Abstract
This paper presents a study on the optimum determination of partial trans-mission ratios of mechanical drive systems using a chain drive and a three-step helical reducer. In the study, the height of the cross section of the system was chosen as the objective function of the optimization problem. In addition, the design equation for pitting resistance of gear steps was considered. Besides, the equations on moment equilibrium condition of a mechanic system including a chain drive and a three-step helical reducer and their regular resistance condition were analyzed. From the results of the optimization problem, the equations for determining the optimum partial ratios of the chain drive and three steps of the reducer were presented. Using these equations, the partial ratios can be determined accurately and simply.
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References
Kudreavtev, V.N., Gierzaves, I.A., Glukharev, E.G.: Design and Calculus of Gearboxes. Mashinostroenie Publishing, Sankt Petersburg (1971). (in Russian)
Milou, G., Dobre, G., Visa, F., Vitila, H.: Optimal design of two step gear units, regarding the main parameters, VDI Berichte No 1230, p. 227 (1996)
Pi, V.N.: 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 (2001)
Petrovski, A.N., Sapiro, B.A., Saphonova, N.K.: About optimal problem for multi-step gearboxes. Vestnik Mashinostroenie 10, 13 (1987, in Russian)
Pi, V.N., Tuan, N.K.: Optimum determination of partial transmission ratios of three-step helical gearboxes for getting minimum cross section. J. Environ. Sci. Eng. A5, 570–573 (2016)
Pi, V.N., Binh, N.D., Dac, V.Q., The, P.Q.: Optimal calculation of total transmission ratio of three-step helical gearboxes for minimum mass of gears. J. Sci. Technol. 91 (2006, in Vietnamese)
Pi, V.N.: 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 (2008)
Romhild, I., Linke, H.: Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren. Konstruktion 44, 229–236 (1992)
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. In: Applied Computing Conference (ACC 2008), Istanbul, Turkey, 27–30 May 2008 (2008)
Hung, L.X., Pi, V.N., Du, 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. In: The International Symposium on Mechanical Engineering (ISME Ho Chi Minh city, Vietnam, 21–23 September 2009 (2009)
Pi, V.N., Thao, T.T.P., Thao, L.T.P.: 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 (2015)
Pi, V.N., Cam, N.T.H., Tuan, N.K.: Optimum calculation of partial transmission ratios of mechanical driven systems using a V-belt and two-step bevel helical gearbox. J. Environ. Sci. Eng. A5, 566 (2016)
Pi, V.N., Thao, T.T.P., Tuan, D.A.: Optimum determination of partial transmission ratios of mechanical driven systems using a chain drive and two-step helical gearbox. J. Environ. Sci. Eng. B6, 80 (2017)
Chetan, A., Samarth, A.K.M.: Design optimization of speed ratio for conventional chain drive used in tricycle. Int. J. Innov. Technol. Explor. Eng. 1(1), 40–43 (2012)
Chat, T., Van Uyen, L.: Design and Calculus of Mechanical Transmissions. Educational Republishing House, Hanoi (1998). (in Vietnamese)
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The work described in this paper was supported by Thai Nguyen University of Technology for a scientific project.
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Cam, N.T.H., Pi, V.N., Tuan, N.K., Hung, L.X., Thao, T.T.P. (2019). A Study on Determination of Optimum Partial Transmission Ratios of Mechanical Driven Systems Using a Chain Drive and a Three-Step Helical Reducer. In: Fujita, H., Nguyen, D., Vu, N., Banh, T., Puta, H. (eds) Advances in Engineering Research and Application. ICERA 2018. Lecture Notes in Networks and Systems, vol 63. Springer, Cham. https://doi.org/10.1007/978-3-030-04792-4_14
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