Skip to main content

Calculation and Design of Worm Helical Gearboxes Based on Technique Tools

  • Conference paper
  • First Online:
Advances in Engineering Research and Application (ICERA 2021)

Abstract

In this paper, to get the minimum gearbox volume of a worm helical gearbox, a new method related to the computation of three dimensions of gearboxes is proposed. In the study, the volume of a worm helical gearbox was considered as the objective of the optimization problem. In addition, many main design parameters, comprising the total gearbox ratio, the coefficient of wheel face width of the second stage, the allowable contact stress of the second stage, and the output torque, were discussed to examine their influences on the optimum gear ratios of the gearbox. The technique tools such as the screening experiment, regression, and variance analysis were used to evaluate the effect of the design parameters on the optimum gear ratios. Moreover, a regression model was established for simply computing the optimal gear ratio of the worm unit.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Pi, V.N., Tuan, N.K.: Determining optimum partial transmission ratios of mechanical driven systems using a chain drive and a two-step bevel helical gearbox. Int. J. Mech. Eng. Robot. Res. 8, 708–712 (2019)

    Article  Google Scholar 

  2. Vu, N.P., Thao, T.T.P., Hong, T.T., Tuan, N.K., Hung, L.X., Tung, L.A.: Determination of optimum gear ratios of a three stage bevel helical gearbox, Mater. Sci. Eng. 1–8 (2019)

    Google Scholar 

  3. Tran, T.H., Cuong, N.V., Ky, L.H., Tuan, N.K., Vu, N.P.: Calculating optimum gear ratios of two step Bevel helical reducer. Int. J. Mech. Eng. Technol. 14, 3494–3499 (2019)

    Google Scholar 

  4. Pi, V.N.: A study on optimal determination of partial transmission ratios of helical gearboxes with second-step double gear-sets. Int. J. Mech. Mechatron. Eng. 2, 26–29 (2008)

    Google Scholar 

  5. Tuan, N.K., et al.: 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. In: Sattler, K.-U., Nguyen, D.C., Vu, N.P., Tien Long, B., Puta, H. (eds.) ICERA 2019. LNNS, vol. 104, pp. 85–93. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-37497-6_9

    Chapter  Google Scholar 

  6. Vu, N.P., Tuan, N.K., Hung, L.X., Tung, L.A.: A new study on determination of optimum gear ratios of a two-stage helical gearbox. In: Awang, M., Emamian, S.S., Yusof, F. (eds.) Advances in Material Sciences and Engineering. LNME, pp. 107–115. Springer, Singapore (2020). https://doi.org/10.1007/978-981-13-8297-0_14

    Chapter  Google Scholar 

  7. Tu, N.T., et al.: Determining optimal gear ratios of mechanical drive systems using two-stage helical gearbox with second-stage double gear sets and chain drive for minimal system cross section area. In: Sattler, K.-U., Nguyen, D.C., Vu, N.P., Tien Long, B., Puta, H. (eds.) ICERA 2019. LNNS, vol. 104, pp. 238–248. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-37497-6_28

    Chapter  Google Scholar 

  8. Pi, V.N., Tuan, N.K., Hung, L.X., Dung, N.T.Q., Hien, B.T.: Determining optimum gear ratios of a worm—helical gearbox for minimum acreage of the cross section. In: Awang, M., Emamian, S.S., Yusof, F. (eds.) Advances in Material Sciences and Engineering. LNME, pp. 89–96. Springer, Singapore (2020). https://doi.org/10.1007/978-981-13-8297-0_12

    Chapter  Google Scholar 

  9. Cuong, N.V., Ky, L.H., Hong, T.T., Tu, N.T., Vu, N.P.: Splitting total gear ratio of two-stage helical reducer with first-stage double gearsets for minimal reducer length. Int. J. Mech. Prod. Eng. Res. Dev. 9, 595–608 (2019)

    Google Scholar 

  10. Vu, N.P.: Optimal calculation of partial transmission ratios for four-step helical gearboxes with first and third step double gear-sets for minimal gearbox length. Proc. Am. Conf. Appl. Math. 29–32 (2008)

    Google Scholar 

  11. Hung, L.X., et al.: Calculation of optimum gear ratios of mechanical driven systems using two-stage helical gearbox with first stage double gear sets and chain drive. In: Sattler, K.-U., Nguyen, D.C., Vu, N.P., Tien Long, B., Puta, Hs. (eds.) ICERA 2019. LNNS, vol. 104, pp. 170–178. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-37497-6_20

    Chapter  Google Scholar 

  12. Tran, T.H., Cuong, N.V., Ky, L.H., Tu, N.T., Pi, V.N.: Calculating optimum gear ratios of mechanical driven systems using worm-helical gearbox and chain drive. Int. J. Appl. Eng. Res. 14, 3211–3218 (2019)

    Google Scholar 

  13. Cam, N.T.H., et al.: Calculating optimum gear ratios of mechanical drive systems using two-stage helical gearbox with second-stage double gear sets and chain drive for minimum gearbox length. Adv. Eng. Res. Appl. 76–84 (2020)

    Google Scholar 

  14. 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. Appl. Comput. Eng. 53–57 (2008)

    Google Scholar 

  15. Hưng, L.X., Pi, V.N., Dự, 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. Int. Symp. Mech. Eng. 1–5 (2009)

    Google Scholar 

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

    Google Scholar 

  17. Hong, T.T., et al.: Optimization of transmission ratios for two-stage bevel helical gearboxes based on mass function. Int. J. Eng. Res. Technol. 13, 1692–1699 (2020)

    Article  Google Scholar 

  18. Hong, D.T.T.H., et al.: Effects of experimental parameters on the output responses for three-stage bevel helical gearboxes. Int. J. Mech. Prod. Eng. Res. Dev. 10, 3695–3708 (2020)

    Google Scholar 

  19. Vu, N.P.: A new study on the optimal prediction of partial transmission ratios of three-step helical gearboxes with second-step double gear-sets. Appl. Theory Mech. 2, 229–238 (2007)

    Google Scholar 

  20. Thao, T.T.P., et al.: Calculating optimum gear ratios of mechanical driven systems using three step bevel helical gearbox and chain drive for minimum system height. Int. J. Mech. Prod. Eng. Res. Dev. 9, 211–224 (2019)

    Google Scholar 

  21. Milou, G., Dobre, G., Visa, F., Vitila, H.: Optimal design of two step gear units, regarding the main parameters. VDI Berichte 1230, 227–244 (1996)

    Google Scholar 

  22. Kudreavtev, V.N., Gierzaves, I.A.: Design and Calculus of Gearboxes (in Russian). Mashinostroenie Publishing, Sankt Petersburg (1971)

    Google Scholar 

  23. Petrovski, A.N., Sapiro, B.A., Saphonova, N.K.: About optimal problem for multi-step gearboxes (in Russian). Vestn. Mashinostr. 13–14 (1987)

    Google Scholar 

  24. Chat, T., Uyen, L.V.: Calculation of Mechanical Driven Systems. Education Publisher (1996)

    Google Scholar 

  25. Vu, N.P.: A new study on optimal calculation of partial transmission ratios of helical gearboxes with first-step double gear-sets. Lect. Notes Eng. Comput. Sci. 162–165 (2008)

    Google Scholar 

  26. Cam, N.T.H., Vu, N.P., Hong, T.T., Ky, L.H., Tung, L.A.: A study on calculation of optimum gear ratios of a two-stage helical gearbox with second stage double gear sets. Int. J. Mech. Prod. Eng. Res. Dev. 9, 613–620 (2018)

    Google Scholar 

  27. Tuan, N.K., et al.: Determining optimal gear ratios of a two-stage helical reducer for getting minimal acreage of cross section. Asia Conf. Mech. Mater. Eng. 1–5 (2018)

    Google Scholar 

  28. Grote, K.-H., Antonsson, E.K. (eds.): Springer Handbook of Mechanical Engineering. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-540-30738-9

    Book  Google Scholar 

Download references

Acknowledgement

This work was supported by Thai Nguyen University of Technology.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nguyen Thi Thanh Nga .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kieu, T.T. et al. (2022). Calculation and Design of Worm Helical Gearboxes Based on Technique Tools. In: Nguyen, D.C., Vu, N.P., Long, B.T., Puta, H., Sattler, KU. (eds) Advances in Engineering Research and Application. ICERA 2021. Lecture Notes in Networks and Systems, vol 366. Springer, Cham. https://doi.org/10.1007/978-3-030-92574-1_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-92574-1_25

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-92573-4

  • Online ISBN: 978-3-030-92574-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics