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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
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)
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)
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
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
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
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
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)
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)
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
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)
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)
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)
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)
Römhild, I., Linke, H.: Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren. Konstruktion, Konstruktion. 44, 229–236 (1992)
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)
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)
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)
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)
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)
Kudreavtev, V.N., Gierzaves, I.A.: Design and Calculus of Gearboxes (in Russian). Mashinostroenie Publishing, Sankt Petersburg (1971)
Petrovski, A.N., Sapiro, B.A., Saphonova, N.K.: About optimal problem for multi-step gearboxes (in Russian). Vestn. Mashinostr. 13–14 (1987)
Chat, T., Uyen, L.V.: Calculation of Mechanical Driven Systems. Education Publisher (1996)
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)
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)
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)
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
Acknowledgement
This work was supported by Thai Nguyen University of Technology.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
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)