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Документ Mathematical and physical basis for developing a simulator for towing and pulling of wheeled and tracked machines(Національний технічний університет "Харківський політехнічний інститут", 2021) Serhieiev, Alexander; Krivoshapka, Andriy; Isakov, Oleksandr; Lysenko, Vyacheslav; Moskalenko, Viktor; Burdin, SergiyThe subject matter of the article is the towing and pulling of wheeled and tracked vehicles with the use of cable ropes and dynamic slings. The goal of the study is to determine the mathematical and physical basis for the development of a simulator for towing and pulling wheeled and tracked vehicles for researching to study the possibility of using aramid fibers of cable-ropes and dynamic slings. The tasks to be solved are: based on the analysis of the main roads and ground characteristics to formalize the list of calculated parameters and physical quantities determine the amount of evacuation work when pulling, towing and transporting wheeled and tracked vehicles; to develop a mathematical model that describes the process of pulling and towing wheeled and tracked vehicles using cable ropes and dynamic slings. General scientific and special methods of scientific knowledge are used. The following results are obtained. By analyzing the main characteristics of roads and ground, a formalized list of design parameters and physical quantities that determine the volume of evacuation work during the towing and pulling of wheeled and tracked vehicles was obtained. Mathematical model, describes the process of pulling and towing wheeled and tracked machines using cable ropes and dynamic slings have been compiled as a system of equations with different order. analyzed existing technology for the production of aramid fibers, their strengths and weaknesses, and formed a research polygon with regard to the peculiarities of the operation of wheeled and tracked vehicles. Existing technology for the production of aramid fibers, their strengths and weaknesses, and formed a research polygon with regard to the peculiarities of the operation of wheeled and tracked vehicles have been analyzed. Conclusions. The main roads and ground characteristics that determine the vehicles. evacuation conditions are the following: the type of road or ground, their possibility depending on the season and precipitation, the presence of ascents and descents, as well as the nature of road (ground) interaction with caterpillars determined by resistance coefficients movement and traction. The mathematical model of pulling a wheeled and tracked vehicle using cable ropes and dynamic can be presented as a system of equations: the jerk carried out by the machine in time reflected third-order differential equation, assuming that all the energy accumulated by the cable is numerically equal to the work of moving stuck machine, corresponds to the equality of the corresponding integrals; the properties of aramid fibers that affect the strength and performance characteristics of cable ropes can be formally expressed through the elongation of the cable. Analysis of strength and service properties of aramid fibers opens the way to improvement of manufacturing technology of cable ropes and dynamic slings for pulling and towing of wheeled and tracked vehicles.Документ Application of the correlation analysis mathematical apparatus for determination the lead–acid batteries management and status control minimum diagnosis(Національний технічний університет "Харківський політехнічний інститут", 2021) Makogon, Helen; Suchko, Roman; Moskalenko, Viktor; Kalinin, Igor; Burdin, Sergiy; Iksarytsia, ViktoriiaThe subject matter of the article is the lead–acid batteries carrier and management.The goal of the study is the development of a methodology for assessing the lead–acid batteries’ parameters and to provide recommendations for their long–term management and carrier in the army operation. The tasks to be solved are: on the basis of the lead–acid batteries operation experience to define a set of diagnostic parameters on which it is possible to draw a conclusion about the technical state of a battery and change of its electric, operational and design properties; to determine the correlations between the properties of the battery and make their assessment based on the established criteria; to build a diagnostic graph–model of causal relationships of a battery’s parameters in the form of a correlation galaxy; to justify the lead–acid batteries carrier and management minimum diagnosis which can be carried out during their life cycle management та status control under the lack of time. General scientific and special methods of scientific knowledge are used. The following results were obtained: The set of diagnostic parameters to assess the battery technical state was determinated. Statistical data processing using the mathematical apparatus of correlation analysis was done. The diagnostic graph model of a lead–acid battery in the form of a correlation galaxy was constructed. The lead–acid batteries carrier and management minimum diagnosis during the life cycle was determined. Conclusions. Analysis of the experience of the lead–acid batteries operation determines a set of diagnostic parameters, which can be used to draw a conclusion about the technical state of a battery and change of its electric,operational and design properties. As generalized diagnostic parameters of the battery technical state can be considered the State of Health and the State of charge. Statistical data processing using the mathematical apparatus of correlation analysis allows to determine the causal and dependencies between the battery’s parameters and make their assessment based on the established criteria. Presentation of generalized results in the form of a correlation galaxy makes it possible to build a diagnostic graph–model of battery in the form of a correlation galaxy. Control of the SoC and SoH of the lead–acid battery will ensure the monitoring of the remaining charge, as well as the issuance of a warning about the need to replace the battery. A promising direction in the development of battery operation can be considered the development of battery–powered trackers – software and hardware devices capable of caring for battery care and battery management.