Abstract
The express method of synthesis of a loaded multipair contact in a gear is considered, based on the application of models of a conjugated gearing and modified tooth surfaces, including their differential characteristics, as well as on the application of simplified models for estimating tooth contact and bending deformations. The method contains points of entering into and exit from the meshing, positions of which are assigned relative to edges of teeth (usually end faces). Modification values at these points are the values of the necessary elastic movement at other contact points at the same phase. An iterative algorithm is proposed for finding the optimal solution for a given loading torque or contact stress, which has four levels of iterations with specification of the position and size of the contact pattern in directions along and across the tooth and the level of the acting load. The effectiveness of the algorithm is shown on the example of calculating a spiroid gear with the contact ratio 3.
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References
Litvin, F.L.: Theory of Gears, 2nd edn., revised and supplemented. Moscow, Nauka, Main Editorial Office for Physical and Mathematical Literature (1968)
Sheveleva, G.I.: Theory of Generation and Contact of Moving Bodies. Stankin, Moscow (1999)
Lopato, G.A., Kabatov, N.F., Segal, M.G.: Bevel and Hypoid Gears with Circular Teeth. Reference manual. Revised edition 2, revised and supplemented. Moscow, Mashinostroenie (1977)
Guliaev, K.I.: Synthesis of Approximate Meshing by the Points of Recoupling. Gears and Worm Gears. Mashinostroenie, Leningrad (1974)
Cherny, B.A.: Optimal Synthesis of Approximate Gearing of Conical Wheels. PhD in Engineering Thesis (1974)
Trubachev, E.S.: Synthesis of the Loaded Contact in Spiroid Gears. Vestnik IzhGTU imeni M. T. Kalashnikova. №1, Izhevsk, pp. 171–175 (2007)
Trubachev, E.S.: Synthesis of the multi-pair loaded spiroid gear. Theory and Practice of Gears. International Symposium, Izhevsk, pp. 359–366 (2014)
Segal, M. G.: Cyclic errors and contact patterns of hypoid gears with high contact ratios. In: Research in the Field of Machines and Tools. Scientific works, vol. 71, pp. 34–39. Saratov, SPI (1974)
Litvin, F.L., Fuentes, A., Hayasaka, K.: Design, manufacture, stress analysis, and experimental tests of low-noise high endurance spiral bevel gears. Mech. Mach. Theory 41(1), 83–118 (2006)
Gonzalez-Perez, I., Fuentes-Aznar, A.: An exact system of generation for face-hobbed hypoid gears: Application to high reduction hypoid gear drives. Mech. Mach. Theo. 179 (2023). https://doi.org/10.1016/j.mechmachtheory.2022.105115
Goldfarb, V.I., Trubachev, E.S., Bogdanov, K.V., Pushkareva, T.A.: Prospects of manufacturing spiroid gears with small gear ratios. J. Forsch Ingenieurwes 83(3), 781–791 (2019). https://doi.org/10.1007/s10010-019-00343-8
Airapetov, E.L.: State and prospects for the development of methods of calculating the load state and strength of meshing gears. Izhevsk-Moscow, IzhGTU (2000)
Kuznetsov, A.S.: Modeling of deformation mode of spiroid gearbox. In: Gearing and Transmissions: Scientific Journal of IFToMM Technical Committee, vol. 2, pp. 34–44 (2004)
Trubachev, E.S., Bogdanov, K.V., Pushkareva, T.A.: Advanced method of cutting spiroid, worm and bevel gearwheel teeth by running-in cutter heads. J. Forsch Ingenieurwes 86, 709–719 (2022). https://doi.org/10.1007/s10010-021-00536-0
Goldfarb, V.I., Trubachev, E.S.: Manufacturing synthesis of spiroid gearing. In: Proceedings The Eleventh World Congress in Mechanisms and Machine Science, Tianjin, China, China Mach Press, vol. 2, pp. 901–905 (2004)
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Trubachev, E.S. (2024). Synthesis of Contact in Loaded Multi-pair Gears with a Big Contact Ratio. In: Okada, M. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2023. Mechanisms and Machine Science, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-45709-8_8
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