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Determination of Conjugated Profiles of Teeth in Cylindrical Gears, Knowing Meshing Line in Face Section

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Advances in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

To identify the gears, tooth shape that ensures optimal gearing quality indicators is a crucial design problem. The authors suggest a new optimization synthesis concept based on the determination of an optimized meshing line to address this issue. The synthesis algorithm including its key and the largest (as concerns calculations) blocks is described in the article. The article introduces derivation of formulae for determination of the tooth profiles with a known meshing line. According to the formulae, profiles for various types of meshing lines (a straight line, a curve, etc.) were obtained. The conclusions were made, and further fields for research were determined.

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References

  1. Babichev D, Storchak M (2015) Synthesis of cylindrical gears with optimum rolling fatigue strength. Production Engineering. Res Develop 9(1), Springer, pp. 87–97 ISSN 0944-6524

    Google Scholar 

  2. Babichev DT, Lebedev SY, Babichev DA (2018) Fundamentals of the design of cylindrical gears during the initial synthesis of the optimal gearing line in the end section. Mod Eng Sci Educ, pp 681–692 (in Russian)

    Google Scholar 

  3. Lytvyn FL (1968) Theory of gearing. Science 584 (in Russian)

    Google Scholar 

  4. Babichev DT (2017) The main tasks of the classical theory of gearing and the problem of the optimization synth:esis of tooth profiles, 20(2): 71–74 (in Russian)

    Google Scholar 

  5. Pavlov AI (2005) The modern theory of gearing, (in Russian)

    Google Scholar 

  6. Shishov VP, Nosko PL, Fil PV (2006) The theoretical basis of the synthesis of gearing, p 408 (in Russian)

    Google Scholar 

  7. Evgrafov A, Khisamov A, Egorova O (2014) Experience of modernization of the curriculum TMM in St. Petersburg state polytechnical university. Mech Mach Sci 19: 239–247 https://doi.org/10.1007/978-3-319-01836-2_26 (in Russian)

  8. Egorova O, Evgrafov A, Rayushkina V (2014) Modern view on “History of science” teaching at technical universities. Mech Mach Sci 19: 137–144. https://doi.org/10.1007/978-3-319-01836-2_15 (in Russian)

  9. Semenov YA, Semenova NS (2017) Analysis of machine tool installation on the base. Lecture notes in mechanical engineering, pp 105–114. https://doi.org/10.1007/978-3-319-53363-6_11 (in Russian)

  10. Evgrafov AN, Petrov GN (2017) Computer simulation of mechanisms. Lecture notes in mechanical engineering, pp 45–56. https://doi.org/10.1007/978-3-319-53363-6_6

  11. Didikov R, Dobretsov R, Galyshev Y (2018) Power Distribution Control in the Transmission of the Perspective Wheeled Tractor with Automated Gearbox. Adv Intell Syst Comput 692:192–200. https://doi.org/10.1007/978-3-319-70987-1_21

    Article  Google Scholar 

  12. Vetyukov Y, Oborin E, Krommer M, Eliseev V (2017) Transient modelling of flexible belt drive dynamics using the equations of a deformable string with discontinuities. Math Comput Modell Dyn Syst 23(1):40–54. https://doi.org/10.1080/13873954.2016.123228

    Article  MathSciNet  Google Scholar 

  13. Borina A, Tereshin V (2017) Stability of walking algorithms. Lecture notes in mechanical engineering, pp 19–25. https://doi.org/10.1007/978-3-319-53363-6_3

  14. Evgrafov AN,. Petrov GN (2016) Drive selection of multidirectional mechanism with excess inputs. Lecture notes in mechanical engineering, pp 31–37 https://doi.org/10.1007/978-3-319-29579-4_4

  15. Evgrafov AN, Petrov GN (2013) Calculation of the geometric and kinematic parameters of a spatial leverage mechanism with excessive coupling. J Mach Manuf Reliab 42(3):179–183. https://doi.org/10.3103/S1052618813030035

    Article  Google Scholar 

  16. Eliseev KV (2018) Contact forces between wheels and railway determining in dynamic analysis. Numerical simulation. Lecture notes in mechanical engineering, pp 61–70 https://doi.org/10.1007/978-3-319-72929-9_8

  17. Borina A, Tereshin V (2016) Mathematical modelling of interaction of the biped dinamic walking robot with the ground. Lecture notes in mechanical engineering, pp 127–133 https://doi.org/10.1007/978-3-319-29579-4_13

  18. Manzhula KP, Shlepetinskii AY (2016) Stress and strain concentration in weld-joint flaws. Russ Eng Res 36(9):722–726. https://doi.org/10.3103/S1068798X16090148

    Article  Google Scholar 

  19. Babichev DT., Babichev DA, Lebedev SY (2018) Calculation of tooth profile radiuses of curvature into line of contact parameters. IOP Conf. Series: Mater Sci Eng (KOD 2018). 393: 681–692 http://iopscience.iop.org

  20. Lebedev SY, Babichev DT (2018) Development of the program complex for analysis and optimization synthesis of cylindrical gears. Modern engineering: science and education, pp 710–719 (in Russian)

    Google Scholar 

  21. Babichev DT, Volkov AE (2015) The history of the development of the theory of gearing. Bul Sci Techn Develop 5(93): 25–42 www.vntr.ru (in Russian)

  22. Babichev DT, Lagutin SA, Barmina NA (2016) Review of the works of the Russian school of theory and geometry of gearing. part 1. Sources of the theory of gearing and the period of its heyday in the years 1935–1975. Theory Mech Mach. 14(3) (31). (in Russian)

    Google Scholar 

  23. Babichev DT (2017) Theorems on linear and quadratic gearing equations and their solution. Mod Mech Eng Sci. Educ 80–90 (in Russian)

    Google Scholar 

  24. Babichev Dmitry T, Babichev Denis A, Lebedev Sergey Yu (2018) Concept of gear synthesis based on assignment of instant contact areas for loaded teeth. Int Rev Mech Eng (IREME) 12(5):420–429

    Article  Google Scholar 

  25. Babichev DT, Lebedev SY, Babichev DA (2018) Theoretical fundamentals of spur and helical gear synthesis based on assignment of meshing lines at face section. Mech Eng Res Educ 4: IREME

    Google Scholar 

  26. Isai’s K-K, Jürgen Z (2010) Contribution to the geometric synthesis of gears. Special Edition Publication series of the Georg Simon Ohm University Nuremberg, Vol. 46, p 45

    Google Scholar 

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Acknowledgements

This work was supported by grant (project N9.6355.2017/БЧ) of government order of Ministry of education and science of Russia Federation for the period 2017–2019 in Industrial University of Tyumen.

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Authors and Affiliations

  1. Industrial University of Tyumen, Tyumen, Russia

    Dmitry T. Babichev, Sergey Yu. Lebedev & Denis A. Babichev

Authors
  1. Dmitry T. Babichev
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  2. Sergey Yu. Lebedev
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  3. Denis A. Babichev
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Corresponding author

Correspondence to Dmitry T. Babichev .

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Editors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Alexander N. Evgrafov

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Babichev, D.T., Lebedev, S.Y., Babichev, D.A. (2019). Determination of Conjugated Profiles of Teeth in Cylindrical Gears, Knowing Meshing Line in Face Section. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-11981-2_9

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  • DOI: https://doi.org/10.1007/978-3-030-11981-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11980-5

  • Online ISBN: 978-3-030-11981-2

  • eBook Packages: EngineeringEngineering (R0)

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