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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:57911", author = "Vu Ngoc Pi", title = "A Study on Optimal Determination of Partial Transmission Ratios of Helical Gearboxes with Second-Step Double Gear-Sets", abstract = "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.", keywords = "Gearbox design, optimal design, helical gearbox,transmission ratio.", volume = "2", number = "1", pages = "54-4", }