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Theoretical Foundations of Adapted Gear Trains during Operation under Skewed Conditions

  • RELIABILITY, STRENGTH, AND WEAR RESISTANCE OF MACHINES AND STRUCTURES
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Abstract

This article discusses the so-called gear train with adapted properties. Such gear trains are used to increase the load capacity of gear coupling by decreasing the maximum contact stresses by means of an increase in teeth contact compliance operating under skewed conditions. An approach has been proposed, including an analytical solution to the problem on its basis, and the equations for determination of the maximum contact stresses of gear teeth with annular grooves have been obtained. The decrease in the contact stresses of teeth with adapted properties upon skewing has been estimated and compared with those of regular teeth.

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REFERENCES

  1. Popov, A.P. and Kairov, A.S., Contact strength of involute gearing with consideration of skewing of gears, Progresivni Tekhnologiï Sistemi Mashinobuduvannya, 2007, no. 2, pp. 183–188.

  2. Sobiepański, M. and Nieszporek, T., Spur gears with longitudinal tooth profile modification mesh creating which is suitable for stress analysis, Tech. Gaz., 2017, vol. 24, no. 6, pp. 1657–1660. https://doi.org/10.17559/TV-20150919105345

    Article  Google Scholar 

  3. Wei, Y.G. and Tang, W.C., The edge effect and longitudinal modification of involute gear drive used in automobile, Appl. Mech. Mater., 2013, vol. 367, pp. 136–140. doi 10.4028/www.scientific.net/AMM.367.136

  4. Korotkin, V.I. and Gazzaev, D.A., Axial error of gears and the tooth stress state in involute gear systems, Russ. Eng. Res., 2011, vol. 31, no. 9, pp. 834–837. https://doi.org/10.3103/S1068798X11090140

    Article  Google Scholar 

  5. Gorlenko, O.A. and Makarov, G.N., Computational procedure of wear resistance of gear transmission teeth under skew of the axes of conjugated wheels, J. Frict. Wear, 2019, vol. 40, no. 5, pp. 437–440. https://doi.org/10.3103/S1068366619050040

    Article  Google Scholar 

  6. Xiaochun, Sh., Riming, Zh., and Weidong, H., Research on gear tooth longitudinal modification of locomotive traction gear with shaft structure, Periodica Polytechnica Transp. Eng., 2018, vol. 46, no. 4, pp. 222–231. https://doi.org/10.3311/PPtr.10806

    Article  Google Scholar 

  7. Antonyuk, V.E., Pavlovskii, V.Ya., Poddubko, S.N., Aleksandrova, V.S., and Nikolaenkova, I.N., Longitudinal updating of cogwheels of planetary transfers of mobile cars, Mekh. Mash., Mekh. Mater., 2011, no. 4, pp. 37–41.

  8. Artamonov, V.D. and Popkov, A.A., The method of determining the longitudinal modification of the teeth of cylindrical wheels with the cutting units subarashii deltoid heads, Izv. Tul. Gos. Univ. Tekh. Nauki, 2017, no. 8-2, pp. 153–158.

  9. Timofeev, N.A., Selection of optimal parameters of axial modification of teeth of spur gears, Avtomatizirovannoe Proektirovanie Mashinostr., 2022, no. 13, p. 88.

  10. Grubka, R.M., Mikhailov, A.N., and Petryaeva, I.A., Classification of longitudinal modification types of cylindrical gears teeth, depending on the functional purpose, Mekh. XXI Veku, 2019, no. 18, pp. 187–190.

  11. Antonyuk, V.E., Poddubko, S.N., Skorokhodov, A.S., and Aleksandrova, V.S., Longitudinal modification of gears, Aktual. Vopr. Mashinovedeniya, 2016, no. 5, pp. 241–245.

  12. Romanov, V.V., Spitsyn, V.E., Deinekin, A.S., and Mironenko, A.I., Gearing of reducers with profile-axial modification of teeth, Vost.-Evr. Zh. Peredovykh Tekhnol., 2009, vol. 4, no. 6, pp. 39–44.

    Google Scholar 

  13. Popov, A.P., Mironenko, A.I., and Savenkov, O.I., Contact stiffness of gearings taking into account the effect of teeth skewing, Vestn. Nats. Tekh. Univ. Khar’kovskii Politekh. Inst. Ser.: Probl. Mekhanicheskogo Privoda, 2016, no. 23, pp. 121–125.

  14. Antonyuk, V.E., Mariev, P.L., and Pavlovskii, V.Ya., Osobennosti konstruirovaniya i izgotovleniya planetarnykh peredach kolesnykh reduktorov otechestvennykh mobil’nykh mashin, Mekhanika Mashin, Mekhanizmov Materialov, 2010, no. 4.

  15. Korotkin, V.I., Increasing the useful life and load-bearing capacity of the drives of oil pumping units, Chem. Pet. Eng., 2018, vol. 54, pp. 165–171. https://doi.org/10.1007/s10556-018-0457-4

    Article  Google Scholar 

  16. Makarov, G.N., Grib, V.V., and Shalygin, M.G., Increasing load-carrying ability of gear couplings, Diagn., Resour. Mech. Mater. Struct., no. 2, pp. 19–25. https://doi.org/10.17804/2410-9908.2020.2.019-025

  17. Gorlenko, O.A. and Makarov, G.N., Design of spur cylindrical gears under condition of minimization of contact stresses, Izv. Volgogr. Gos. Tekh. Univ., 2017, no. 9, pp. 12–14.

  18. Gorlenko, O.A., Shalygin, M.G., and Makarov, G.N., Removing contact of edge of teeth of planetary transmissions, Stroitel’nye Dorozhnye Mash., 2017, no. 8, pp. 38–42.

  19. Borodin, A.V., Taruta, D.V., and Vel’godskaya, T.V., Increase bearing ability of tooth gearing of a traction reducer of the locomotive, Izv. Transsiba, 2010, no. 3, pp. 7–11.

  20. Gorlenko, O.A., Makarov, G.N., and Shnyrikov, I.O., Increase of contact endurance of spur gears, Trenie Smazka Mash. Mekh., 2014, no. 6, pp. 25–27.

  21. Borodin, A.V., Vel’godskaya, T.V., and Ryazantseva, I.L., Effect of ring notches on the compliance of gears, Tekh. Mashinostr., 2001, no. 2, pp. 78–82.

  22. Malinkovich, M.D., Studying the gearing process of cylindrical gear drives, Vestn. Bryanskogo Gos. Tekh. Univ., 2008, no. 3, pp. 32–37.

  23. Airapetov, E.L., Genkin, M.D., and Ryasnov, Yu.A., Statika zubchatykh peredach (Statics of Gearing), Moscow: Nauka, 1983.

  24. Nakhatakyan, F.G., Stress-strain state of elastic elements of gearing mechanisms and structures at their linear edge contact, Doctoral (Eng.) Dissertation, Moscow: Mechanical Engineering Res. Inst. of the Russ. Acad. Sci., 2014.

  25. Airapetov, E.L. and Nakhatakyan, F.G., Effect of the bending deformation of teeth of spur cylindrical drives on the parameters of teeth contact, Vestn. Mashinostr., 1990, no. 8, p. 21.

  26. Airapetov, E.L., Sostoyanie i perspektivy razvitiya metodov rascheta nagruzhennosti i prochnosti peredach zatsepleniem (State-of-the-Art and Prospects of Development of the Methods for Loading and Strength Analysis of Gearing Drives), Izhevsk: Izhevsk. Gos. Tekh. Univ., 2000.

  27. Nakhatakyan, F.G., Contact stress and strain of cylinders in skewing, Russ. Eng. Res., 2011, vol. 31, no. 10, pp. 960–962. https://doi.org/10.3103/S1068798X11100182

    Article  Google Scholar 

  28. Makarov, G.N., Increase of reliability of gear transmissions of agricultural machinery, Aekonomika: Ekon. Sel’skoe Khozyaistvo, 2017, no. 7, p. 8.

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Authors and Affiliations

  1. Mechanical Engineering Research Institute of the Russian Academy of Sciences, 101900, Moscow, Russia

    F. G. Nakhatakyan, A. K. Puzakina & D. F. Nakhatakyan

  2. Bauman State Technical University, 105005, Moscow, Russia

    D. S. Blinov & Ya. P. Zenkina

Authors
  1. F. G. Nakhatakyan
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  2. A. K. Puzakina
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  3. D. F. Nakhatakyan
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  4. D. S. Blinov
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  5. Ya. P. Zenkina
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Correspondence to F. G. Nakhatakyan.

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Translated by I. Moshkin

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Nakhatakyan, F.G., Puzakina, A.K., Nakhatakyan, D.F. et al. Theoretical Foundations of Adapted Gear Trains during Operation under Skewed Conditions. J. Mach. Manuf. Reliab. 52, 214–219 (2023). https://doi.org/10.3103/S1052618823030123

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  • DOI: https://doi.org/10.3103/S1052618823030123

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