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2022 | OriginalPaper | Chapter

Determining Optimum Gear Ratios for a Four-Stage Helical Gearbox for Getting Minimum Gearbox Cost

Authors : Nguyen Huu Quang, Nguyen Thanh Tu, Nguyen Hong Linh, Nguyen Huu Luan, Le Hoang Anh, Nguyen Anh Tuan, Tran Ngoc Giang, Vu Ngoc Pi

Published in: Advances in Engineering Research and Application

Publisher: Springer International Publishing

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Abstract

This paper presents the research results to determine the optimal partial gear ratios of the four-speed helical gearbox based on the cost optimization problem. To solve that problem, a simulation experiment with 13 input parameters was designed and conducted. The influence of the input parameters on the optimum gear ratios was evaluated. In addition, regression formulas to determine the optimum partial ratios to achieve the smallest gearbox cost have been proposed. These formulas are easy to use because they are all in the form of explicit functions.

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Literature
1.
Bartelmus, W., et al.: Modelling of gearbox dynamics under time-varying nonstationary load for distributed fault detection and diagnosis. Eur. J. Mech. A/Solids 29(4), 637–646 (2010)CrossRef
2.
3.
Chaari, F., Zimroz, R., Bartelmus, W., Fakhfakh, T., Haddar, M.: Model based investigation on a two stages gearbox dynamics under non-stationary operations. In: Fakhfakh, T., Bartelmus, W., Chaari, F., Zimroz, R., Haddar, M. (eds.) Condition Monitoring of Machinery in Non-Stationary Operations, pp. 133–142. Springer, Heidelberg (2012). https://​doi.​org/​10.​1007/​978-3-642-28768-8_​14
4.
Fan, X., Zuo, M.J.: Gearbox fault detection using Hilbert and wavelet packet transform. Mech. Syst. Signal Process. 20(4), 966–982 (2006)CrossRef
5.
Lei, Y., et al.: Planetary gearbox fault diagnosis using an adaptive stochastic resonance method. Mech. Syst. Signal Process. 38(1), 113–124 (2013)CrossRef
6.
Zhang, Z., Verma, A., Kusiak, A.: Fault analysis and condition monitoring of the wind turbine gearbox. IEEE Trans. Energy Convers. 27(2), 526–535 (2012)CrossRef
7.
Inoue, K., Yamanaka, M., Kihara, M.: Optimum stiffener layout for the reduction of vibration and noise of gearbox housing. J. Mech. Des. 124(3), 518–523 (2002)CrossRef
8.
Guan, Y.H., Lim, T.C., Shepard, W.S.: Experimental study on active vibration control of a gearbox system. J. Sound Vib. 282(3–5), 713–733 (2005)CrossRef
9.
Nayak, U., Aravind, S., Aundhekar, S.: Influence of gear geometry on gearbox noise reduction-an experimental investigation. SAE Int. J. Commer. Veh. 7(2014-01-9029), 746–752 (2014)
10.
Wang, L., et al.: Wind turbine gearbox failure identification with deep neural networks. IEEE Trans. Ind. Inf. 13(3), 1360–1368 (2016)CrossRef
11.
Zhao, M., Ji, J.: Dynamic analysis of wind turbine gearbox components. Energies 9(2), 110 (2016)CrossRef
12.
Hong, T.T., et al.: Calculating optimum gear ratios of two step bevel helical reducer. Int. J. Appl. Eng. Res 14, 3494–3499 (2019)
13.
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 (2001)
14.
Tuan, N.K., et al.: Determining optimal gear ratios of a two-stage helical reducer for getting minimal acreage of cross section. In: MATEC Web of Conferences. EDP Sciences (2018)
15.
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., Vu, N., Tien Long, B., Puta, H. (eds.) ICERA 2019. LNNS, vol. 104, pp. 170–178. Springer, Cham (2020). https://​doi.​org/​10.​1007/​978-3-030-37497-6_​20
16.
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. In: Sattler, K.-U., Nguyen, D.C., Vu, N.P., Tien Long, B., Puta, H. (eds.) ICERA 2019. LNNS, vol. 104, pp. 155–163. Springer, Cham (2020). https://​doi.​org/​10.​1007/​978-3-030-37497-6_​18CrossRef
17.
Pi, V.N.: A study on optimal determination of partial transmission ratios of helical gearboxes with second-step double gear-sets. Proc. World Acad. Sci. 27, 113–116 (2008)
18.
Vu, N.-P., et al.: The influence of main design parameters on the overall cost of a gearbox. Appl. Sci. 10(7), 2365 (2020)CrossRef
19.
Pi, V.N., Tuan, N.K., Hung, L.X., Cam, N.T.H., Thao, T.T.P.: 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. LNME, pp. 81–88. Springer, Singapore (2020). https://​doi.​org/​10.​1007/​978-981-13-8297-0_​11
20.
Cam, N.T.H., Pi, V.N., Tuan, N.K., Hung, L.X., Thao, T.T.P.: 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.) ICERA 2018. LNNS, vol. 63, pp, 91–99. Springer, Cham (2019). https://​doi.​org/​10.​1007/​978-3-030-04792-4_​14
21.
Pi, V.N.: Optimal calculation of partial transmission ratios for four-step helical gearboxes with first and third-step double gear-sets for minimal gearbox length. In: American Conference on Applied Mathematics (MATH 2008), Harvard, Massachusetts, USA (2008)
22.
Pi, V.N., et al.: Cost optimization study of two-step helical gearboxes with first stage double gear sets. Int. J. Mech. Prod. Eng. Res. Dev. (Ijmperd) 10, 573–584 (2020)
23.
24.
Römhild, I., Linke, H.: Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren. Konstruktion 44(7–8), 229–236 (1992)
25.
Trinh Chat, L.V.U.: Calculation of Mechanical Driven Systems. Education Publisher (2008). (in Vietnamse)
Metadata
Title
Determining Optimum Gear Ratios for a Four-Stage Helical Gearbox for Getting Minimum Gearbox Cost
Authors
Nguyen Huu Quang
Nguyen Thanh Tu
Nguyen Hong Linh
Nguyen Huu Luan
Le Hoang Anh
Nguyen Anh Tuan
Tran Ngoc Giang
Vu Ngoc Pi
Copyright Year
2022
Book
Advances in Engineering Research and Application

Print ISBN: 978-3-030-92573-4

Electronic ISBN: 978-3-030-92574-1

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-030-92574-1_36

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