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Information × Registration Number 0220U103493, 0117U003757 , R & D reports Title Development of mathematical models, means of their implementation for processes and systems in industry, ecology and medicine popup.stage_title Head Oliinyk Andrii P., Доктор технічних наук Registration Date 12-10-2020 Organization Ivano-Frankivsk National University of Oil and Gas popup.description2 The object of research - technical and organizational systems of the oil and gas complex. Research methods - methods of mathematical modeling, whith using the theory of ordinary differential equations, equations of mathematical physics, theoretical mechanics and numerous methods for implementing models of processes occurring in the oil and gas industry and ecology. The most important scientific or scientific and technical results are obtained. - the calculated dependences which will allow estimating change of range of distribution of harmful substances depending on the speed of exhaust gases, the height of a flue, a direction and wind speed and other parameters are established; - using Lagrange's equation of the second kind, a mathematical two-dimensional model of the motion of solids and action of technological cargo in mechanical systems with a chain-branched method of mass connection is proposed, in which inertial bodies are connected by elastic elms, variable mass and variable moments of inertia of technological cargo, which, in contrast to the existing methods of models, allows to obtain analytical dependences to describe the characteristics of objects of this class; within the framework of the selected model, the equations of motion and the equations for generalized forces are derived. The mathematical model constructed can be used to describe the dynamic mode of operation of all types of vibrating units with a chain-branched method of connecting solids; - the approach to modelling of the process of a dynamic mode of work of a vibrating shock lattice is improved, which, in contrast to existing methods, allows to obtain phase portraits of process load and graphical relationships between oscillation amplitudes, vibration acceleration amplitudes and time, natural frequencies, phase portraits and vibration amplitudes and amplitudes. from the mechanical parameters of the vibrating grid, as well as to investigate the mechanical stability of the studied system using Product Description popup.authors Bachuk Vasyl V Vavryk Tetiana O. Hryhorchuk Halyna V Krykhivskyi Mykhailo V Malko Oleksandr H. Mykhailiuk Iryna R Nisonskyi Volodymyr P Nezamai Borys S Protsiuk Vasyl R Protsiuk Halyna Ya Semenchuk Andrii V Tsareva Oleksandra S Chumachenko Yaroslav V popup.nrat_date 2021-03-17 Close
R & D report
Head: Oliinyk Andrii P.. Development of mathematical models, means of their implementation for processes and systems in industry, ecology and medicine. (popup.stage: ). Ivano-Frankivsk National University of Oil and Gas. № 0220U103493
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Updated: 2026-03-23