supercritical and Rec1(0)【0 for subcritical.

关 键 词：high SPEED vehicle BIFURCATION critical SPEED LIMIT cycle NORMAL form 

分 类 号：U270.1[机械工程—车辆工程]