The technique for calculating the strength of a globoid worm gear

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Abstract

Worm gears are widely used in mechanical engineering. Recently, worm gears with a globoid worm attract a considerable interest. To improve the quality characteristics of globoid gears, their geometric dimensions and parameters, as well as the production technologies are being improved. It is also important to have a methodology for calculating the strength, which is, however, currently unavailable, and the state standards cover the issue of determining and calculating only the transmission geometry. In this regard, the development of the technique for calculating the contact and bending strength of a globoid worm gear appears relevant. The basic areas of the research are gear enhancement, production technology improvement, the gearing pattern study, working surfaces mathematical simulation, 3-D modeling, and the transmission calculation. The contact strength calculation is based on the Hertz’s formula taking into account the geometric features of globoid worm gears. The authors developed the calculation of the bending strength of the worm gear teeth based on the helical gear calculation method. The paper presents data on the influence of the mechanical properties of the materials of a worm and a worm gear wheel on the gear contact strength, gives the computed coefficients estimated values. The authors note that the dynamic load factor can increase significantly with the wear of the gear working surfaces. The research findings can be used to develop the design calculation technique, as well as to improve it to take into account the effect of transmission wear and working temperature on the operation duration.

About the authors

Aleksey V. Suslin

Samara University, Samara

Email: suslin1217@yandex.ru
ORCID iD: 0000-0002-7746-7640

PhD (Engineering), Associate Professor, assistant professor of Chair of Machine Design Principles

Russian Federation

Ildar S. Barmanov

Samara University, Samara

Author for correspondence.
Email: isbarmanov@mail.ru
ORCID iD: 0000-0002-6373-0815

PhD (Engineering), assistant professor of Chair of Machine Design Principles

Russian Federation

References

  1. Vinogradov A.B. Globoidnaya peredacha s povyshennoy nagruzochnoy sposobnostyu [Globoid gear with the enhanced loading capacity]. Novosibirsk, Sibirskiy gosudarstvennyy universitet putey soobshcheniya Publ., 2004. 263 p.
  2. Vinogradov A.B. Technological design of globoid gear with high-loading capacity. Vestnik razvitiya nauki i obrazovaniya, 2009, no. 5, pp. 16–21.
  3. Sutyagin A.V., Malko L.S., Trifanov I.V. Model formation screw surface hour-glass worm rotational sharpen forcibly rotated multifluted tool. Fundamentalnye issledovaniya, 2014, no. 8-4, pp. 823–828.
  4. Sutyagin A.V., Malko L.S., Trifanov I.V. Improving the efficiency of globoid gear gear treatment based on progressive design and technology solutions. STIN, 2015, no. 2, pp. 20–25.
  5. Sutyagin A.V., Mal’ko L.S., Trifanov I.V. More Efficient Machining of Globoid Worm Gears. Russian Engineering Research, 2015, vol. 35, no. 8, pp. 623–627. doi: 10.3103/S1068798X1508016X.
  6. Sergeeva E.V., Sutyagin A.V., Malko L.S. Results of approbation of the technique of the pilot study of the roughness of the screw surface at rotational turning by the mnogolezviyny tool. Aktualnye problemy aviatsii i kosmonavtiki, 2015, vol. 2, no. 11, pp. 127–129.
  7. Sutyagin A.V., Malko L.S., Trifanov I.V. The impact of technological regimes on the output parameters of the process of rotational turning of the helical surface globoid worm. Fundamentalnye issledovaniya, 2016, no. 2-1, pp. 99–103.
  8. Yatsenko A.Yu., Sutyagin A.V. Test for the accuracy of the machine 5K328A for cutting globe screw surface. Aktualnye problemy aviatsii i kosmonavtiki, 2018, vol. 2, no. 4, pp. 639–641.
  9. Sutyagin A.V., Mal’ko L.S., Trifanov I.V. Experience and Outlook for the Development of a Technology for Generation of the Profile of the Meshed Links of a Global Gear Pair by Rotational Turning. Chemical and Petroleum Engineering, 2016, vol. 51, no. 11-12, pp. 854–860. doi: 10.1007/s10556-016-0135-3.
  10. Sibiryakova D.P., Malko L.S. Metrological and technological support of the modernization process of the worm gearbox is based on the globoid worm of type G1. Aktualnye problemy aviatsii i kosmonavtiki, 2018, vol. 2, no. 4, pp. 617–619.
  11. Mal'ko L.S., Sutyagin A.V., Trifanov I.V., Zakharova N.V., Sukhanova O.A. Gear Cutting in a Globoid Pair with an Initial Cylindrical Involute Gear. Russian Engineering Research, 2020, vol. 40, no. 12, pp. 1087–1090. doi: 10.3103/S1068798X20120400.
  12. Malko L.S., Sutyagin A.V., Trifanov I.V., Zakharova N.V., Sukhanova O.A. Experimental evaluation of design and engineering solutions when gear processing of the adjacent links of globoid gear with the initial cylindrical involute wheel. STIN, 2020, no. 10, pp. 16–21.
  13. Fedotov B.F., Dumilin S.V., Shchegolkov N.N., Belyakov V.N. Improvement of the technology of cutting modified globoidal gears with localized contact patch. Izvestiya MGTU MAMI, 2014, vol. 2, no. 1, pp. 96–99.
  14. Ryazanov S.A., Reshetnikov M.K. Calculation of the coordinates of the modified profile of the generating surface of the gear cutting tool. Geometriya i grafika, 2020, vol. 8, no. 4, pp. 35–46. doi: 10.12737/2308-4898-2021-8-4-35-46.
  15. Seol I.H., Litvin F.L. Computerized Design, Generation and Simulation of Meshing and Contact of Worm-Gear Drives with Improved Geometry. Computer Methods in Applied Mechanics and Engineering, 1996, vol. 138, no. 1-4, pp. 73–103.
  16. Yu T., Dong K., Wang S., Qian Y. Mesh Analysis and Realization of Gear Honing with Globoid Honing Worms on Gear Hobbing Machine. Applied Mechanics and Materials, 2010, no. 37-38, pp. 643–647. doi: 10.4028/ href='www.scientific.net/AMM.37-38.643' target='_blank'>www.scientific.net/AMM.37-38.643.
  17. Argyris J., De Donno M., Litvin F.L. Computer Program in Visual Basic Language for Simulation of Meshing and Contact of Gear Drives and Its Application for Design of Worm Gear Drive. Computer Methods in Applied Mechanics and Engineering, 2000, vol. 189, no. 2, pp. 595–612.
  18. Litvin F.L., Argentieri G., De Donno M., Hawkins M. Computerized Design, Generation and Simulation of Meshing and Contact of Face Worm-Gear Drives. Computer Methods in Applied Mechanics and Engineering, 2000, vol. 189, no. 3, pp. 785–801.
  19. Kheifetc A.L. Geometrically Accurate Computer 3D Models of Gear Drives and Hob Cutters. Procedia Engineering, 2016, vol. 150, pp. 1098–1106. doi: 10.1016/j.proeng.2016.07.220.
  20. Sobolak M., Jagiełowicz P.E. The Methods of Globoid Surface Modeling in CAD. Archives of Materials Science and Engineering, 2016, vol. 81, no. 2, pp. 76–84. doi: 10.5604/01.3001.0009.7102.
  21. Połowniak P., Sobolak M. Mathematical Description of Tooth Flank Surface of Globoidal Worm Gear with Straight Axial Tooth Profile. Open Engineering, 2017, vol. 7, no. 1, pp. 407–415. doi: 10.1515/eng-2017-0047.
  22. Połowniak P., Sobolak M., Marciniec A. Double Enveloping Worm Gear Modelling Using CAD Environment. Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021, vol. 69, no. 2, article number e136736. doi: 10.24425/bpasts.2021.136736.
  23. Popa D., Popa C.M. The Generation of the Worm and Wheel Gears in a CAD Soft. IOP Conference Series: Materials Science and Engineering, 2019, vol. 564, no. 1, article number 012064. doi: 10.1088/1757-899X/564/1/012064.
  24. Starzhinsky V.E., Shil’ko S.V., Shalobaev E.V., Kapelevich A.L., Algin V.B., Petrokovets E.M. Classification of Gear Pairs with Fixed Axes. Review. Mechanisms and Machine Science, 2021, vol. 101, pp. 85–106. doi: 10.1007/978-3-030-73022-2_4.
  25. Mushkin O.V., Nikolaeva N.D., Trukhanov V.M. Research methods of automated calculation worm reducers and development cad of worm reducer. Nauchnoe obozrenie. Tekhnicheskie nauki, 2016, no. 3, pp. 72–74.
  26. Matushkin O.P. Optimization of parameters of the designed worm gear. Khroniki obedinennogo fonda elektronnykh resursov nauka i obrazovanie, 2014, vol. 1, no. 12, pp. 114–115.
  27. Vasilkov D.V., Aleksandrov A.S., Golikova V.V. Friction losses in the elements of mechanical systems of the cutting machine drive. Sistemnyy analiz i analitika, 2020, no. 1, pp. 25–35.
  28. Pavlov V.G., Popov P.K., Seliverstov E.Yu., Semidotskiy N.V. Worm-gear life from deposition of maximum admissible wear. Trenie i smazka v mashinakh i mekhanizmakh, 2007, no. 5, pp. 21–25.
  29. Anferov V.N., Zaytsev A.V. Calculation of Gear and Worm Gears Operating in Variable Loading Mode. Vestnik sibirskogo gosudarstvennogo universiteta putey soobshcheniya, 2016, no. 4, pp. 40–46.
  30. Andrienko L.A., Vyaznikov V.A. Influence of wear on dynamic loads in the worm gear. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie, 2011, no. 9, pp. 18–22.

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