A Study on Optimal Determination of Partial Transmission Ratios of Helical Gearboxes with Second-Step Double Gear-Sets

In this paper, a study on the applications of the optimization and regression techniques for optimal calculation of partial ratios of helical gearboxes with second-step double gear-sets for minimal cross section dimension is introduced. From the condition of the moment equilibrium of a mechanic system including three gear units and their regular resistance condition, models for calculation of the partial ratios of helical gearboxes with second-step double gear-sets were given. Especially, by regression analysis, explicit models for calculation of the partial ratios are introduced. These models allow determining the partial ratios accurately and simply.

Authors:



References:
[1] V. N. Kudreavtev; I.A. Gierzaves; E.G. Glukharev, Design and calculus
of gearboxes (in Russian), Mashinostroenie Publishing, Sankt Petersburg,
1971.
[2] 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.
[3] 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.
[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] Romhild I. , Linke H., Gezielte Auslegung Von Zahnradgetrieben mit
minimaler Masse auf der Basis neuer Berechnungsverfahren,
Konstruktion 44, 1992, pp. 229- 236.
[6] 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.
[7] Trinh Chat, Le Van Uyen, Design and calculus of Mechanical
Transmissions (in Vietnamese), Educational Republishing House, Hanoi ,
1998.