Railroad safety standards in many countries include monitoring by floor-mounted infrared detectors for heating axle boxes and wheels. Their use is justified from the point of view of preventing emergency situations and reducing operating costs in rail transport. The purpose of the paper is the development of a comprehensive model of the process of heating and thermal control of the axle box assembly and the wheel as an element of the brake system of rolling stock. The studies were carried out using numerical methods of mathematical modeling (finite element method, computational mechanics). The calculated waveforms of signals for various options for orienting infrared optics to axle boxes of several types of design and wheels are obtained. The approach shown demonstrates the feasibility of applying methods of mathematical modeling of heating and thermal control of rolling stock units at the stage of heat control facilities designing. Taking into account a wide range of physical phenomena and factors, as well as a block description of the proposed complex model, allowed creating a flexible solution for studying the mentioned processes and making decisions regarding the main parameters of heat control.
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