Analysis of the influence of the displacement of the gear rack profile of the pair evolution gearing on the quality indicators of the transmission

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dc.citation.epage74
dc.citation.issue2
dc.citation.journalTitleУкраїнський журнал із машинобудування і матеріалознавства
dc.citation.spage66
dc.citation.volume9
dc.contributor.affiliationSlovak University of Technology in Bratislava
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.affiliationNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
dc.contributor.authorProtasov, Roman
dc.contributor.authorMagdolen, Ľuboš
dc.contributor.authorDanko, Jan
dc.contributor.authorLanets, Olena
dc.contributor.authorVorontsov, Borys
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2024-02-07T08:51:00Z
dc.date.available2024-02-07T08:51:00Z
dc.date.created2023-02-28
dc.date.issued2023-02-28
dc.description.abstractThe article is devoted to the study of the influence of the modification of the paired evolute gearing with convex-concave contact on the quality indicators of transmission, namely, the contact pressure and the speed of slippage in the engagement. Previous studies of evolute gears showed the presence of characteristic zones on the side surface of the tooth, which have worse values of quality indicators than in similar involute gear. One of the ways to remove these zones or to reduce their impact on the load capacity of the transmission is to modify the tooth profile, which will be implemented by shifting the profile of the processing gear rack. A displacement factor is added to the equation of the rail profile curve, which has the same value for the gear and wheel teeth, but the opposite sign. On the basis of the developed equation, the side profiles of the teeth of the gear and the wheel were constructed. Several values of the rack displacement coefficient with a positive and negative sign for the gear teeth are considered. The results of the research allow us to evaluate the influence of the amount and direction of the rail displacement on the curvature of the tooth profiles, the contact pressure in engagement along the height of the tooth, and the relative and absolute speed of sliding. Themodifications of the profile of the processing toothed rack proposed in thisworkwill expand the existence of paired evolute gears with a different set of quality indicators. This will make it possible to design gears with rational values of contact pressures and slip speeds when they are used in heavily loaded transmissions created for specific operating conditions. Gears with relatively high slip speeds can be used in road and construction equipment transmissions, which are characterized by lowshaft rotation frequency, in which the speed of slip between the teeth does not have a significant effect on the life or efficiency of the transmission. Otherwise, gears with relatively low slip speeds are very relevant when they are implemented in the transmission of modern and promising vehicles with a hybrid or fully electric power unit, especially in the case of passenger cars with high-speed electric motors.
dc.format.extent66-74
dc.format.pages9
dc.identifier.citationAnalysis of the influence of the displacement of the gear rack profile of the pair evolution gearing on the quality indicators of the transmission / Roman Protasov, Ľuboš Magdolen, Jan Danko, Olena Lanets, Borys Vorontsov // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 9. — No 2. — P. 66–74.
dc.identifier.citationenAnalysis of the influence of the displacement of the gear rack profile of the pair evolution gearing on the quality indicators of the transmission / Roman Protasov, Ľuboš Magdolen, Jan Danko, Olena Lanets, Borys Vorontsov // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 9. — No 2. — P. 66–74.
dc.identifier.doidoi.org/10.23939/ujmems2023.02.066
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/61147
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofУкраїнський журнал із машинобудування і матеріалознавства, 2 (9), 2023
dc.relation.ispartofUkrainian Journal of Mechanical Engineering and Materials Science, 2 (9), 2023
dc.relation.references[1] S. Radzevich, Theory of gearing: kinematics, geometry, and synthesis. Boca Raton: CRC Press, 2018.
dc.relation.references[2] P Lynwander and L. Faulkner, Gear Drive Systems: Design and Application (Mechanical Engineering), Boca Raton: CRC Press; 1st edition, 1983.
dc.relation.references[3] DarleW. Dudley, Handbook of Practical Gear Design Revised, Subsequent Edition, London: McGraw-Hill; 1984.
dc.relation.references[4] P. S. Radzevich, High-Conformal gearing. Kinematics and Geometry, Boca Raton: CRC Press, 2016.
dc.relation.references[5] M. Vereš, M. Bošanský, J. Gaduš, Theory of Convex-Concave and plane cylindrical gearing, Bratislava: STU, 2006.
dc.relation.references[6] M. Bozca, “Investigation of the effective parameters of scuffing failure in gears”, Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 6, No. 1, pp. 1–7, 2020.
dc.relation.references[7] V. Gurey, V. Korendiy, I. Kuzio, “Simulation modelling of dynamic processes due discontinuous frictional treatment of the flat surfaces”, Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 6, No. 2, pp. 23–33, 2020.
dc.relation.references[8] V. Protsenko, V.Malashchenko, S. Kłysz, O. Avramenko, “Safety-overrunning ball-type clutch parts contact interaction features”, Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 8, No. 1, pp. 38–43, 2022.
dc.relation.references[9] B. Vorontsov, M. Bosansky, I. Kyrychenko, N. Kuzmenko, V. Stupnytskyy, Y. Kuleshkov, A. Ustinenko, “Methods of designing gear’s machining tools with the hyperboloid cutting part”, Journal of Mechanical Engineering – Strojnicky casopis, vol. 70, No. 1, pp. 135–142, 2020.
dc.relation.references[10] M. Hasanov, A. Klochko, V. Horoshaylo, B. Vorontsov, A. Ryazantsev, “Duplex Scheme of the Technological Impact of the Provision of Operational Properties of a Hardened Large Module Gears”, International Journal of Integrated Engineering, vol. 14, No. 6, pp. 55–62, 2022.
dc.relation.references[11] S. P. Radzevich, Gear Cutting Tools. Fundamentals of Design and Computation. Boca Raton: CRC Press by Taylor and Francis Group, LLC, 2010.
dc.relation.references[12] P. Švec, M. Bošanský, E. Gondár, F. Toth, R. Protasov, “Wear of AlCrN and CrAlSiN Coatings Applied to Nonstandard Involute Gears”, Lubricants, vol. 9, No. 54, 2021.
dc.relation.references[13] P. Švec, L. Magdolen, R. Protasov, M. Bošanský, E. Gondár, “Wear of TiAlCN Coating on HCR Gear”, Lubricants, vol. 10, No. 12, 2022.
dc.relation.references[14] S. Radzevich, “Principal accomplishments in the scientific theory of gearing” in MATEC Web of Conferences, Detroit, 010001, 2019.
dc.relation.references[15] E. Osakue and L. Anetor, “A Method for Constructing Standard Involute Gear Tooth Profile”, Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition, vol. 13: Design, Reliability, Safety, and Risk, Pittsburgh, 2018.
dc.relation.referencesen[1] S. Radzevich, Theory of gearing: kinematics, geometry, and synthesis. Boca Raton: CRC Press, 2018.
dc.relation.referencesen[2] P Lynwander and L. Faulkner, Gear Drive Systems: Design and Application (Mechanical Engineering), Boca Raton: CRC Press; 1st edition, 1983.
dc.relation.referencesen[3] DarleW. Dudley, Handbook of Practical Gear Design Revised, Subsequent Edition, London: McGraw-Hill; 1984.
dc.relation.referencesen[4] P. S. Radzevich, High-Conformal gearing. Kinematics and Geometry, Boca Raton: CRC Press, 2016.
dc.relation.referencesen[5] M. Vereš, M. Bošanský, J. Gaduš, Theory of Convex-Concave and plane cylindrical gearing, Bratislava: STU, 2006.
dc.relation.referencesen[6] M. Bozca, "Investigation of the effective parameters of scuffing failure in gears", Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 6, No. 1, pp. 1–7, 2020.
dc.relation.referencesen[7] V. Gurey, V. Korendiy, I. Kuzio, "Simulation modelling of dynamic processes due discontinuous frictional treatment of the flat surfaces", Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 6, No. 2, pp. 23–33, 2020.
dc.relation.referencesen[8] V. Protsenko, V.Malashchenko, S. Kłysz, O. Avramenko, "Safety-overrunning ball-type clutch parts contact interaction features", Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 8, No. 1, pp. 38–43, 2022.
dc.relation.referencesen[9] B. Vorontsov, M. Bosansky, I. Kyrychenko, N. Kuzmenko, V. Stupnytskyy, Y. Kuleshkov, A. Ustinenko, "Methods of designing gear’s machining tools with the hyperboloid cutting part", Journal of Mechanical Engineering – Strojnicky casopis, vol. 70, No. 1, pp. 135–142, 2020.
dc.relation.referencesen[10] M. Hasanov, A. Klochko, V. Horoshaylo, B. Vorontsov, A. Ryazantsev, "Duplex Scheme of the Technological Impact of the Provision of Operational Properties of a Hardened Large Module Gears", International Journal of Integrated Engineering, vol. 14, No. 6, pp. 55–62, 2022.
dc.relation.referencesen[11] S. P. Radzevich, Gear Cutting Tools. Fundamentals of Design and Computation. Boca Raton: CRC Press by Taylor and Francis Group, LLC, 2010.
dc.relation.referencesen[12] P. Švec, M. Bošanský, E. Gondár, F. Toth, R. Protasov, "Wear of AlCrN and CrAlSiN Coatings Applied to Nonstandard Involute Gears", Lubricants, vol. 9, No. 54, 2021.
dc.relation.referencesen[13] P. Švec, L. Magdolen, R. Protasov, M. Bošanský, E. Gondár, "Wear of TiAlCN Coating on HCR Gear", Lubricants, vol. 10, No. 12, 2022.
dc.relation.referencesen[14] S. Radzevich, "Principal accomplishments in the scientific theory of gearing" in MATEC Web of Conferences, Detroit, 010001, 2019.
dc.relation.referencesen[15] E. Osakue and L. Anetor, "A Method for Constructing Standard Involute Gear Tooth Profile", Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition, vol. 13: Design, Reliability, Safety, and Risk, Pittsburgh, 2018.
dc.rights.holder© Національний університет “Львівська політехніка”, 2023
dc.rights.holder© Protasov R., Magdolen Ľ., Danko J., Lanets O., Vorontsov B. 2023
dc.subjectgearing
dc.subjectrack displacement
dc.subjectconvex-concave contact
dc.subjectpaired evolute gearing
dc.subjectprofile curvature
dc.subjectcontact pressure
dc.titleAnalysis of the influence of the displacement of the gear rack profile of the pair evolution gearing on the quality indicators of the transmission
dc.typeArticle

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Ukrainian Journal of Mechanical Engineering and Materials Science. – 2023. – Vol. 9, No. 2