Abstract
This article introduces a new study on the optimal calculation of partial transmission ratios of mechanical drive systems using a chain and a two-stage helical reducer. In the study, the dimension of the cross section of the system was chosen as the objective function of the optimization problem. Also, the design equation for pitting resistance of a gear set was investigated and equations on moment equilibrium condition of a mechanic system including a chain and a two-stage helical reducer and their regular resistance condition were analyses. From the results of the study, models for determining the optimal partial ratios of the chain and two stages of the reducer were proposed. Using these models, the partial ratios can be 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
Similar content being viewed by others
References
Kudreavtev VN, Gierzaves IA, Glukharev EG (1971) Design and calculus of gearboxes. Mashinostroenie Publishing, Sankt Petersburg (in Russian)
Milou G, Dobre G, Visa F, Vitila H (1996) Optimal design of two step gear units, regarding the Main Parameters. VDI Berichte No 1230, p 227
Pi VN (2001) 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
Petrovski AN, Sapiro BA, Saphonova NK (1987) About optimal problem for multi-step gearboxes. Vestnik Mashinostr 10:13. (in Russian)
Pi VN, Tuan NK (2016) Optimum determination of partial transmission ratios of three-step helical gearboxes for getting minimum cross section. J Environ Sci Eng A 5:570–573
Pi VN, Binh ND, Dac VQ (2006) 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
Pi VN (2008) 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
Romhild I, Linke H (1992) Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren. Konstruktion 44:229–236
Pi VN (2008) Optimal determination of partial transmission ratios for four-step helical gearboxes with firt and third step double gear-sets for minimal mass of gears. Applied Computing Conference (ACC’ 08), Istanbul, Turkey, May 27–30
Hung LX, Pi VN, Du NV (2009) 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, 21–23, September
Pi VN, Thao TTP, Thao LTP (2015) 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
Pi VN, Cam NTH, Tuan NK (2016) 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
Pi VN, Thao TTP, Tuan DA (2017) 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
Chetan AS, Mahalle AK (2012) Design optimization of speed ratio for conventional chain drive used in tricycle. Int J Innovative Technol Exploring Eng 1(1):40–43
Chat T, Le Van Uyen D (1998) Design and calculus of mechanical transmissions. Educational Republishing House, Hanoi. (in Vietnamese)
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. (2020). A New Study on Calculation of Optimum Partial Transmission Ratios of Mechanical Driven Systems Using a Chain Drive and a Two-Stage Helical Reducer. 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_13
Download citation
DOI: https://doi.org/10.1007/978-981-13-8297-0_13
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8296-3
Online ISBN: 978-981-13-8297-0
eBook Packages: EngineeringEngineering (R0)