Computing and Modeling of Urban Railway Traction Transmission System

Four subsystems in urban railway traction transmission system are analyzed respectively. The kinematics and dynamics of a moving railway vehicle and a suspended motor with gaps are outlined. Whereafter the mathematical model of a suspended motor with a gap and a suspended rolling wheelset are set up. The paper makes a concrete analysis of the main factors to cause instability and chaos in four subsystems, and takes the wheel-rail impact system for concrete researching. The problems are analyzed numerically and the results are presented mainly as global bifurcation diagrams and phase plane portraits. Several kinds of dynamical behaviour are identified in the investigated systems. Symmetric and asymmetric oscillations with impacts are found. Routes from periodic impact to chaos are analyzed. The bifurcations are described, and ranges with chaotic motion are identified.