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The article presents the results of modeling the force fields in the elements of the wheel-motor unit of the electric locomotive 2ES10. The mathematical model is obtained on the basis of the Lagrange equations of the ΙΙ kind. A design scheme for the study of the dynamic behavior of the wheel-motor unit is presented. Expressions for the deflection of the elastic elements of the traction motor suspension, elastic and dissipative forces are given. A method for determining the vector force field at the articulation site of the bracket and thrust suspension TEM is proposed.

A mathematical model has been developed for an adaptive automatic brake control system for a freight train using an Extended Kalman Filter (EKF) to identify the actual parameters of the train and its braking system. To evaluate the performance of the proposed automatic control system, a simulation experiment was carried out using a probabilistic formulation of the research problem and the developed automatic brake control model. The purpose of the experiment is to determine the probabilistic characteristics of the random variable representing the deviation of the train’s stopping coordinate from the specified value. The adequacy of the number of simulation runs for obtaining reliable statistical characteristics in this study was determined using a method for estimating the confidence interval bounds for the sample mean and variance for the given number of trials. Histograms were obtained for the distribution of stopping-point deviation during targeted braking with the EKF algorithm switched off and on. To estimate the probability that the stopping-point deviation exceeds the specified limit, a theoretical distribution law for the random variable was selected and verified using the nw2 goodness-of-fit test. It is shown that without the proposed algorithm for identifying braking system and train parameters (the Extended Kalman Filter, EKF), the deviation from the target stopping point during precision braking can lead to serious violations of train-operation safety. The proposed automatic pneumatic brake control system provides high-quality control, improving the accuracy of targeted stopping of a train at a specified track coordinate. The work was carried out at the expense of budget financing within the framework of the state assignment No. 103-00001-25-02 dated 20.03.2025.

Analysis of failures of axlebox units of bogies for freight cars in the network of JSC «Russian Railways» for the period from 2010 to 2012, disadvantages of this node known construction trucks of the car of model 18-100. Defined vertical, horizontal and longitudinal loads acting on the buchs site. Mathematical modeling of the dynamic loading roller bearing axle-box under radial load. The influence of dynamic loads and defects in a roller bearing axle-box site on a safety of movement of the carriage.

The development of railway transport is currently impossible to imagine without the use of mathematical models and algorithms. Consider the increase in speeds, reduction of travel time, while minimizing costs, is possible only with the qualitative and full use of the mathematical apparatus. The use of information technologies makes it possible to take an effective decision in the development of a project for the reconstruction of a railway line. The current state of the theory of railway transport is characterized by the presence of a developed system of mathematical models and algorithms for analyzing various features of railways. This opens up possibilities for building an approach to the problems of searching and optimizing design solutions on a mathematical basis, with the reduction to a minimum of costly and time-consuming physical modeling procedures. One of the main tasks that are set for the railway transport in the near future is to increase the speed of trains on existing railway lines with the use of computer technology (computer-aided design). The article deals with the problems of technical reconstruction of the railway plan to increase the speed of train movement. The urgency of the use of computer mathematical methods for the development of an optimal plan for increasing the speed of trains. A pair of mutually dual problems of optimal reconstruction of railway curves to increase the speed of trains with minimal capital investment is considered. As methods for solving the problems posed, the following methods were proposed: the method of steepest descent, a modified method of dynamic programming (the Cattell method), the method of indefinite Lagrange multipliers. The expediency of using each method to solve the problem is indicated. The considered methods allow to implement a number of computer-aided design procedures for the reconstruction of the railway plan.