Abstract
This paper presents a study on the optimal determination of gear ratios of worm-helical gearboxes. In this study, the acreage of the cross section of the gearbox was chosen as the objective function of the optimization problem. Furthermore, the design equations for pitting resistance of the worm and the gear set were considered. In addition, equations on moment equilibrium condition of a mechanic system including two-gear unit of the gearbox and their regular resistance condition were analysed. From the results of the optimization problem, equations for determining the optimum partial ratios of the two stages of the gearbox were proposed. Based on these models, the partial ratios are calculated accurately and simply.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hiep Nguyen Trong, Van Lam Nguyen (1979) Design of machine elements (in Vietnamese). Educational Republishing House, Hanoi
Trernapski CA, Trekharev GA (1984) Design of mechanical transmission system. Mashinostroenie Publishing, Moskova (in Russian)
Miloiu G, Dobre G, Visa F, Vintila H (1996) Optimal design of two step gear units, regarding the main paramaters. VDI BERICHTE, 1230:227–244
Pi Vu Ngoc, Dac Vu Quy (2007) Calculation of total transmission ratio of two step worm reducers for the best reasonable gearbox housing structure (in Vietnamese). J Sci Technol Thai Nguyen University 1(41):65–69
Chat T (1993) Some problems of kinematics calculation of transmission mechanics system (in Vietnamese). In: Proceedings of the national conference on engineering mechanics, vol. 2. Hanoi, pp 7–12
Pi VN, Dac VQ (2005) Optimal calculation of total transmission ratio of worm-helical gear reducers. J Sci Technol-Thai Nguyen University, 1(4):36
Pi VN, Dac VQ (2007) Optimal calculation of partial transmission ratios of worm-helical gear reducers for minimal gearbox length. J Sci Technol Technical Universities 61:73–77
Chat T, Van Uyen L (2007) Design and calculus of mechanical transmissions systems (in Vietnamese), vol 1. Educational Republishing House, Hanoi
Acknowledgements
The work described in this paper was supported by Thai Nguyen University of Technology for a scientific project.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Pi, V.N., Tuan, N.K., Hung, L.X., Dung, N.T.Q., Hien, B.T. (2020). Determining Optimum Gear Ratios of a Worm—Helical Gearbox for Minimum Acreage of the Cross Section. In: Awang, M., Emamian, S., Yusof, F. (eds) Advances in Material Sciences and Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-8297-0_12
Download citation
DOI: https://doi.org/10.1007/978-981-13-8297-0_12
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8296-3
Online ISBN: 978-981-13-8297-0
eBook Packages: EngineeringEngineering (R0)