Skip to main content

A Study on Determination of Optimum Gear Ratios of a Two-Stage Worm Gearbox

  • Conference paper
  • First Online:
Advances in Engineering Research and Application (ICERA 2019)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 104))

Included in the following conference series:

Abstract

This paper presents a study on the determination of the optimum gear ratios of a two-stage worm gearbox. To find the optimum gear ratios, an optimization problem was performed. Also, the reasonable gearbox structure was chosen as the objective function of the optimization problem. In addition, the effects of the input factors including the total gearbox ratio, the electric motor speed, and the output torque were investigated. Besides, a simulation experiment was designed and performed by computer programs to evaluate the influences of these input factors on the optimum gear ratios. Moreover, some models to calculate the optimum gear ratios of a two-stage worm gearbox were suggested. As these equations are explicit, the determination of the optimum gear ratios is accurate and uncomplicated.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Kudreavtev, V.N., Gierzaves, I.A., Glukharev, E.G.: Design and Calculus of Gearboxes. Mashinostroenie Publishing, Sankt Petersburg (1971)

    Google Scholar 

  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. Milou, G., Dobre, G., Visa, F., Vitila, H.: Optimal design of two step gear units, regarding the main parameters. VDI Berichte 1230, 227 (1996)

    Google Scholar 

  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, Hanoi, p. 12 (2001)

    Google Scholar 

  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_35

    Google Scholar 

  6. Petrovski, A.N., Sapiro, B.A., Saphonova, N.K.: About optimal problem for multi-step gearboxes. Vestnik Mashinostroenie 10, 13 (1987)

    Google Scholar 

  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, pp. 162–165 (2008)

    Google Scholar 

  8. Nguyen, K.T., Vu, N.P., Nguyen, T.H.C., Tran, T.P.T., Ho, K.T., Le, X.H., Hoang, T.T.: Determining optimal gear ratios of a two-stage helical reducer for getting minimal acreage of cross section. In: MATEC Web of Conferences, vol. 213, p. 01008 (2018)

    Google Scholar 

  9. 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 

  10. Pi, V.N., Binh, N.D., Dac, V.Q., The, P.Q.: 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 

  11. 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 

  12. 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, pp. 290–293 (2008)

    Google Scholar 

  13. 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, pp. 385–388 (2008)

    Google Scholar 

  14. Romhild, I., Linke, H.: Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren. Konstruktion 44, 229–236 (1992)

    Google Scholar 

  15. Pi, V.N.: Optimal determination of partial transmission ratios for four-step helical gearboxes with first and third step double gear-sets for minimal mass of gears. In: Applied Computing Conference (ACC 2008), Istanbul, Turkey, 27–30 May (2008)

    Google Scholar 

  16. 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, pp. 29–32 (2008)

    Google Scholar 

  17. 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, pp. 21–23 (2009)

    Google Scholar 

  18. Pi, V.N.: Optimal determination of partial transmission ratios for four-step helical gearboxes with first and third step double gear-sets for minimal mass of gears. In: Applied Computing Conference, ACC 2008, Istanbul, Turkey, 27–30 May, pp. 53–57 (2008)

    Google Scholar 

  19. 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 

  20. 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. Env. Sci. Eng. A 5, 566 (2016)

    Google Scholar 

  21. Tuan, N.K., Thao, T.T.P., Cam, N.T.H., Hung, L.X., Pi, V.N.: Optimum calculation of partial transmission ratios of mechanical driven systems using a V-belt and a three-step bevel helical gearbox. In: Fujita, H., et al. (eds.) ICERA 2018. LNNS, vol. 63, pp. 469–476 (2019). https://doi.org/10.1007/978-3-030-04792-4_61

    Google Scholar 

  22. 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 

  23. Cam, N.T.H., Pi, V.N., Tuan, N.K., Hung, L.X., Thao, T.T.P.: A study on determination of optimum partial transmission ratios of mechanical driven systems using a chain drive and a three-step helical reducer. In: Fujita, H., et al. (eds.) ICERA 2018. LNNS, vol. 63, pp. 91–99 (2019). https://doi.org/10.1007/978-3-030-04792-4_14

    Google Scholar 

  24. 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 

  25. Chernavsky, S.A., et al.: Design of mechanical transmissions: manual for high technical schools, Moscow, Mashinostroenie, p. 560 (1984)

    Google Scholar 

  26. Pi, V.N., Dac, V.Q.: Calculation of total transmission ratio of two step worm reducers for the best reasonable gearbox housing structure. J. Sci. Technol. Thai Nguyen Univ. 1(41), 65–69 (2007)

    Google Scholar 

  27. 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 

  28. Grote, K.-H., Antonsson, E.K.: Springer Handbook of Mechanical Engineering. Springer, Heidelberg (2008)

    Google Scholar 

  29. Chat, T., Van Uyen, L.: Design and Calculation of Mechanical Transmissions Systems, vol. 1. Educational Republishing House, Hanoi (2007)

    Google Scholar 

Download references

Acknowledgements

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

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ngoc Pi Vu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Tung, L.A. et al. (2020). A Study on Determination of Optimum Gear Ratios of a Two-Stage Worm Gearbox. In: Sattler, KU., Nguyen, D., Vu, N., Tien Long, B., Puta, H. (eds) Advances in Engineering Research and Application. ICERA 2019. Lecture Notes in Networks and Systems, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-030-37497-6_8

Download citation

Publish with us

Policies and ethics