Abstract: In order to better understand the mechanical behavior of railway vehicles from a straight track into a curved track, the steady-state solutions(equilibrium points) of a vehicle system are investigated. By using the DERPAR algorithm, the numerical calculation of steady-state solutions of a vehicle system from a straight track through a transitional track to a constant radius curved track is continuously accomplished, and the calculation efficiency is improved. And the steady-state solutions obtained by using the DERPAR algorithm do not contain transient components. Therefore, the influence of the parameters of a vehicle system on its dynamic behaviors can be clearly presented. The research lays the theoretical foundation for the design of the system parameters.