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# Факультет дизайну машин та захисту довкілля (ІПБТ) <br> Інститут промислових та бізнес технологій (ІПБТ)

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Інститут промислових та бізнес технологій (ІПБТ) EN: Faculty of Machine Design and Environmental Protection

Institute of Industrial and Business Technologies

Інститут промислових та бізнес технологій (ІПБТ) EN: Faculty of Machine Design and Environmental Protection

Institute of Industrial and Business Technologies

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Item Advancement of Risk Analysis Methods during Prolonging the Service Life of Industrial Equipment(Springer Nature Switzerland AG, 2023) Belodedenko, Sergii V.; Bilichenko, G.; Hanush, Vasyl I.; Izhevskyi, Y.Show more ENG: The aim of the work was to trace the relationship between the durability of the equipment and its maintenance strategy. This is done by examples of basic structures of industrial equipment. They have a long service life and during this time manage to accumulate certain damages that need to be diagnosed, after which decisions on its maintenance and repair must be made. Problems associated with the technique for extending the service life of industrial equipment are addressed. The authors have created a technique called the resource safety index (RSI), which uses this characteristic as a diagnostic metric. The usage of the risk function to control the technical state of base structures is shown in this study. It is demonstrated how the behavior of the risk function afects the choice of the inspection model. A risk function model for base structures is proposed, which is based on the concepts of stepwise assignment of the limit state and the corresponding useful life. An algorithm for determining the optimal period of restoration measures according to minimizing the cost intensity criterion, where the risk indicator is a parameter, has been developed. The proposed concepts were put into practice when deciding on the further operation of the housings of the 350 pipes rolling unit. The housings of the piercing mill and the automatic mill, which had been in operation for 80 years, were diagnosed. For the frst time, it was discovered that the housings risk function at the crack break through point stage can be represented by a linear dependence directly proportional to the accumulation of operating time. One of the signs of deterioration in the technical condition of rolling mill stands is a malfunction of the system of fxing and securing the housings.Show more Item Calculation of the Probability of Test Object Compliance with the Specified Requirements and Non-Binary Decision-Making Rules(MM Publishing s.r.o., Praha, Czechia, 2024) Rimar, Miroslav; Fedak, Marcel; Kulikov, Andrii; Bilonozhko, M. V.; Rudko, K. V.; Martynova, V. V.; Yeromin, Oleksandr O.; Savvin, Oleksandr V.; Sukha, I. V.; Krenicky, TiborShow more ENG: The probability of test object compliance with the specified requirements and non-binary decision is a measure of how likely the test object is to meet the criteria for acceptance or rejection based on multiple factors. It is necessary to calculate by using a valid mathematical model that takes into account the test object's characteristics, the test conditions, the test criteria, and the uncertainty of the measurements. The significance of the probability of test object compliance with the specified requirements and non-binary decision can help to evaluate the quality, reliability, and performance of the test object, as well as to support decision making in complex situations.Show more Item Cavitation Nozzles with Expansion Chamber(MM Maschinenmarkt, Czech Republic, 2022) Panda, Anton; Anisimov, Volodymyr Mykolajovych; Anisimov, Volodymyr Volodymyrovych; Pandova, Iveta; Klymenko, Anton; Ermakov, PeterShow more ENG: An expansion chamber for narrow part of cavitation nozzles is developed. Designs of cavitation nozzles with expansion chamber based on cylindrical nozzle and Venturi nozzle are proposed. The results of calculations of the fluid flow in the presented nozzles show the areas in nozzle, where cavitation is generated, their number, form and power. The plot of volume fraction of vapor phase shows the causes of an increase in the intensity of cavitation in new nozzles with expansion chamber. The main of them is that due to introduction of the expansion chamber, a little area of cavitation generation in the narrow part of cavitation nozzle turns to large one, that causes significant increase in cavitation intensity. The results of comparative experimental studies, which confirm the superiority of cavitation nozzles with the expansion chamber over the basic ones, show that cavitation nozzle with expansion chamber can provide 3 times higher intensity of cavitation, than basic cylindrical nozzle. Also, cavitation nozzle with expansion chamber on the basis of Venturi nozzle can provide 1.5 times higher cavitation intensity, than basic Venturi nozzle.Show more Item Characteristics of Thermal Processes in Ant Nests Built Under Stones (Hymenoptera: Formicidae)(“Charles Darwin” Sapienza University of Rome, Italy, 2022) Stukalyuk, Stanislav; Radchenko, Yury M.Show more ENG: Ants prefer to nest under stones. This is due to temperature regimes favorable to the development of ant broods. In this paper, we investigated the influence of stone and ambient parameters on ant nests and created a model of thermal processes in ant nests under stones. The simulation results were compared with temperature measurements. Temperature was measured under 20 stones under different illumination conditions (sun, penumbra and shade) for 3 ant species (Myrmica rubra, Formica cinerea, Lasius niger) in Ukraine from April to August 2021. Stones were categorized as hot, warm and cold. Each stone was checked once a week for the number of workers and brood. Under two stones, tem¬perature was measured using loggers. The number of workers under hot stones in spring increased three weeks earlier than under cold and warm ones. In May-June, the maximum number of workers was recorded under hot stones. In July, the number of ants was minimal under all categories of stones. Larvae appeared under hot stones two weeks earlier than under other categories of stones. In August, the number of pupae under cold and warm stones was greater than under hot ones. Number of larvae and pupae was positively influenced by the diameter of the stone, whereas stone height did not exert an important role. Ants preferred to inhabit nests under large flat stones, which are easily heated in spring and warm the soil under them. Another important characteristic was the location of the stones. The highest brood development was noted in nests under stones in open areas well lit by the sun in the daytime. In summer ants migrated from under hot stones, because soil under it dry and warmed. Stones and their position may be important factors in accelerating the development of brood in colonies of ant species that do not have active thermoregulation.Show more Item Coefficient of Local Loss of Mechanical Energy of the Flow for a Mixture of Charge Materials(Dnipro University of Technology, 2021) Selegej, Andriy Mikolayovich; Ivaschenko, Valeriy; Golovko, Vjacheslav Iljich; Kiriya, R.; Kvasova, Luydmila SergijvnaShow more ENG: Purpose. To determine the dependence of the coefficient of local losses of mechanical energy of flow of a twocomponent mixture of charge material on its depth, content of components, and average equivalent diameter of particles in the case of their freedispersed motion. Methodology. The value of the coefficient of local losses of mechanical energy was determined by the value of the hydraulic resistance of the fluid during its movement in open channels and pipes. In this paper, methods were used of comparative analysis, mathematical modeling and forecasting of dynamic processes in the flow of granular material. findings. Based on the results of theoretical studies, a mathematical model was obtained, the use of which allows calculating the coefficient of local losses of mechanical energy for the flow of a twocomponent mixture of charge materials with agglomerate particle sizes from 15 to 50 mm, pellets from 6 to 12 mm, coke from 10 to 60 mm. The developed model with satisfactory accuracy makes it possible to evaluate the movement of the charge from the indicated materials along the paths of the charging devices of blast furnaces at a speed in the range from 1.5 to 20 m/s and to determine the trajectories of the mixture of charge materials on the top with an accuracy of 0.2 m. It is noted that the calculation of the above coefficient by the known techniques is not accurate enough, which is associated with the uncertainty in the choice of a single average equivalent diameter of the particles of the two component charge. Comparative analysis of the developed model with the known models and experimental data indicates that the accuracy of calculating the dynamic parameters of a twocomponent flow of charge materials using the developed model increases by 5–10 % in comparison with calculations using the previously known models. Originality. For the first time, regularities of changes in the coefficient of internal mechanical losses of a twocomponent flow of charge materials from its depth, content of components, average equivalent particle diameters when moving along the paths of charging devices of blast furnaces have been established. practical value. Mathematical dependencies have been developed and can be used to determine the technological parameters of the charge of a modern blast furnace with different characteristics of the granulometry of the charge and the ratios of its components. This will increase the accuracy of predicting the course of the process under consideration, the degree of automation of the control systems for the technological process of the charge supply of blast furnaces, will make it possible to use expensive charge materials more efficiently, reduce energy consumption and reduce the harmful impact on the environment.Show more Item Determination of Particular Relative Reduction in Cold Rolling of Thin and Extra Thin Strips to Implement the Process with the Least Force(National Academy of Sciences of Ukraine, Publishing House Akademperiodyka, 2022) Vasilev, Ya. D.; Samokish, D. N.; Bondarenko, Oksana A.; Mospan, N. V.Show more ENG: Introduction. It has been theoretically established and experimentally confirmed that the elastic deformations of rolls and strips in cold rolling have a significant and, in the case of thin rod rolling, a crucial effect on all process parameters. Problem Statement. The influence of the elastic-plastic interaction of a thin strip with rolls, the tension, the temperature and rate of deformation, and the strength of strip material shall be taken into account for developing a modern theory of longitudinal cold rolling. Purpose. Modeling and forecasting the parameters of cold rolling of thin and extra thin strips. Materials and Methods. To solve this problem, the conditions of rolling strips made of 08kp steel with different degrees of preliminary metal hardening, which reflected the features and regularities of hardening the strip material in the multicellular state line, have been modeled. The partial relative reductions vary within 0.02—0.35, with the initial data corresponding to the most characteristic conditions of cold rolling of thin and extra thin steel strips on operating mills taken. Results. The quantitative data on the influence of the strip thickness, at the entrance to the deformation zone, partial and preliminary relative reduction during cold rolling on the process conditions with the least force. For the first time, the conditions and range of partial relative reductions for the cold rolling process of thin and extra thin strips with the least force have been determined. It has been established that in the case of cold rolling of thin and extra thin strips made of unriveted and pre-hardened steel, varying partial relative reductions within the range from 0.1 to 0.30—0.35 provides the realization of process with the least force. Conclusions. The implementation of cold rolling process with the least force is advantageous in terms of energy saving and manufacturability, as it allows reducing the specific consumption of electricity and expanding the range of cold rolling mills for smaller thicknesses of rolling strips and indicates the need to determine conditions for such a process.Show more Item Determination of the Critical Cyclic Fracture Toughness for the Mode II in Mixed Fracture of Structural Steels(Elsevier Ltd., Oxford, 2023) Belodedenko, Sergii V.; Hrechanyi, Oleksii. M.; Vasilchenko, T.; Hrechana, A.; Izhevskyi, Y.Show more ENG: The developed method of processing experimental data from tests performed according to the four-point asymmetric bending scheme made it possible to establish the coefficient of proportionality between the modes of failure I and II, which for structural steels is in the range of 2,5÷3. The established longevity before the appearance of the critical speed according to the developed models is within the limits of the natural dispersion inherent in fatigue failure, which indicates the effectiveness of the developed algorithm and the correctness of the determined indicators of resistance to failure. The problem of the appearance of an oblique crack during tests on four-point asymmetric bending has been solved. It can be assumed that about 90% of the growth of an oblique crack is caused by the contribution of the mode of failure II.Show more Item Determining the Thermally-Stressed State of Motor-Driven Bowls for Transporting Liquid Slag(РС ТЕСHNOLOGY СЕNTЕR, Kharkiv, 2024) Povorotnii, Viktor V.; Shcherbyna, Iryna V.; Zdanevych, Serhiі V.; Diachenko, Nina K.; Kimstach, Tetiana V.; Solonenko, Lyudmila I.; Usenko, Ruslan V.Show more ENG: Slag bowls were chosen as the object of research, as important components of blast furnace, steelmaking, and ferroalloy shops of metallurgical enterprises. The main problem of operation of any slag trucks is their limited durability and frequent destruction of slag bowls. The reason for these problems is changes in the shape of the bowls during operation, manifested in the formation of narrowing places in the area of the support ring – for rail-mounted bowls, destruction of supporting pins – for rail-mounted slag trucks, or cracks in the walls. Those defects appear as a result of cyclic thermal effects of liquid slag on the bowl. Based on the results of computer simulation, it was established that the main role in the destruction of the support pins of motor-driven slag bowls belongs to temperature changes. The temperature stresses arising in the bowl are localized in the area of the slag mirror (200–250 MPa for 25L steel, 280–350 MPa for 30HML steel). The results provide grounds for improving the presented slag bowl to reduce temperature stresses in its walls and structures of the supporting trunnions. The results reported here are explained by the fact that with uneven heating of elastic bodies, temperature stresses appear, which, under certain configurations of temperature loads, lead to the destruction of structures. The findings from these studies are recommended to be used at enterprises for the design and manufacture of slag bowls, as information on the localization of dangerous places of the structure. In addition, the data presented here could be useful for metallurgical enterprises for detailed technical diagnosis of bowls in their dangerous places.Show more Item Development of a Mathematical Model for the Energy Balance of the Laser Cladding Process of Metallic Powders with a Coaxial Nozzle(MM Publishing s.r.o., Praha, Czechia, 2024) Karakash, Yevhen O.; Rimar, Miroslav; Karpovych, Olena; Zhumar, Denys; Kizek, Jan; Fedak, Marcel; Kulikov, AndriiShow more ENG: Modern technologies require innovative solutions for producing complex structures from various materials. Additive manufacturing (AM) or 3D printing presents such a challenge and has significantly impacted the environment across manufacturing sectors, regardless of size. Researchers and technicians have developed new design approaches by exploring fundamental components, materials, and manufacturing processes beyond traditional frameworks, addressing global complex material and design challenges. Laser cladding of metal powders with a coaxial nozzle is one such technology, offering highly productive processes for large-scale component production. Fiber lasers are optimal for providing laser radiation, ensuring required emission quality and stability. The authors seek to develop a mathematical model for the energy balance of coaxial laser cladding of metal powders, aiming to provide an overview of energy consumption levels and unit characteristics for powder delivery, inert gas, and laser radiation sources in direct metal powder coating setups.Show more Item Development of a Methodology for Mechanical Testing of Steel Samples for Predicting the Durability of Vehicle Wheel Rims(Elsevier B.V., 2023) Belodedenko, Sergii V.; Hrechanyi, Oleksii. M.; Vasilchenko, T.; Baiul, Kostiantyn V.; Hrechana, A.Show more ENG: The reliability and durability of parts of aggregates and mechanisms of motor vehicles depend on the efficiency of the basic and responsible load-bearing structures. The responsible elements of the motor vehicle are the wheel rims, whose reliability will increase the energy efficiency of the motor vehicle as a whole. One of the directions for increasing the reliability of wheel rims is the use of optimized low-pearlite steels with the increased impact strength of the 10HFTBch type. When determining the mechanical characteristics of steels with increased impact strength, it is worth considering a mixed form of failure; therefore, the scheme of four-point asymmetric bending is optimal for laboratory research. Conditions of mixed failure for an oblique crack lead to a 25–45% decrease in the value of ΔКІm* relatively to the stress intensity factor ΔКІ* obtained for the pure I mode. The same can be said about the II mode, when ΔКІІ* determined during the growth of an oblique crack is 10% smaller than the value of ΔКІІ*, which is calculated for the pure mode of failure, This indicates an increase in the fatigue crack growth rate for mixed failure compared to pure modes.Show more Item Effect of Urban Habitats on Colony Size of Ants (Hymenoptera, Formicidae). In Memory of Professor A. A. Zakharov (Russian Academy of Sciences, Moscow)(Turkish Academic Network and Information Center, 2022) Stukalyuk, Stanislav; Akhmedov, Ascar; Gilev, Alexey; Reshetov, Alexander; Radchenko, Yuri M.; Kosiuk, NatalyShow more ENG: Urbanized ecosystems are suitable for the habitat of only a few species of ants, due to conditions caused by human activities. Invasive species of ants have adapted to urbanized ecosystems most successfully. The study of the ant colonies sizes started in Crimea in 2013–2014. In 2019–2021 it was carried out in Ukraine (the Carpathians, Kyiv city, and Kyiv region), in Russia (Rostov-on-Don city and region, and the Urals), and in Uzbekistan (Tashkent city, and tugai forests). The study covers natural (forest, meadow, steppe), suburban (alleys and tree planting) and urban habitats (tree planting along streets and roads, botanical gardens). Our study covers 21 species of ants with trails on forage areas. Nine species were sampled for interspecific comparison of colony sizes. They were collected in at least 2 habitat types within the same geographic region. According to the activity parameter on the trails, the number of foragers and the population of the colony were calculated (using the formula of A. Zakharov). According to our calculations, the maximum colony sizes are typical for invasive species (Crematogaster subdentata, Lasius neglectus, 100–7500 thousand workers) in the urban habitats. Some native species (Dolichoderus quadripunctatus, Formica cinerea) in the urban areas have colonies with 120–350 thousand workers. These values may exceed those for ant species inhabiting natural habitats (30–250 thousand workers). High rates of colony size in the urbanized habitats can be achieved due to availability of food, nesting resources, and the absence of competing ant species.Show more Item Energy and Technological Modelling of Metallurgical Processes from Out-of-Furnace Iron Processing to Continuous Casting(Baltija Publishing, Riga, Latvia, 2023) Stoianov, Oleksandr M.; Petrenko, Vitalii O.; Niziaiev, Kostiantyn G.Show more ENG: Purpose. Conducted energy-technological modeling of steelmaking processes. It is shown that at different stages of steel production, the increase in energy intensity of steel differs significantly and depends on the chosen technology, equipment and materials used. It has been established that for modern methods of off-blast refining of cast iron, the least energy-consuming technology is the use of mixtures based on lime and magnesium. For the oxygen-converter process, liquid cast iron contributes the largest increase in energy consumption, and for conditions of non-furnace processing of steel, the consumption of electricity for heating the metal. An assessment of the impact of the speed of steel pouring on the MBLZ and the carbon content in the metal on the energy costs of the process is also given.Show more Item Estimating the Residual Resource of Basic Structures Using a Model of Fatigue Durability under Complex Loading(PC TECHNOLOGY CENTER, Kharkiv, 2022) Belodedenko, Sergey V.; Hrechanyi, Oleksii M.; Hanush, Vasyl I.; Vlasov, AndriiShow more ENG: This paper reports the construction of a durability model of basic structures, which takes into consideration the complex stressed state under the cyclic action of the complex load. The models that take into consideration this factor are categorized on the basis of equivalent for a certain indicator of the stressed-strained state. The equivalence models based on the tangent stresses and strains have been recognized as the most effective ones. However, they hold when the ratio of the limits of fatigue under tangent and normal stresses exceeds 0.5. In addition, determining the latter requires specific testing equipment. The concept of basic bearing structures for industrial equipment has been formulated. The issue related to the multi-axis fatigue of basic structures was considered from the standpoint of combining the reliability indicators of systems. The durability model has been derived from the rule of combining resource safety indices. The load is represented as a combination of individual subprocesses of simple types of deformation with their amplitudes and asymmetries. A model of durability with multi-axis fatigue has been built, which takes into consideration the parameters of the form of the strain cycle, and the type of process (synphase, disproportionate, unchanging static stress). The possibility of obtaining parameters for the multi-axis fatigue model during tests for three-point bending under conditions of varying the multiplicity of the span has been confirmed. According to this scheme, fatigue tests of prismatic samples of the steels 09G2 and 40H were carried out. For them, the parameters of fatigue resistance were found; additionally, the ratio of the fatigue limit for tangent stresses of displacement and fatigue limits for normal bending stresses, which is equal to 0.385, was established. A test procedure has been devised to determine the initial data for the multi-axle fatigue model, which is suitable for conventional test machines and simple-shape samples. The latter advantage is important precisely for basic structures, from fragments of which it is difficult to fabricate a sample of a complex shape.Show more Item Experimental and Analytical Ways of Finding the Function of the Maximum Accumulated Damage under Operating Modes with Overloads(Elsevier B.V., Amsterdam, Netherlands, 2024) Belodedenko, Sergii V.; Hrechanyi, Oleksii. M.; Hanush, Vasyl I.; Izhevskyi, Y.Show more ENG: The problem of overloading was characterized as a factor of load history in the modern resource assessment methodology. The signs by which a loading cycle can be considered an overload were defined. A correlation was obtained between the failure mechanics approach and the damage accumulation approach to survivability prediction. An experimental and analytical method of its adjustment has been developed based on the regularities of the impact of loads on the accumulated damage. Its use in obtaining models of damage accumulation in 40Cr and 35CrMnSi steels was shown. New experimental data were obtained on the behavior of the accumulated damage function in the stress localization zones during bending, and an explanation of its non-monotonicity under the influence of operational factors was found.Show more Item Experimental Verification of the Survivability Model under Mixed I+II Mode Fracture for Steels of Rolling Rolls(Springer Cham, 2022) Belodedenko, Sergii V.; Hanush, Vasyl. I.; Hrechanyi, Oleksii. M.Show more ENG: The model of fatigue mixed fracture, which follows from the amalgamation rule of resource safety indices, has been experimentally confirmed. It does not require finding an effective SIF, but is based on the construction of survivability curves for pure modes. Survivability in a mixed process is defined as the result of combining individual fracture processes. Peculiarities of steels of rolling rolls fracture under conditions of cyclic deformation according to the scheme of four-point asymmetric bending are revealed. Although such a test scheme is designed to obtain the fracture of the II mode, in existing studies, this has not been achieved. The crack from the notch, practically, immediately went away at an angle ~45° toward the tensile zone, which indicates a mixed I+II fracture. With sufficient accuracy to predict survivability, the exponent of the Paris’s region of the fatigue crack growth diagram (FCG) can be taken as nI = 4 (I mode), nII = 3 (II mode). As a parameter of schematization, it is possible to use the value of SIF at an FCG rate of 10–7 m/cycle. Its value for steels of rolling rolls can be 60–70 MPa√m in mode I. For mode II, this index decreases by 2.5–3 times.Show more Item Explanatory Model for the Evaluation of Investment Projects(Kharkiv National University of Radioelectronics, Kharkiv, 2023) Bushuiev, K. M.; Savchuk, Larysa M.; Fonarova, Tetiana A.Show more ENG: Theoretical and practical issues of constructing an explicative model for assessing investment resources in the process of supporting investment decision-making at modern enterprises, which are based on both classical economic and expert assessment methods using a neural network as a modern technology of artificial intelligence, have been studied.Show more Item Fatigue Lifetime Model under a Complex Loading with Application of the Amalgamating Safety Indices Rule(Elsevier B.V., 2022) Belodedenko, Sergii V.; Hanush, Vasyl I.; Hrechanyi, Oleksii M.Show more ENG: The problem of multiaxial fatigue is considered from the standpoint of amalgamating indicators of system reliability. The lifetime model is derived from the rule of amalgamating resource indices of safety. The load is represented as a combination of individual subprocesses of simple types of deformation with their amplitudes and stress ratio. A model of lifetime in multiaxial fatigue has been developed, which takes into account the parameters of the deformation cycle shape, the type of process (inphase, disproportionate, constant static stress). The possibility is confirmed for obtaining the parameters of the model of multiaxial fatigue when tested for three-point bending under conditions of variation of the multiplicity of span. According to this scheme, fatigue tests were performed for prismatic steel samples 09G2 and 40Н. The fatigue resistance parameters were found for them, and also there were found the ratio of the fatigue limit for tangential stresses and the fatigue limit for normal bending stresses, which is equal to 0.385.Show more Item Forecasting the Properties of Linear Block-Copoliurethanes Based on Oligoesters of Regular Structure(Ukrainian State University of Chemical Technology, Dnipro, 2021) Anisimov, Volodymyr Mykolajovych; Anisimov, Volodymyr VolodymyrovychShow more ENG: We showed that the development of recommendations for a reasonable choice of linear block copolyurethanes that would be optimal for given operating conditions is still intuitive and does not consider the features of the molecular structure and the nature of initial components. We suggested a new scientifically grounded approach to the creation of linear block-copolyurethanes with increased wear resistance in relation to strength, deformation, thermophysical and tribotechnical characteristics. To simplify analysis of the properties of the studied materials, a mathematical model was developed, which describes the relationship between all considered properties of materials and their structure. We proposed to assess the relationship between structure and properties of the investigated materials by using quality indexes. Maximum values of quality indexes, depending on the operating conditions, correspond to different contents of hard blocks (Pc), and, consequently, to different molecular structure of the studied polyurethanes. Thus, it is reasonable to use block-copolyurethanes based on OBGA500 with a maximum content of hard blocks (Ðñ>60%) for operating conditions where it is necessary to provide high strength characteristics. Polyurethanes synthesized with the formation of clusters of hard blocks in the range of 45–55% are recommended for the use as wear-resistant materials.Show more Item Formation of an Optimal Portfolio of Venture Projects(Dnipro University of Technology, 2021) Korhina, Inna A.; Petrenko, Vitaliy O.; Khomenko, Volodymyr L.; Kulyk, Volodymyr O.Show more ENG: Purpose. Development of a method for forming an optimal portfolio of venture projects taking into account risks, uncertainty in initial data and limited financial resources. Methodology. To calculate the accuracy of forecasting prices, which are necessary for calculating the parameters of the stochastic optimization model for the formation of a portfolio of projects, we used the theory of random variables and regression analysis. The problem of choosing the optimal portfolio of venture projects was solved using stochastic mathematical programming. Findings. A model for creating an optimal portfolio of venture projects has been developed. It is a stochastic mathematical programming model that can be used to solve problems of investing in venture projects in the extractive industry. This model takes into account the risks associated with obtaining the expected income from the implementation of each venture project, the uncertainty in the initial data for calculating the income from the projects selected in the portfolio, as well as the limited funds required to finance the project portfolio. Originality. The stochastic optimization model for the formation of an optimal portfolio of projects, taking into account the peculiarities of venture projects, in particular, their high riskiness, has been significantly improved and adapted. Practical value. The proposed model for the formation of an optimal portfolio of venture projects can be used at mining enterprises, whose development strategy involves the implementation of innovative, high-risk projects. The use of this model in strategic planning will allow an enterprise to receive the maximum income from venture projects in the face of a lack of financial resources, as well as instability of the innovation market.Show more Item Forming the Investment Attractiveness of Innovative Investment Projects on the Basis of Increasing Their Commercial Potential in the Field of Engineering Services(European University Press, ISMA University of Applied Sciences, Riga, Latvia, 2023) Fonarova, Tetiana A.; Bushuiev, M.; Petrenko, Vitalii O.; Bushuiev, K. M.Show more ENG: The study deals with the formation of the investment attractiveness of innovative projects in the activities of Ukrainian enterprises with the involvement of engineering companies. The necessity of coordinating the goals of the enterprise and the motives of investors is substantiated. It is noted that the basis for cooperation and pooling of efforts can be the determination of an integral indicator of investment attractiveness – the commercial potential of an innovation-investment project. Modern approaches, the essence and components of the formation of commercial potential are considered. The role and importance of engineering companies in increasing the commercial potential of innovative and investment projects is shown on the example of the innovative technology «Simatic System Audit» of Siemens Corporation. The marketing component in increasing the commercial potential of an innovation-investment project has been studied. The role and importance of engineering companies in promoting this technology to the Ukrainian market of industrial enterprises is emphasized.Show more