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A Study on Determining Optimum Gear Ratios of Mechanical Driven Systems Using Two-Step Helical Gearbox with First Step Double Gear Sets and Chain Drive

  • Nguyen Khac Tuan
  • Tran Thi Hong
  • Nguyen Van Cuong
  • Le Hong Ky
  • Nguyen Thanh Tu
  • Luu Anh Tung
  • Le Xuan Hung
  • Ngoc Pi VuEmail author
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 104)

Abstract

In this paper, a study on calculating optimum gear ratios of mechanical driven systems using a chain drive and a two-step helical gearbox with the first step double gear sets is introduced. To determine the optimum ratios, an optimization problem was conducted with the selection of system cross section area as the objective function. Also, several input parameters consisting of the total system ratio, the wheel face width coefficients of the both helical gear sets, the allowable contact stress and the output torque were investigated. Furthermore, a simulation experiment was run to study the impacts of these parameters on the optimum ratios. The results show that the optimum ratios can be obtained with high accuracy by using recommended models.

Keywords

Gear ratio Optimum gear ratio Optimum gearbox design Helical gearbox 

Notes

Acknowledgements

The work described in this paper was supported by Thai Nguyen University of Technology for a scientific project.

References

  1. 1.
    Kudreavtev, V.N., Gierzaves, I.A., Glukharev, E.G.: Design and Calculus of Gearboxes. Mashinostroenie Publishing, Sankt Petersburg (1971)Google Scholar
  2. 2.
    Chat, T: Some problems of kinematics calculation of transmission mechanics system. In: Proceedings of the National Conference on Engineering Mechanics, Hanoi, Vietnamese, vol. 2, pp. 7–12 (1993)Google Scholar
  3. 3.
    Milou, G., Dobre, G., Visa, F., Vitila, H.: Optimal design of two step gear units, regarding the main parameters. VDI Berichte No. 1230, p. 227 (1996)Google Scholar
  4. 4.
    Pi, V.N.: A method for optimal calculation of total transmission ratio of two step helical gearboxes. In: Proceedings of the National Conference on Engineering Mechanics, Ha Noi, p. 12 (2001)Google Scholar
  5. 5.
    Cam, N.T.H., Pi, V.N., Tuan, N.K., Hung, L.X., Thao, T.T.P.: Determining optimal partial transmission ratios of mechanical driven systems using a V-belt drive and a helical reducer with second-step double gear-sets. In: Fujita, H. et al. (eds.) ICERA 2018, LNNS, vol. 63, pp. 261–269 (2019).  https://doi.org/10.1007/978-3-030-04792-4_35Google Scholar
  6. 6.
    Petrovski, A.N., Sapiro, B.A., Saphonova, N.K.: About optimal problem for multi-step gearboxes. Vestnik Mashinostroenie, Russian, no. 10, p. 13 (1987)Google Scholar
  7. 7.
    Pi, V.N.: A new study on optimal calculation of partial transmission ratios of two-step helical gearboxes. In: 2nd WSEAS International Conference on Computer Engineering and Applications (CEA 2008), Acapulco, Mexico, 25–27 January 2018, pp. 162–165 (2008)Google Scholar
  8. 8.
    Pi, V.N., Tuan, N.K.: Optimum determination of partial transmission ratios of three-step helical gearboxes for getting minimum cross section. J. Environ. Sci. Eng. A 5, 570–573 (2016)Google Scholar
  9. 9.
    Pi, V.N., Binh, N.D., Dac, V.Q.: Phan Quang The, optimal calculation of total transmission ratio of three-step helical gearboxes for minimum mass of gears. J. Sci. Technol. 6 Eng. Univ. 91 (2006)Google Scholar
  10. 10.
    Pi, V.N.: A new study on optimal calculation of partial transmission ratio of three-step helical reducers. In: The 3rd IASME/WSEAS International Conference on Continuum Mechanics, Cambridge, UK, p. 23 (2008)Google Scholar
  11. 11.
    Pi, V.N.: A new study on optimal calculation of partial transmission ratios of three-step helical reducers for getting minimal cross section dimension. In: The 2nd WSEAS International Conference on Computer Engineering and Applications (CEA 2008), Acapulco, Mexico, 25–27 January 2008, pp. 290–293 (2008)Google Scholar
  12. 12.
    Pi, V.N.: Optimal determination of partial transmission ratios of three-step helical gearboxes with first and third-step double gear-sets for minimal mass of gear. In: American Conference on Applied Mathematics (MATH 2008), Harvard, Massachusetts, USA, 24–26 March 2008, pp. 385–388 (2008)Google Scholar
  13. 13.
    Romhild, I., Linke, H.: Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren. Konstruktion 44, 229–236 (1992)Google Scholar
  14. 14.
    Pi, V.N.: A new study on the optimal prediction of partial transmission ratios of three-step helical gearboxes with second-step double gear-sets. WSEAS Trans. Appl. Theor. Mech. 2(11) (2007)Google Scholar
  15. 15.
    Buiga, O.: 3 stage helical speed reducer partial gear ratios optimal determination using genetic algorithms. Proc. Rom. Acad. Ser. A 20(2), 156–163 (2019)Google Scholar
  16. 16.
    Pi, V.N.: Optimal determination of partial transmission ratios for four-step helical gearboxes with firt and third step double gear-sets for minimal mass of gears. In: Applied Computing Conference (ACC 2008), Istanbul, Turkey, 27–30 May 2008 (2008)Google Scholar
  17. 17.
    Pi, V.N.: Optimal calculation of partial transmission ratios for four-step helical gearboxes with first and third-step double gear-sets for minimal gearbox length. In: American Conference on Applied Mathematics (MATH 2008), Harvard, Massachusetts, USA, 24–26 March 2008, pp. 29–32 (2008)Google Scholar
  18. 18.
    Hung, L.X., Pi, V.N., Du, N.V.: Optimal calculation of partial transmission ratios of four-step helical gearboxes with second and fourth-step double gear-sets for minimal mass of gears. In: The International Symposium on Mechanical Engineering, ISME, Ho Chi Minh city, Vietnam, September 2009, pp. 21–23 (2009)Google Scholar
  19. 19.
    Pi, V.N.: Optimal calculation of partial transmission ratios of four-step helical gearboxes for getting minimal gearbox length. Int. J. Mech. Aerosp. Ind. Mechatron. Manuf. Eng. 22–25 (2008)Google Scholar
  20. 20.
    Pi, V.N.: A new and effective method for optimal calculation of total transmission ratio of two step bevel - helical gearboxes. In: International Colloquium on Mechanics of Solids, Fluids, Structures and Interaction, Nha Trang, Vietnam, pp. 716–719 (2000)Google Scholar
  21. 21.
    Pi, V.N.: A study on optimal calculation of partial transmission ratios of three-step bevel helical gearboxes. In: International Workshop on Advanced Computing and Applications (ACOMP 2008), 12–14 March 2008, pp. 277–286 (2008)Google Scholar
  22. 22.
    Chernavsky, S.A., et al.: Design of Mechanical Transmissions: Manual for High Technical Schools, p. 560. Mashinostroenie, Moscow (1984)Google Scholar
  23. 23.
    Pi, V.N., Dac, V.Q.: Calculation of total transmission ratio of two step worm reducers for the best reasonable gearbox housing structure (in Vietnamese). J. Sci. Technol. Thai Nguyen Univ. 1(41), 65–69 (2007)Google Scholar
  24. 24.
    Pi, V.N., Dac, V.Q.: Optimal calculation of partial transmission ratios of worm-helical gear reducers for minimal gearbox length. J Sci. Technol. Tech. Univ. (61), 73–77 (2007)Google Scholar
  25. 25.
    Pi, V.N., Cam, N.T.H., Tuan, N.K.: Optimum calculation of partial transmission ratios of mechanical driven systems using a V-belt and two-step bevel helical gearbox. J. Environ. Sci. Eng. A 5, 566 (2016)Google Scholar
  26. 26.
    Pi, V.N., Thao, T.T.P., Thao, L.T.P.: A new study on optimum determination of partial transmission ratios of mechanical driven systems using a V-belt and two-step helical gearbox. Vietnam Mech. Eng. J. (10), 123 (2015)Google Scholar
  27. 27.
    Pi, V.N., Tuan, N.K., Hung, L.X., Cam, N.T.H., Thao, T.T.P.: Determining optimum partial transmission ratios of mechanical driven systems using a V-Belt drive and a three-stage helical reducer. In: Advances in Material Sciences and Engineering, pp. 81–88. Springer (2019)Google Scholar
  28. 28.
    Pi, V.N., Thao, T.T.P., Tuan, D.A.: Optimum determination of partial transmission ratios of mechanical driven systems using a chain drive and two-step helical gearbox. J. Environ. Sci. Eng. B 6, 80 (2017)Google Scholar
  29. 29.
    Chat, T., Van Uyen, L.: Design and Calculus of Mechanical Transmissions (in Vietnamese). Educational Republishing House, Hanoi (1998)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Nguyen Khac Tuan
    • 1
  • Tran Thi Hong
    • 2
  • Nguyen Van Cuong
    • 3
  • Le Hong Ky
    • 4
  • Nguyen Thanh Tu
    • 1
  • Luu Anh Tung
    • 1
  • Le Xuan Hung
    • 1
  • Ngoc Pi Vu
    • 1
    Email author
  1. 1.Thai Nguyen University of TechnologyThai NguyenVietnam
  2. 2.Nguyen Tat Thanh UniversityHo Chi MinhVietnam
  3. 3.University of Transport and CommunicationsHa NoiVietnam
  4. 4.Vinh Long University of Technology EducationVinh LongVietnam

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