This study presents two mathematical models of concave beveloid gears ground by Mitome’s grinding method and by the novel grinding method proposed by the authors. Based on the developed mathematical models, the contact simulations are performed and the characteristics of concave beveloid gear pairs are investigated. Simulation results indicate that our novel grinding method ameliorates the drawback of Mitome’s grinding method by eliminating the transmission error of the helical concave beveloid gear pairs. In contrast to conventional beveloid gear pairs, the gears ground by the proposed novel grinding method not only have larger contact ellipses, but also mesh conjugately with non-parallel axes, although assembly errors exist.
Issue Section:
Technical Papers
1.
Mitome
, K.
, 1981
, “Table Sliding Taper Hobbing of Conical Gear Using Cylindrical Hob, Part 1: Theoretical Analysis of Table Sliding Taper Hobbing
,” ASME J. Ind.
, 103
, pp. 446
–451
.2.
Mitome
, K.
, 1985
, “Conical Involute Gear, Part 3: Tooth Action of a Pair of Gears
,” Bull. JSME
, 28
(245
), pp. 2757
–2764
.3.
Mitome
, K.
, 1986
, “Inclining Work-Arbor Taper Hobbing of Conical Gear Using Cylindrical Hob
,” ASME J. Mech. Des.
, 108
, pp. 135
–141
.4.
Mitome
, K.
, 1991
, “Conical Involute Gear (Design of Nonintersecting-Nonparallel-Axis Conical Involute Gear)
,” JSME Int. J., Ser. III
, 34
(2
), pp. 265
–270
.5.
Mitome
, K.
, 1993
, “Infeed Grinding of Straight Conical Involute Gear
,” JSME International Journal, Series C
, 36
(4
), pp. 537
–542
.6.
Mitome, K., Ohmachi, T., Komatsubara, H., and Tamura, T., 1999, “Generating of Straight Concave Conical Gear,” Proceedings, 4th World Cong. on Gearing Power Transmission, Paris, pp. 851-858.
7.
Komatsubara, H., Mitome, K., Ohmachi, T., and Watanabe, H., 1999, “Development of Concave Conical Gear Used for Marine Transmission,” Proceedings, 4th World Cong. on Gearing Power Transmission, Paris, pp. 683-695.
8.
Litvin, F. L., 1989, Theory of Gearing, NASA Publication RP-1212, Washington D.C.
9.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, New Jersey.
Copyright © 2002
by ASME
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