Modeling of Pantograph-Catenary dynamic stability

The purpose of this paper is to describe the possibilities of studying the influence of forces external variables on the stability of motion of dynamical systems modeled by systems of differential equations with periodic coefficients of stability. The method is applied to analyze the influence of external harmonic forces on the stability of motion of the pantograph couple - contact wire electric locomotive. The system parameters consist of two concentrated loads, the bending stiffness, tensile horizontal viscous damping and that the mass per unit length of the yarn, the other coefficients of damping and stiffness of the system elements and a constant speed specified in the template. We study the stability of the system using these parameters. In this study, we analyze a review based on background studies on pantograph systems.