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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 The dynamic analysis of the state defense forces group logistics support system using of the queuing model(Національний технічний університет "Харківський політехнічний інститут", 2020) Sydorenko, Yevhen; Makogon, Helen; Isakov, Oleksandr; Korda, Mykyta; Mosiychuk, Mykhaylo; Klimov, AlexejA model of queuing is proposed to describe the logistics support process for the state defense forces group. In the model, the transitions of the sample of weapons from one state to another are carried out with intensities, μ or λ dependіs on the influence of the external environment and management. Within the framework of the proposed model, a differential equations system is obtaineddescribes the average numbers of weapons samplesin different states during their operation in the army. The obtained differential system solution corresponding the model is a quantitative estimate of the required number of weapons needed to ensure a given level of combat readiness and serviceability of state defense forcestroops, as well as optimal management of procurement, repair and modernization of weapons over certain time.Документ Application probabilistic economic mathematical models for optimization planning of an irreducible stock and improving the efficiency of logistics supply management of the state defence forces without redusingthe level of reliability(Національний технічний університет "Харківський політехнічний інститут", 2020) Sydorenko, Yevhen; Makogon, Helen; Korda, Mykyta; Isakov, Oleksandr; Babkin, Yuri; Kalinin, IgorThe subject matter of the article is the logistical support of the state defence forces.The goalof the study is the is the development of a probabilistic economic and mathematical model of logistics supply management for planning a non-reducing stock of the state defence forceslogistics supply. The tasks to be solved are: to formulate the task of determining the irreducible (reserve) of logistics supply stock size, to providethat the maximum possible value of its probability exhaustion within a certain period will not exceed the limiting value in terms of Wilson economic and mathematical model; by statistical processing of the state defence forces actions observation performingtheir assigned tasks to present the task of determining the optimal non-reducing stock by type of logistics cost without to reducing the level of reliability as a task to test multi-alternative statistical hypotheses; on the basis of solving the problemof continuous linear programming to determine the optimal non-reducible stock according to the nature of expenditures in order to improve the logistics supply management of the state defence forces. General scientific and special methods of scientific knowledge are used. The following resultswere obtained: Loses of the logistics supply stocks the defensestate forces performing their assigned tasks within a certain period of time as a normally distributed random variable with a mathematical expectation and standard deviation calculated from the results of statistical data processing. The problem of determining the optimal irreducible stock by types of loses of the logistics supplywithout reducing the level of reliability is formulated as a problem ofmulti-alternative statistical hypotheses testing and solved as a problem of continuous linear programming. Conclusions. It was determinedthe size of the non-reducing (reserve) stock of logistics supply of state defense units when performing their assigned tasks, provided that the maximum possible value of the probability of its exhaustion during a certain period does not exceed the limit value should be formulated in terms of Wilson economic-mathematical model. The assumption that the expenditure of the logistics supply stocks means when performing the assigned tasks by the state defense forces is a random variable subject to the normal distribution law make it possible to use the well-known theory of probability apparatus and many-alternative statistical hypotheses testing and make calculations based on the existing statistical sampling data. Statistical processing of data obtained during state defense forces preforming assigned tasks allows you to obtain initial data and calculate the predicted optimal probabilities of the logistics supply loses distribution in accordance with current, average, overhaul and irrecoverable losses.Документ Justification of maintenance parameters of a weapons and military equipment sample with regard to structure, time-based redundancy and levels of health(Національний технічний університет "Харківський політехнічний інститут", 2019) Kovalov, Ivan; Bazeliuk, Volodymyr; Isakov, Oleksandr; Kalinin, Igor; Shapoval, OleksandrThe subject matterof the article is the maintenance of armored weapons and military equipment samples used for their intended purpose. The goal of the study is to justify the optimal values of service parameters. The tasks to be solved are: to develop a mathematical model of the functioning process of the weapons and military equipment sample subsystems with periodic maintenance taking into account its structure, time redundancy and levels of performance; to cary out composition of the weapons and military equipment sampleinto separate subsystems to justify the choice of the most appropriate maintenance strategy for each of them, to determine the optimal maintenance strategy taking into account the operating conditions, units and units involved. General scientific and special methods of scientific knowledge are used. The following results are obtained: It is proposed to determine the optimal values of maintenance periodicity for individual subsystems of the sample of weapons and military equipment, taking into account the reserves of timeand features of operation, as well as combining the operations of maintenance of individual subsystems into a single set of works for the sample as a whole based on the representation of the process of operation of the subsystem of the subsystem of the subsystem as a mathematical model of a randomsemi-Markov process. Conclusions. An analysis of the existing maintenance and repair strategies has shown theirsingle-handedly inefficient in the weapons and military equipment sample operating. The example of the T-64B shows that to put troops into practice, a proper justification and a complex combination of existing strategies is required, ie the creation of a new mixed strategy and efficient use of equipment. It is proposed to decompose the weapons and military equipment sample into separate functionally completed subsystems, justifying the choice of the most appropriate maintenance strategies for them (with periodic or maintenance status), determining for each subsystem the optimal strategy and accordingly the periodicity of maintenance taking into account the time reserves and operation features, as well as separate subsystems into a single set of weapons and military equipment sampleworks for the sample as a whole. Optimal values of maintenance periodicity and coefficient of technical use are obtained by means of a mathematical model of the process of functioning of the T-64B subsystems with periodic maintenance in the form of a random semi-Markov process. The results of the calculations show that for such tank subsystems as power plant, transmissionand undercarriage, electrics, it is advisable to choose a maintenance strategy with periodic maintenance, and for a fire control and air purification system maintenance as a condition.The results obtained can be used in the future to develop suggestions for improving the equipment used to diagnose the technical condition of the weapons and military equipment sample. Improvement of the equipment used in the weapons and military equipment maintenance and repair will significantly increase the depth and quality of determining the technical condition of the objects, and therefore the correctness and efficiency of maintenance.