Факультет робототехніки та штучного інтелекту
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Item type:Наукова стаття, Аналіз технологічного процесу отримання карбаміду як об’єкта керування(Луцьк: ЛНТУ, 2022) Смолянкін, Олег Олексійович; Федік, Леся ЮріївнаУ статті висвітлено актуальність процесу отримання твердого карбаміду та області його застосування у сучасному господарства. А також розглянуті методи його отримання. Крім цього описаний технологічний процес виробництва карбаміду, властивості продукту і його технічні характеристики. У статті зазначені контролюючі і регулюючі параметри технологічного процесу виробництва карбаміду. Представлені технічні характеристики до продукту карбаміду і схема взаємозв’язків параметрів процесу отримання сировини в ректифікаційній колоні.Item type:Наукова стаття, Directed Formation of Quality, as a Way of Improving the Durability of Conjugated Parts of Friction Pairs(Springer, Cham, 2020) Tkachuk, Anatolii; Zablotskyi, Valentyn; Kononenko, Andriy; Moroz, Serhii; Prystupa, StanislavIn the article the research of possibilities of directed formation of indicators of quality is given, by selecting technological operations and appointment of corresponding processing regimes. Studied approach directed formation of quality, based on the elements of theories of technological inheritance and interference of quality, which can reduce the role of random factors and their complex combinations in the process of providing regulated quality indicators, which in turn reduces the field of dispersion values performance and improves the quality of processed details. It is noted that for implementation of directed formation it is necessary to determine technological parameters, with the help of changing the values of which, it is possible to control the values of their indicators, which evolve in the process of mechanical processing. This will completely eliminate or reduce the impact of those indicators that worsen the performance properties of parts. It was revealed that the nature of manifestations of technological heredity is influenced by the conditions of implementation and the type of technological operations. It is advisable to apply this approach in the initial machining operations in order to initialize the manifestations of those indicators that improve the performance of the parts in general.Item type:Наукова стаття, Structure and Properties of Surface Bandage Shelves for the Gas Turbine Engine’s Blades(Springer, Cham, 2021) Zaichuk, Natalia; Shymchuk, Sergiy; Tkachuk, Anatolii; Feshchuk, Yuriy; Szczot, JacekAnalysisofthepropertiesofthematerialsfromwhichthepartsofagas turbine engine are made showed that they must have a high melting point, high strength, high creep resistance, and be machined. Therefore, the best option for strengthening the blades of titanium alloy VT3–1istheformationinthewearzone ofathermodynamicallycompatible,heat-resistant,andwear-resistantlayer,which is different fromthemainmaterialoftheblade.Samplesforresearchwerecutfrom the bandageshelvesofthecompressorbladeintheshankarea:thefirst-withhighquality soldering relite, the second– the shelf is worn, and there is a defect in the formofadrop.Itwasfoundthatthemaintitaniumalloyhasahomogeneousstructure, and the surface of the defective coating has a lower roughness, microcracks. Its local areas differ in elemental composition. Clusters of pores explain the clear andwidegrainboundariesoftitaniumalloyunderdefectivesolderingattheboundaries. Such clusters of defects are etched more strongly than the base metal, so the base alloy has aneedle-like martensite hardened structure formed byrapid cooling in the air after soldering. It is proved that such defects are formed due to the violation of soldering technology. It is proposed to create a protective layer of composite material VTN-1 with tungsten particles, which contains solid parts of tungsten carbide and titanium-based solder VPr16, to strengthen the working blades in the wearing zone.Item type:Наукова стаття, Influence of Technological Methods of Processing on Wear Resistance of Conjugated Cylindrical Surfaces(Springer, Cham, 2021) Zablotskyi, Valentyn; Tkachuk, Anatolii; Moroz, Serhii; Prystupa, Stanislav; Svirzhevskyi, KostiantynWear of any tribological pair leads to malfunction or failure of the entire mechanism. It is known that the process of wear of friction pairs occurs in three periods: running-in, normal wear, accelerated wear (destruction). Working surfaces of parts that are formed in the manufacturing process receive micro geometric characteristics (roughness, undulation), according to the regulated technological norms. These characteristics describe the properties of the technological surface topography. However, quantitative micro geometric parameters change as they evolve during running-in, and the surface receives a new operational relief that is stable for a long time during normal wear. It is an operational relief of conjugate surfaces that characterizes the qualitative properties of parts for a long period of operation. The running-in process, which is based on complex mechanical, physical, and chemical processes, determines the overall wear resistance of parts. After this period, the physical, mechanical, and geometric characteristics of the surface acquire optimal values corresponding to the operating conditions. Rational performance characteristics during normal wear can self-sustain, and they are continuously reproduced independently in the same values. This state of the surface layer is observed before the beginning of the third stage of the life cycle. Traditionally, to ensure regulated micro geometric characteristics of the working surfaces used grinding, smoothing, and lapping diamond pastes. At the present stage of development of equipment and technology in a row with the mentioned finishing operations, there is an operation of high-speed turning, which allows reaching high purity of surfaces with the lowest cost of the technological process.Item type:Наукова стаття, Latex system in distance learning of the probability theory(2023-11-20) Hubal, HalynaArticle discusses the main issues for writing interactive mathematical tests in the LaTeX system. The LaTeX system is convenient to use for writing interactive mathematical tests in distance learning. We use the eqExam package, the AcroTeX eDucation Bundle package, the turnthepage package in order to write interactive mathematical tests, for example tests on the probability theory. For this, we create (tasks) of the “True/False” type, the “Short Answer” type, the “Essay” type (“Specifying a Definition”, “Justification of a Theoretical Hypothesis”) and the “Multiple Choice” type.Item type:Наукова стаття, Methods of Evaluating the Wear Resistance of the Contact Surfaces of Rolling Bearings(2021) Svirzhevskyi, Kostiantyn; Zabolotnyi, Oleg; Tkachuk, Anatolii; Zablotskyi, Valentyn; Cagáňová, DagmarIn modern conditions of development of mechanical engineering, high priority is given to experimental and material science aspects of assessing the wear resistance of conjugate friction surfaces, which consist of the selection of materials with high wear resistance characteristics. However, this way, you can only reduce the intensity of the wear process, but not control the wear process itself and, most importantly, the changes in the state and performance of the mating surfaces that occur as a result of the wear process. The durability of machines is laid down at the design stage and depends on the design scheme, materials used, lubricants, and other factors. An increase in the durability of mated machine parts is impossible without creating modern engineering methods for calculating wear resistance, which would consider the physical and mechanical characteristics of materials (friction pairs, modes of operation of the load node, and angular velocity), external friction conditions (environment, and lubrication), as well as the design and technological features of the friction interface. During the wear of two contiguous bodies, the unevenness of one surface is exposed to the unevenness of the other surface. In this case, the irregularities of the more durable material act similarly to the abrasive elements, cutting off the thin chip from the micro-irregularities of the surface of the less durable material. At the same time, the irregularities that cut this chip wear themselves out, just as cutting abrasive tools wear out.Item type:Наукова стаття, Methods of functional analysis for the discrete velocity model of the BBGKY hierarchy of equations of symmetric systems of particles interacting as hard spheres(Singapore, Republic of Singapore: International Center of Scientific Research, 2025) Hubal, HalynaA dynamic symmetric system of particles interacting as hard spheres was considered in the article. Such systems are used in a number of scientific areas such as mathematical physics, theoretical physics, mathematical biology, mathematical economics, chemistry, and modern nanotechnology. It was proved that the functional series of the cumulant representation of the solution of the discrete velocity model of the Cauchy problem for the BBGKY hierarchy of equations with initial data having the chaos property converge in the norm of the space of sequences of summable functions. Under the condition of low densities, it was proved the existence and uniqueness of the solution of a closed evolution equation obtained from the solution of the Cauchy problem for the BBGKY hierarchy of equations, which is important for deriving the generalized kinetic equation.Item type:Наукова стаття, Analysis of approaches to the study of limits of sequences and functions and the use of information technologies(2024-01-25) Hubal, HalynaArticle analyzes approaches to the study of limits of sequences and functions and the use of information technologies. The theorem on the limit of an intermediate sequence is of great importance when investigating the convergence of sequences and when calculating the limits of sequences. It is developed an algorithm for applying this theorem that is illustrated with examples. An example of calculating the limit of a function with a geometric interpretation of the obtained result is considered. The possibility of completing the calculation of limits at infinity, using the program code written by the author in the LaTeX programming language, is considered.Item type:Наукова стаття, ОПТИМАЛЬНА ПОБУДОВА МАТЕМАТИЧНИХ ТАБЛИЦЬ І ВИЗНАЧНИКІВ МАТРИЦЬ У СИСТЕМІ LATEX(Луцьк: ЛНТУ, 2025-02-12) Губаль, Галина МиколаївнаУ статті здійснено оптимальну побудову математичних таблиць і визначників матриць у системі LaTeX. Створено нові команди (макроси), які будують математичні таблиці, в яких значення першого рядка автоматично заповнюються і здійснюється умовний друк значень другого рядка; записують введені матриці в пам’ять та виводять записані матриці; генерують визначники матриць шляхом виключення заданого рядка і заданого стовпця.Item type:Наукова стаття, Digital technologies as a powerful toolkit for improving the quality of students' mathematical training(Kraków, 2025) Hubal, HalynaThe article considers the application and impact of digital technologies on improving the quality of students’ mathematical training. It is shown the advantages of using digital technologies. It is described the features of deepening students’ knowledge through digital technologies.