Abstract
In this article, the considered principles for the development of calculation schemes and the subsequent formation of vibration equations are a special case of classical simulation of motion in space of solid body systems connected in space by kinematic connections. This approach is useful with limited computational capabilities and an assumption of the relativelysmall bodymovements inherent in railway crew bodies, and reduces the task of motion research to analysis of fluctuations.Various design schemes of freight car truck, mathematical modeling of systems dynamics, "crew-track" safety of freight car movement and withdrawal under different technical conditionsof running parts and track are considered in this work.