National University of Life and Environmental Sciences of Ukraine
03041, 15 Heroyiv Oborony Str., Kyiv, Ukraine
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MOVEMENT OF PARTICLE ON INNER SURFACE WITH PRESET MERIDIAN, WHICH ROTATES AROUND VERTICAL AXISTatiana Volina, Serhii Pylypaka, Vitalii Babka Keywords: surface of rotation, angular velocity of rotation, relative movement, particle, differential equations, sliding trajectory
Volina, T., Pylypaka, S., & Babka, V.
(2021).
MOVEMENT OF PARTICLE ON INNER SURFACE WITH PRESET MERIDIAN, WHICH ROTATES AROUND VERTICAL AXIS.
Machinery & Energetics,
12(4),
15-20.
http://dx.doi.org/10.31548/machenergy2021.04
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CONSTRUCTION OF MERIDIAN FOR GIVEN MOVEMENT OF PARTICLE ON SURFACE WHICH ROTATES AROUND THE VERTICAL AXISTatiana Volina, Serhii Pylypaka, Vitalii Babka, Andrii Nesvidomin Keywords: surface of rotation, meridian, angular velocity, particle, sliding, trajectory, differential equations
Volina, T., Pylypaka, S., Babka, V., & Nesvidomin, A.
(2021).
CONSTRUCTION OF MERIDIAN FOR GIVEN MOVEMENT OF PARTICLE ON SURFACE WHICH ROTATES AROUND THE VERTICAL AXIS.
Machinery & Energetics,
12(3),
33-38.
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INVESTIGATION OF PARTICLE MOVEMENT ON ROTARY SPHERICAL SEGMENTTatiana Volina, Serhii Pylypaka Keywords: spherical segment, angular velocity of rotation, relative movement, particle, differential equations, kinematic parameters
Volina, T., & Pylypaka, S.
(2021).
INVESTIGATION OF PARTICLE MOVEMENT ON ROTARY SPHERICAL SEGMENT.
Machinery & Energetics,
12(2),
33-38.
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FORCE REQUIRED TO MOVE THE FLEXIBLE STRIP UP SURFACE OF HORIZONTAL CYLINDERTatiana Volina, Serhii Pylypaka Keywords: flexible strip, rough surface, horizontal cylinder, pushing force, movement speed, differential equation
Volina, T., & Pylypaka, S.
(2021).
FORCE REQUIRED TO MOVE THE FLEXIBLE STRIP UP SURFACE OF HORIZONTAL CYLINDER.
Machinery & Energetics,
12(1),
25-29.
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INTERNAL ROLLING OF NON-CIRCULAR CENTROIDS FORMED FROM THE ARCS OF LOGARITHMIC SPIRALТetiana Kresan, Serhii Pylypaka Keywords: logarithmic spiral, centroids, internal rolling, arc length, center-to-center distance
Kresan, Т., & Pylypaka, S.
(2021).
INTERNAL ROLLING OF NON-CIRCULAR CENTROIDS FORMED FROM THE ARCS OF LOGARITHMIC SPIRAL.
Machinery & Energetics,
12(1),
109-119.
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SIMULATION OF CENTROIDS OF NON-CIRCULAR WHEELS WITH INTERNAL AND EXTERNAL ROLLING FROM ARCS OF SYMMETRICAL CURVESТetiana Kresan, Serhii Pylypaka, Iryna Hryshchenko, Ya. S. Kremets Keywords: centroids, non-circular wheels, internal and external rolling, center-to-center distance, parametric equations of curves
Kresan, Т., Pylypaka, S., Hryshchenko, I., & Ya. S. Kremets
(2020).
SIMULATION OF CENTROIDS OF NON-CIRCULAR WHEELS WITH INTERNAL AND EXTERNAL ROLLING FROM ARCS OF SYMMETRICAL CURVES.
Machinery & Energetics,
11(4),
23-32.
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RESEARCH OF PARTICLE MOVEMENT ON CYLINDER OUTER SURFACE DURING ITS PROGRESSIVE OSCILLATIONS IN HORIZONTAL PLANESTatiana Volina, Serhii Pylypaka Keywords: relative motion, inclined cylinder, outer surface, particle, differential equations, kinematic parameters
Volina, T., & Pylypaka, S.
(2020).
RESEARCH OF PARTICLE MOVEMENT ON CYLINDER OUTER SURFACE DURING ITS PROGRESSIVE OSCILLATIONS IN HORIZONTAL PLANES.
Machinery & Energetics,
11(4),
101-105.
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MOVING AND FIXED AXOIDS OF FRENET THRIHEDRAL OF DIRECTING CURVEТetiana Kresan, Serhii Pylypaka, Vitalii Babka, Ya. S. Kremets Keywords: moving and fixed axoids, kinematic screw, Frenet trihedral, cylindrical line, curvature, torsion
Kresan, Т., Pylypaka, S., Babka, V., & Ya. S. Kremets
(2020).
MOVING AND FIXED AXOIDS OF FRENET THRIHEDRAL OF DIRECTING CURVE.
Machinery & Energetics,
11(3),
41-48.
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ROLLING OF A DEVELOPABLE HELICOID ALONG ITS BENDINGТetiana Kresan, Serhii Pylypaka, Iryna Hryshchenko, Ya. S. Kremets Keywords: developable helicoid, bending, rolling of surfaces, edge of regression, rotation, parallel transfer
Kresan, Т., Pylypaka, S., Hryshchenko, I., & Ya. S. Kremets
(2020).
ROLLING OF A DEVELOPABLE HELICOID ALONG ITS BENDING.
Machinery & Energetics,
11(1),
13-20.
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CONTINUOUS BENDING OF MINIMAL SURFACES, FORMED BY MEANS OF PLANE CURVES OF COMPLEX CURVATURESerhii Pylypaka, M. M. Mukvich Keywords: оne-parameter set of associated minimal surfaces, isotropic line, logarithmic spiral, evolvent of the circle, function of a complex variable, сomplex curvature, mean curvature of a surface
Pylypaka, S., & M. M. Mukvich
(2020).
CONTINUOUS BENDING OF MINIMAL SURFACES, FORMED BY MEANS OF PLANE CURVES OF COMPLEX CURVATURE.
Machinery & Energetics,
11(1),
51-59.
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TRANSPORTATION OF PARTICLE WITH HORIZONTAL AUGER, LIMITED COAXIAL FIXED CYLINDERТetiana Kresan, Serhii Pylypaka, Vitalii Babka, Ya. S. Kremets , Mykola Klendii Keywords: particle, relative motion, horizontal screw, angular velocity of rotation, cylindrical casing, differential equations, kinematic parameters
Kresan, Т., Pylypaka, S., Babka, V., Ya. S. Kremets, & Klendii, M.
(2019).
TRANSPORTATION OF PARTICLE WITH HORIZONTAL AUGER, LIMITED COAXIAL FIXED CYLINDER.
Machinery & Energetics,
10(3),
15-20.
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ROLLING OF POLIGON ON CURVINAL PROFILEТetiana Kresan, Serhii Pylypaka, Vitalii Babka, Ya. S. Kremets Keywords: equilateral polygon, curved profile, rolling, chain lin
Kresan, Т., Pylypaka, S., Babka, V., & Ya. S. Kremets
(2019).
ROLLING OF POLIGON ON CURVINAL PROFILE.
Machinery & Energetics,
10(2),
147-154.
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MATHEMATICAL MODEL OF MOVING PARTICLE BY VERTICAL SCREW IN STATIONARY MODESerhii Pylypaka, Vitalii Babka, Iryna Hryshchenko, Тetiana Kresan Keywords: relative motion, vertical auger, particle, angular velocity of rotation, cylindrical shell, differential equations, kinematic parameters
Pylypaka, S., Babka, V., Hryshchenko, I., & Kresan, Т.
(2018).
MATHEMATICAL MODEL OF MOVING PARTICLE BY VERTICAL SCREW IN STATIONARY MODE.
Machinery & Energetics,
9(4),
31-36.
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Study of the movement of soil particles on the surface of a screw tillage working bodySerhii Pylypaka, Mykola Klendii, Тetiana Kresan Keywords: deployed helicoid, surface treatment, rectilinear formation, differential equations of motion, angular velocity, angle of attack, coefficient of friction, scattering area
Pylypaka, S., Klendii, M., & Kresan, Т.
(2022).
Study of the movement of soil particles on the surface of a screw tillage working body.
Machinery & Energetics,
13(2),
62-72.
https://doi.org/10.31548/machenergy.13(2).2022.62-72
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DEFINITION OF PARAMETRIC EQUATIONS OF ISOTROPIC LINES BY HYPERBOLIC FUNCTIONS AND CONSTRUCTION OF MINIMAL SURFACESSerhii Pylypaka, M. M. Mukvich Keywords: isotropic line, minimal surface, associated minimal surface, hyperbolic functions, quadratic form of a surface, function of a complex variable
Pylypaka, S., & M. M. Mukvich
(2018).
DEFINITION OF PARAMETRIC EQUATIONS OF ISOTROPIC LINES BY HYPERBOLIC FUNCTIONS AND CONSTRUCTION OF MINIMAL SURFACES.
Machinery & Energetics,
(283),
141-148.
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Transportation of a material particle by the operating mechanism of an agricultural machine in the form of a vertical screw confined by a coaxial stationary cylinderSerhii Pylypaka, Mykola Klendii Keywords: conveyor, helical surface, angular and linear velocities, limiting casing, differential equations of motion, kinematic parameters
Pylypaka, S., & Klendii, M.
(2022).
Transportation of a material particle by the operating mechanism of an agricultural machine in the form of a vertical screw confined by a coaxial stationary cylinder.
Machinery & Energetics,
13(3),
73-80.
https://doi.org/10.31548/machenergy.13(3).2022.73-80
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Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torsoSerhii Pylypaka, Тetiana Kresan, Vyacheslav Hropost, Vitalii Babka, Iryna Hryshchenko Keywords: surface area, conveyor screw, continuous divination, parametric equation, traction, torsional twisting
Pylypaka, S., Kresan, Т., Hropost, V., Babka, V., & Hryshchenko, I.
(2022).
Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torso.
Machinery & Energetics,
13(4),
81-88.
https://doi.org/10.31548/machenergy.13(4).2022.81-88
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Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to itSerhii Pylypaka, Tatiana Volina, Vyacheslav Hropost, Olena Kozlova, Oleksandr Tatsenko Keywords: curvature, elastic axis, applied force, moment
Pylypaka, S., Volina, T., Hropost, V., Kozlova, O., & Tatsenko, O.
(2024).
Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to it.
Machinery & Energetics,
15(1),
23-32.
https://doi.org/10.31548/machinery/1.2024.23
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Construction of the working surfaces of the tillage screw body from the compartments of the developable helicoidТetiana Kresan, Ali Kadhim Ahmed, Serhii Pylypaka, Tatiana Volina, Taras Voloshko Keywords: attack angle, sharpening angle, surface step, screw parameter, ridges, soil profile
Kresan, Т., Ahmed, A.K. , Pylypaka, S., Volina, T., & Voloshko, T.
(2024).
Construction of the working surfaces of the tillage screw body from the compartments of the developable helicoid.
Machinery & Energetics,
15(3),
9-21.
https://doi.org/10.31548/machinery/3.2024.09
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Optimisation of a developable surface model passing through a helical curve with variable pitchAndrii Nesvidomin, Serhii Pylypaka, Tatiana Volina, Yurii Shtyka, Irina Rybenko Keywords: rectilinear constituent parts, guide cosines, slope surface, envelope curve, screw
Nesvidomin, A., Pylypaka, S., Volina, T., Shtyka, Yu., & Rybenko, I.
(2025).
Optimisation of a developable surface model passing through a helical curve with variable pitch.
Machinery & Energetics,
16(2),
49-57.
https://doi.org/10.31548/machinery/2.2025.49
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Forming helical blades from flat blanks with minimal deformationAndrii Nesvidomin, Serhii Pylypaka, Tatiana Volina, Mykola Lokhonia, Yana Borodai Keywords: Frenet formulas, curvature, torsion, vector equation of a surface, first quadratic form
Nesvidomin, A., Pylypaka, S., Volina, T., Lokhonia, M., & Borodai, Ya.
(2025).
Forming helical blades from flat blanks with minimal deformation.
Machinery & Energetics,
16(3),
9-19.
https://doi.org/10.31548/machinery/3.2025.09
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