Lateral stability analysis and equivalent circuit simulation of double-axis bogie

Abstract

The stability of the bogie limits the maximum safe operating speed of the vehicle. The analytical methods are diverse and have their own characteristics. In this paper, the dynamics equation of the double-axis bogie model is established. The critical velocity is calculated by Matlab, and the reduced order is converted into an equation of state according to the characteristics of the mathematical model. The analog circuits of addition and subtraction, differentiation and integration, which are composed of resistive and capacitive elements and operational amplifiers, are mathematically equivalent. The equivalent circuit simulation and numerical simulation established by Multisim are compared and analyzed, and the simulation results are basically the same, which indicates that the equivalent circuit not only has the advantages of real-time parameter adjustment and fast calculation speed, but also has good equivalence and feasibility, which provides a reference to the research and analysis of mechanical system dynamics.