On the parametric stability of the pantograph-catenary dynamical system

The aim of this paper is to describe the possibilities of study the influence of the variable external forces about the stability of motion of the dynamical systems modelled by differential equations system with periodical coefficients through the Floquet theorem. The method is applied to analyze the influence of the harmonic external forces on the stability of motion of the couple pantograph - contact wire of the electrical locomotive. The parameters of the system consist of two concentrated masses, the bending stiffness, the horizontal tension, the viscous damping and the mass per unit length of the wire, the other damping coefficients and stiffness elements of the system and any constant speed specified in the model. We study the stability of the system using these parameters.