Nine DOF Bogie Curve Movement Research

Railway vehicle as an important tool of People’s Daily travel and transport goods, has an important influence on the economic development of countries around the world, this paper mainly on the part of the railway vehicle bogie system has carried on the detailed and thorough analysis, mainly through the nine mutually coupled and nonlinear differential equations are numerically simulated, based on the bifurcation diagram, phase track diagram, such as Poincare section graph analysis, finally determine the frame and wheel on the critical velocity, when bifurcation occure, happen bifurcation, when to chaos and the movement forms graph description bogie.The first chapter mainly introduces the research status of bogie system at home and abroad, the main problems and the research methods of this article. Hence the corresponding research work.The second chapter mainly introduces the theoretical analysis of the bogie straight line, curve movement are introduced in this paper, by using the creep rate and creep force calculation, wheel orbit coordinate system, the wheels of bogie system, reciprocal transformation of coordinate system, the contact point, the more contact relationships, wheel/rail contact relationship of this paper USES the nonlinear contact with the actual movement in line with the good relations.In the third chapter analyzes the ideal flat orbital symmetry movement, through the analysis of the bifurcation diagram, know the critical speed, for the bogie, and provides theory basis for the design of the vehicle. Research shows that when the bogie at low speeds, system, fixed cycle exercise with period-doubling bifurcation speed increase, then into chaos, and mixed with many cycles window. But the system movement is always symmetrical about in center of rail.The fourth chapter mainly discuss bogie curve through the asymmetric bifurcation stable orbits, the analysis process is similar to the third chapter, the difference is that the existence of Angle of inner and outer orbit ultra-high, increased centrifugal force makes the movement differential equation, studies show that when the bogie at low speeds, system, fixed cycle exercise with period-doubling bifurcation speed increase, then into chaos, and mixed with many cycles window. But the system movement is not symmetrical about in center of orbit.