Optimal Calculation of Partial Transmission Ratios of Four-Step Helical Gearboxes for Getting Minimal Gearbox Length
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:63625", author = "Vu Ngoc Pi", title = "Optimal Calculation of Partial Transmission Ratios of Four-Step Helical Gearboxes for Getting Minimal Gearbox Length", 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.", volume = "2", number = "1", pages = "120-4", }