Кафедра Фізика та прикладна математика (КФПМ ФКТС ДІІТ)

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UKR: У 2024-2025 роках була окремою кафедрою, що не належала до жодного факультету.

ENG: Department of Physics and Applied Mathematics
In 2024-2025, it was a separate department that did not belong to any faculty.

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    Mathematical Model of Mine Locomotive Pulsating Braking by a Disc Brake
    (Dnipro University of Technology, Dnipro, 2025) Monia, Andrii H.
    ENG: Development, solution and analysis of a mathematical model to determine the dynamic and kinematic characteristics of a mine locomotive drive during braking with a pulsating braking torque. The methods. Forced oscillations of the elements of the wheel-motor unit (WMU) of a mine locomotive during braking with a disc brake were investigated using the methods of differential calculus and mathematical modeling. The integration of the system of differential equations was performed using the Runge-Kutta method. Findings. A mathematical model has been developed for braking a mine locomotive using a disc brake, which creates a pulsating braking torque on the axle of the wheelset, depending on its angular coordinate, taking into account the nonlinear dependencies of the adhesion coefficient on the relative slip in the braking mode of the mine locomotive for various track conditions, on the basis of which the braking torque parameters are established, allowing for improvement of braking characteristics. The friction characteristics of the interaction between the wheel and the rail during braking with a pulsating braking torque in mine conditions are theoretically substantiated. By means of mathematical modeling of the process of braking a mine locomotive with a disc brake, which creates a pulsating braking torque on the axle of the wheel pair, the parameters of the braking torque were established, ensuring high braking characteristics. The originality. The dependences of the path and speed of the locomotive, the angular velocity and relative slip of one of its wheels, the coefficient of adhesion and the adhesion force of one of the locomotive wheels to the rail, the difference in the linear speeds of the locomotive and one of its wheels, the longitudinal force in one of the rubber-metal hinges of the wheel pair suspension on time during braking with a pulsating braking torque were obtained. Practical implementation. A scientifically based engineering technique has been developed that allows, at the design stage, to select rational parameters of the disc brake of a mine locomotive, which creates a pulsating braking torque that ensures the implementation of the maximum braking force on the wheel-rail coupling during braking and determine the dynamic and kinematic characteristics of the mine locomotive drive during braking with a disc brake with a multi-sector disc under different initial data (rail track condition, train weight, initial locomotive speed).