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Determining Optimum Partial Transmission Ratios of Mechanical Driven Systems Using a V-Belt Drive and a Three-Stage Helical Reducer

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Advances in Material Sciences and Engineering

Abstract

This paper presents a new study on the calculation of optimum partial transmission ratios of mechanical drive systems using a V-belt drive and a three-stage helical reducer. In the optimization study, the objective function of the optimization problem is to find the minimum acreage of system cross section. Besides, the design equation for pitting resistance of gear sets was investigated and equations on moment equilibrium condition of a mechanic system including a V-belt drive and a three-stage helical reducer and their regular resistance condition were considered. Based on the results of the optimization problem, equations for calculating the optimal partial ratios of the V-belt drive and three stages of the reducer were proposed. Using these models, the partial ratios can be calculated accurately and simply.

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References

  1. Kudreavtev VN, Gierzaves IA, Glukharev EG (1971) Design and calculus of gearboxes. Mashinostroenie Publishing, Sankt Petersburg (in Russian)

    Google Scholar 

  2. 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

    Google Scholar 

  3. 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

    Google Scholar 

  4. Petrovski AN, Sapiro BA, Saphonova NK (1987) About optimal problem for multi-step gearboxes (in Russian). Vestnik Mashinostroenie, No. 10, p 13

    Google Scholar 

  5. 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

    Google Scholar 

  6. Pi VN, Binh D,Dac VQ, Phan QT (2006) Optimal calculation of total transmission ratio of three-step helical gearboxes for minimum mass of gears (In Vietnamese). J Sci Technolo 6 Eng Univ p 91

    Google Scholar 

  7. 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

    Google Scholar 

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

    Google Scholar 

  9. Pi VN (2008) 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’ 08), Istanbul, Turkey, May 27–30

    Google Scholar 

  10. Pi VN, Binh D,Dac VQ, Phan QT (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

    Google Scholar 

  11. 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

    Google Scholar 

  12. 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

    Google Scholar 

  13. Chat T, Van Uyen L (1998) Design and calculus of mechanical transmissions (in Vietnamese). Educational Republishing House, Hanoi

    Google Scholar 

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Acknowledgements

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

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Correspondence to Vu Ngoc Pi .

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Pi, V.N., Tuan, N.K., Hung, L.X., Cam, N.T.H., Thao, T.T.P. (2020). Determining Optimum Partial Transmission Ratios of Mechanical Driven Systems Using a V-Belt Drive and a Three-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_11

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  • DOI: https://doi.org/10.1007/978-981-13-8297-0_11

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  • Print ISBN: 978-981-13-8296-3

  • Online ISBN: 978-981-13-8297-0

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