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A mathematical model to estimate the dynamic coefficients of a moving freight train is given; an approach is used in which some train vehicles are represented by simplified calculation schemes and other vehicles are represented in detail by taking into account their design and the features of the transported cargo. The train motion along track of different shapes and in various operational modes (with constant and variable speeds) is modelled. Some simulation results are presented.

A mathematical model of conventional freight car motion with constant speed is developed taking the work of brake equipment into account. The influence of freight car conventional brake rig on the vehicle dynamics at motion is studied. The results obtained at the computer simulation have shown that in some cases brake equipment can worsen the car dynamics.

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When considering issues of increasing train speeds, it is necessary to conduct a preliminary assessment of the entire train dynamic characteristics and forces acting in the elements of cars and a locomotive, as well as in inter-car connections when driving at high speeds along a path of arbitrary shape in plan and profile, and also to consider emergency situations, which may take place during the motion. This in turn requires the development of reliable mathematical models simulating the train motion. The study of dynamic characteristics of railway rolling stock is associated with the consideration of vibrations of complex mechanical systems with a large number of degrees of freedom. The vibrations of cars in the train can be described either by one-dimensional or spatial model. The aim of this work is to show that for some studied cases the modelling of train motion by 3D models more accurately reflects the processes occurring in a moving train. Some results are discussed in the paper.