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The article is devoted to the problems of sports development as one of the key means of popularizing a healthy lifestyle among the population in the context of sustainable development. General scientific methods (analysis, synthesis, comparison, generalization) and specific scientific methods (sociological and historical) were used during the research. The article presents the results of a survey of people who live in Yekaterinburg and are over the age of 18 (N=118, 2023) regarding sports and a healthy lifestyle. Special attention is paid to sports and its impact on national identity and economic development of the state. The role of the state in the development of sports and physical culture is also analyzed. The problems that negatively affect the development of sports and, as a result, its use as a means of spreading a healthy lifestyle are highlighted. It is concluded that the solution of the accumulated problems in the field of sports is possible only thanks to the joint efforts of the state, business community and population.

Modification of bitumen with polymers is an effective way to improve its properties. Despite the sufficiently widespread use of this method, currently there are practically no appropriate methods of this process calculation. Moreover, there are almost no the models to determine the size of formed polymer particles in modified bitumen of non-traditional polymer modifiers. The paper gives a mathematical description of the secondary polyethylene terephthalate particles formation in bitumen during the process of its modification. In terms of the stochastic approach, we obtained the analytical expressions for the differential distribution function of polymer particles in size, as well as the average size, surface, and volume. According to the research, increasing the rotation speed of the stirring mechanism leads to a decrease of the average particle size of the polymer. We use free software wxMaxima to perform the calculations.

Traction battery vehicles (TBV) are currently gaining more and more popularity and are gradually replacing vehicles with ICE and traditional transmissions. The usage of an electric traction drive as part of TBV solves a number of problems that manufacturers of this type of equipment face today: reducing harmful emissions into the atmosphere, reducing noise, used lubricants recycling, and the increase of the energy efficiency. From the point of view of the scientific research, this type of wheeled vehicles is also of high interest due to the large number of problems and tasks that have formed at the moment. It is a common knowledge, that one of the main problematic issues for the TBV is a rather limited range. In cargo electric vehicles and buses, in order to reduce the size and increase the usable volume of the passenger compartment or cargo space, as well as to unify the products of the power unit and drive, there are used the transmissions, which are the combination of mechanical and electrical components with appropriate control systems. The mechanical component includes a gearbox with one or more gear ratios, an inter-wheel differential, axle shafts, bearings and other components. The electrical component is a traction motor located directly in the drive axle (integrated) or on the outside of the crankcase, as well as a voltage converter with a control system and the necessary switching elements. Similar implementations of the driving axles of vehicles with traction batteries are called mechatronic transmissions.

This work is aimed at proecting an automated control system for an overhead crane based on a neural network, which will replace the operator, but it is possible to transfer this control back to the operator. The paper considers an approach to the development of the necessary software for the correct operation of the crane, the choice of equipment suitable for the task. The final part describes the program blocks necessary for operation, as well as locks.

Friction has a substantial influence on the metal forming at upsetting of cylindrical aluminum specimens. The finite element method is often used to investigate this problem. This paper aims to reveal possible numerical errors and obstacles related to the 3D finite element solution of the problem. The calculation results for the proposed numerical 3D-model are compared with the experimental data. The influence of friction is demonstrated and a good agreement on the tool displacement is obtained. The features of the numerical solution of the problem in the ANSYS finite element software are shown.

Considering rough surface profiles in a contact model is of decisive importance. In the up-to-date rough contact models there remained underexplored the opportunity of complete flattening of smaller asperities and therefore the need of using the multilevel roughness models, including fractal ones. If higher level asperities are not flattened completely when pressed, then they will be able to impact on the contact process. This paper considers model problems of elastic-plastic contact with hardening for a body with protrusions and two pyramids as the objects similar to asperities. Modeling results show that asperities are completely flattened only on condition of confined compression. For real contacting rough surfaces under low pressures, complete flattening of asperities will not occur. It is shown that roughness elements on the surface of the asperities do not disappear even at severe deformation of the latter. The reason is a combination of the asperity form and hardening of material, while the consequence is a reduction of the real contact area.

The article is dedicated to nonstationary simulation of DC air plasma torch. The mathematical model for the analysis of plasma jet instability is developed. The proposed 2D axisymmetric model demonstrates the physical processes taking place inside and in the outer region of the plasma torch. The influence of the power source parameters and anode geometry on voltage and plasma jet fluctuation is described. Simplified mathematical model is developed in order to assess the effect of the flow behavior on heat transfer processes. The developed model can be used for the design of plasma torches and their operation modes. The results of mathematical model verification are based on experimental studies.

The article is dedicated to nonstationary simulation of induction heating technology for the production of seamless large diameter tees. A mathematical model of induction heating process representing a multi-physical (heat transfer and electromagnetism) task for technology of tees production is developed. Numerical simulation was carried out for a flat spiral inductor. The developed model was verified according to the results of experimental studies. The hydrodynamic 3D mathematical model is developed for the design of the inductor cooling system. Optimal operating modes are determined by simulation results and confirmed by experimental data. The calculation results are presented for pipes with wall thicknesses: 15 mm, 40 mm, 60 mm, 70 mm.