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TECHNICAL PAPERS

Differential Geometrical Conditions of Hypoid Gears with Conjugate Tooth Surfaces

[+] Author and Article Information
Norio Ito

Department of Engineering, Toyama University, Toyama, Japan

Koichi Takahashi

J. Mech. Des 122(3), 323-330 (Jul 01, 1998) (8 pages) doi:10.1115/1.1286236 History: Received July 01, 1998
Copyright © 2000 by ASME
Topics: Gears , Equations
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References

Gosselin,  C., Nonaka,  T., Shiono,  Y., Kubo,  A., and Tatsuno,  T., 1998, “Identification of the Machine Settings of Real Hypoid Gear Tooth Surfaces,” ASME J. Mech. Des., 120, pp. 429–440.
Litvin,  F. L., Wang,  A. G., and Handscuh,  R. F., 1998, “Computerized Generation and Simulation of Meshing and Contact of Spiral Bevel Gears with Improved Geometry,” Comput. Methods Appl. Mech. Eng., 158, pp. 35–64.
Litvin,  F. L., Wang,  A. G., and Handschuh,  R. F., 1996, “Computerized Design and Analysis of Face-Milled, Uniform Tooth Height Spiral Bevel Gear Drives,” ASME J. Mech. Des., 118, pp. 573–579.
Simon, V., 1996, “Tooth Contact Analysis of Mismatched Hypoid Gears,” Power Transmission and Gearing Conference ASME, DE-Vol. 88, pp. 789–798.
Lin,  C. Y., Tsay,  C. B., and Fong,  Z. H., 1996, “Contact Pattern Development of Spiral Bevel and Hypoid Gears by Applying Optimization Techniques,” J. CSME, 17, No. 5, pp. 413–424.
Wang,  X. C., and Chosh,  S. K., 1994, “An Optimal Synthesis of Spiral Bevel and Hypoid Gears,” Eur. J. Mech. Eng., 39, No. 1, pp. 3–8.
Simon, V., Optimization of the Geometry and Kinematics of the Hypoid Gears, 1979, ASME Proceedings of the 5th World Congress on Theory of Machines and Mechanisms, pp. 1148–1153.
Chen,  N., “Curvatures and Sliding Ratios of Conjugate Surfaces,” 1998, ASME J. Mech. Des., 120, pp. 126–132.
Handschuh, R. F., and Litvin, F. L., 1991, “How to Determine Spiral Bevel Gear Tooth Geometry for Finite Element Analysis,” JSME International Conference on Motion and Power Transmissions, pp. 704–710.
Kubo,  A., Tarutani,  I., Gosselin,  C., Nonaka,  T., Aoyama,  N., and Wang,  Z., 1997, “A Computer Based Approach for Evaluation of Operating Performances of Bevel and Hypoid Gears,” JSME Int. J. Ser. C., 40, No. 4, pp. 749–758.
Fong,  Z. H., and Tsay,  C. B., 1991, “A Mathematical Model for the Tooth Geometry of Circular-Cut Spiral Bevel Gears,” ASME J. Mech. Des., 113, pp. 174–181.
Simon,  V., 1998, “The Influence of Misalignments on Mesh Performances of Hypoid Gears,” Mech. Mach. Theory, 33, pp. 1277–1291.
Wildhaber, E., 1946, “Tooth Contact,” Am. Mach., June 6, pp. 110–114.

Figures

Grahic Jump Location
Contact line and slip line on conjugate tooth surfaces
Grahic Jump Location
Curves and principal directions of surface
Grahic Jump Location
Contact line of tooth surfaces and coordinate systems
Grahic Jump Location
Kinematics coordinate system
Grahic Jump Location
Curve and geodesic lines on surface
Grahic Jump Location
Tooth surfaces mesh on pitch plane

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