Coaxial transmissions with multipair gearing

The paper shows that one of the factors having the greatest impact on the specific torque of the gearbox is the total overlap coefficient. In gears with multi-pair gearing, this coefficient can reach half of the total number of teeth of a slow-moving wheel. The types of transmissions currently manufactured are analyzed. It is shown that wave transmission with intermediate rolling elements and two deformation waves, which has not been described in the literature to date, has certain advantages. Formulas for constructing the profile of a wheel and a wave generator of a similar transmission are given. Possible ways for its optimization are indicated.
EDN: DARWFF, https://elibrary/darwff

References

[1] Zakharov M.N., Sinitsyna Yu.V. Lektsii o detalyakh mashin [Lectures on parts of machines]. Vologda, Infra-Inzheneriya Publ., 2025. 224 p. (In Russ.).

[2] Reshetov D.N. Detali mashin [Parts of machines]. Moscow, Mashinostroenie Publ., 1989. 496 p. (In Russ.).

[3] Sinitsyna Yu.V. The influence of the kinematics of the geared motor on the specific torque. Evraziyskoe Nauchnoe Obedinenie, 2017, vol. 1, no. 10, pp. 56–58. (In Russ.).

[4] Sinitsyna Yu.V., Ermolaev M.M. Calculation models to estimate cycloid reducer force distribution. Mekhaniki XXI veku [Mechanical Engineers to XXI Century], 2019, no. 18, pp. 301–304. (In Russ.).

[5] Ermolaev M.M., Chirkin A.V. Raschet planetarno-tsevochnykh reduktorov [Calculation of planetary-pinion gearboxes]. Moscow, Bauman MSTU Publ., 2020. 64 p. (In Russ.).

[6] Ivanov A.S., Ermolaev M.M., Chirkin A.V. Reliability functions for specific mechanical faults. Vestnik mashinostroeniya, 2020, no. 4, pp. 15–20. (In Russ.). (Eng. version: Russ. Engin. Res., 2020, vol. 40, no. 4, pp. 275–282, doi: https://doi.org/10.3103/S1068798X20040103)

[7] Chufistov E.A., Chufistov O.E. Forces in the engagement of planetary-pinion gear with satellite having eccentricity. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Tekhnicheskie nauki [University Proceedings. Volga Region. Technical Sciences], 2024, no. 3, pp. 128–141, doi: https://doi.org/10.21685/2072-3059-2024-3-12 (in Russ.).

[8] Yangulov V.S. Wave transfers with intermediate bodies (condition, results and problems). Izvestiya Tomskogo politekhnicheskogo universiteta [Bulletin of the Tomsk Polytechnic University], 2007, vol. 311, no. 2, pp. 14–18. (In Russ.).

[9] Belyaev A.E. Mekhanicheskie peredachi s sharikovymi promezhutochnymi telami [Mechanical transmissions with ball intermediate bodies]. Tomsk, TPU Publ., 1992. 231 p. (In Russ.).

[10] Abdulin R.R., Podshibnev V.A., Samsonovich S.L. Research of torsional stiffness of harmonic gear with intermediate rolling bodies. Fundamentalnye i prikladnye problemy tekhniki i tekhnologii [Fundamental and Applied Problems of Engineering and Technology], 2020, no. 3, pp. 95–104, doi: https://doi.org/10.33979/2073-7408-2020-341-3-95-104 (in Russ.).

[11] Abdulin R.R., Podshibnev V.A., Samsonovich S.L. Determining load distribution unevenness ratio between rows of rolling bodies in harmonic gear with intermediate rolling bodies. Fundamentalnye i prikladnye problemy tekhniki i tekhnologii [Fundamental and Applied Problems of Engineering and Technology], 2021, no. 5, pp. 58–67, doi: https://doi.org/10.33979/2073-7408-2021-349-5-58-67 (in Russ.).

[12] Efremenkov E.A., Efremenkova S.K., Pashkov E.N. Proektirovanie tsikloidalnykh mekhanicheskikh peredach s promezhutochnymi telami kacheniya i svobodnoy oboymoy [Design of cycloidal mechanical transmissions with intermediate rolling elements and a free cage]. Tomsk, Izd-vo TPU Publ., 2022. 90 p. (In Russ.).

[13] Efremenkov E.A. [Determination of efforts in transmission with intermediate rolling elements and a loose cage]. Sb. tr. VI mezhotraslevoy nauch.-tekh. konf. Avtomatizatsiya i progressivnye tekhnologii v atomnoy otrasli. T. 1 [Proc. VI Interbranch Sci.-Tech. Conf. Automation and Progressive Technologies in the Nuclear Industry. Vol. 1]. Novouralsk, NGTI, 2009, pp. 123–126. (In Russ.).

[14] Efremenkov E.A., Kobza E.E. [Analysis of efforts in the engagement of a two-pole transmission with intermediate rolling elements and a loose cage]. Teoriya i praktika zubchatykh peredach. Sb. tr. Mezhd. Simp [Theory and practice of gear transmissions. Proc. Int. Symp.]. Izhevsk, IzhGTU im. M.T. Kalashnikova, 2014, pp. 457–462. (In Russ.).

[15] Sinitsyna Yu.V. Metod opredeleniya dolgovechnosti planetarno-tsevochnykh reduktorov s uchetom tochnosti ikh izgotovleniya. Diss. kand. tekh. nauk [Method for determining the service life of planetary-pinion reducers taking into account accuracy of their manufacture. Kand. tech. sci. diss.]. Moscow, Bauman MSTU Publ., 2021. 124 p. (In Russ.).

[16] Zakharov M.N., Ermolaev M.M., Zaytseva A.V. Assessment of the load distribution between satellites of a planetary-lantern gearbox. Vestnik mashinostroeniya, 2020, no. 6, pp. 34–39. (In Russ.).

[17] Ermolaev M.M., Zaytseva A.V. Method for estimating the load factors of planetary gears. Sovremennoe mashinostroenie. Nauka i obrazovanie, 2024, no. 13, pp. 245–256. (In Russ.).