Optimal Calculation of Partial Transmission Ratios of Four-Step Helical Gearboxes for Getting Minimal Gearbox Length

Authors: Vu Ngoc Pi

Abstract:

This paper presents a new study on the applications of optimization and regression analysis techniques for optimal calculation of partial ratios of four-step helical gearboxes for getting minimal gearbox length. In the paper, basing on the moment equilibrium condition of a mechanic system including four gear units and their regular resistance condition, models for determination of the partial ratios of the gearboxes are proposed. In particular, explicit models for calculation of the partial ratios are proposed by using regression analysis. Using these models, the determination of the partial ratios is accurate and simple.

Keywords: Gearbox design; optimal design; helical gearbox, transmission ratio.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1083327

References:

[1] V.N. Kudreavtev; I.A. Gierzaves; E.G. Glukharev, Design and calculus of gearboxes (in Russian), Mashinostroenie Publishing, Sankt Petersburg, 1971.
[2] Trinh Chat, Optimal calculation the total transmission ratio of helical gear units (in Vietnamese), Scientific Conference of Hanoi University of Technology, 1996, pp. 74-79.
[3] A. N. Petrovski, B.A. Sapiro, N.K. Saphonova, About optimal problem for multi-step gearboxes (in Russian), Vestnik Mashinostroenie, No. 10, 1987, pp. 13-14.
[4] G. Milou; G. Dobre; F. Visa; H. Vitila, Optimal Design of Two Step Gear Units, regarding the Main Parameters, VDI Berichte No 1230, 1996, pp. 227-244.
[5] Vu Ngoc Pi, A new method for optimal calculation of total transmission ratio of two step helical gearboxes, The Nation Conference on Engineering Mechanics, Hanoi, 2001, pp. 133- 136.
[6] Romhild I. , Linke H., Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren, Konstruktion 44, 1992, pp. 229- 236.
[7] Vu Ngoc Pi, Nguyen Dang Binh, Vu Quy Dac, Phan Quang The, Optimal calculation of total transmission ratio of three-step helical gearboxes for minimum mass of gears (In Vietnamese), Journal of Science and Technology of Six Engineering Universities, Vol. 55, 2006, pp. 91-93.
[8] Trinh Chat, Le Van Uyen, Design and calculus of Mechanical Transmissions (in Vietnamese), Educational Republishing House, Hanoi , 1998.