Journal ArticleDOI
Bifurcation\instability forms of high speed railway vehicles
TLDR
In this paper, a dynamic model of the vehicle system including a semi-carbody and a bogie is established, and the bifurcation diagrams of the two types of high speed vehicles are extensively studied.Abstract:
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 relations 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 Rec
1(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 Rec
1(0) determines the property of Hopf bifurcation with Rec
1(0)>0 for supercritical and Rec
1(0)<0 for subcritical.read more
Citations
More filters
Journal ArticleDOI
Parameters Study of Hopf Bifurcation in Railway Vehicle System
Xingwen Wu,Maoru Chi +1 more
TL;DR: In this article, the authors investigated the influence of the vehicles' parameters on the features of Hopf bifurcation in a suspended single wheel set model, where the lateral and yaw motions of the wheel set were taken into account; restoring forces between the flange and rail were considered as a smooth function through polynomial fitting; wheel tread profile was assumed to be conical; suspension elements and creep forces were considered to be linear properties.
Journal ArticleDOI
Influencing factors of the dynamic hysteresis in varying compliance vibrations of a ball bearing
TL;DR: In this paper, the hysteretic characteristics of the varying compliance (VC) principal resonance in a ball bearing were investigated by using Floquet theory, and the resonant response displays a swallow-tail structure due to the coupling nonlinearities between the Hertzian contact and the bearing clearance.
Journal ArticleDOI
Bifurcation analysis of high-speed railway wheel-set
Tingting Zhang,Huanyun Dai +1 more
TL;DR: In this article, a lateral mathematical model of a railway wheel-set with two degrees of freedom has been built to study the effect of yaw damper on the stability of high-speed wheelset, the constrain between the wheelset and the bogie is assumed as rigid.
Journal ArticleDOI
Instability phenomenon associated with two typical high speed railway vehicles
Hao Dong,Bin Zhao,Yuanyuan Deng +2 more
TL;DR: In this paper, the lateral dynamic models of the high speed railway vehicles are established with the nonlinearity of wheel-rail contact and the non-smoothness of yaw damper taken into consideration.
Journal ArticleDOI
Hopf bifurcation analysis of railway bogie
TL;DR: In this paper, the effect of the yaw damper and wheel tread shape on the stability and bifurcation type of the railway bogie was analyzed, and the center manifold theorem was adopted to reduce the dimension of the bogie dynamical model.
References
More filters
Book
Elements of applied bifurcation theory
TL;DR: One-Parameter Bifurcations of Equilibria in continuous-time systems and fixed points in Discrete-Time Dynamical Systems have been studied in this paper, where they have been used for topological equivalence and structural stability of dynamical systems.
Journal ArticleDOI
A Fast Algorithm for the Simplified Theory of Rolling Contact
TL;DR: An algorithm “Fastsim” for the simplified theory of rolling contact is described which is 15-25 times as fast as the existing programs Simrol (Kalker), and 3 times asfast as Rolcon (Knothe).
Book
Dynamics and Bifurcations of Non-Smooth Mechanical Systems
Remco I. Leine,Henk Nijmeijer +1 more
TL;DR: In this article, the authors present preliminary preciminaries on non-smooth analysis of continuous continuous systems with set-valued force-laws and derive a fundamental solution matrix.
Related Papers (5)
Hopf Bifurcation and Hunting Behavior in a Rail Wheelset with Flange Contact
Mehdi Ahmadian,Shaopu Yang +1 more
Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track
Krzysztof Zboinski,M. Dusza +1 more