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TECHNICAL PAPERS

Mathematical Model and Surface Deviation of Helipoid Gears Cut by Shaper Cutters

[+] Author and Article Information
Jun-Long Wu

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan 30010, R.O.C.

Chia-Chang Liu

Department of Mechanical Engineering, Ching Yun Institute of Technology, Jung-Li, Taiwan, 320, R.O.C.

Chung-Biau Tsay, Shigeyoshi Nagata

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan 30010, R.O.C.Department of Mechanical Engineering, Nippon Institute of Technology, Saitama 345-8051, Japan

J. Mech. Des 125(2), 351-355 (Jun 11, 2003) (5 pages) doi:10.1115/1.1564570 History: Received November 01, 2001; Online June 11, 2003
Copyright © 2003 by ASME
Topics: Gears , Equations
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References

Shtipelman, B. A., 1978, Design and Manufacture of Hypoid Gears, John Wiley and Sons, New York.
Litvin,  F. L., and Gutman,  Y., 1981, “Methods of Synthesis and Analysis for Hypoid Gear-Drives of ‘Formate’ and ‘Helixform’, Parts 1, 2 and 3,” ASME J. Mech. Des., 103(1), pp. 83–113.
Huston,  R. L., and Coy,  J. J., 1981, “Ideal Spiral Bevel Gears—A New Approach to Surface Geometry,” ASME J. Mech. Des., 103(4), pp. 127–133.
Litvin,  F. L., Zhang,  Y., Lundy,  M., and Heine,  C., 1988, “Determination of Setting of a Tilted Head Cutter for Generation of Hypoid and Spiral Bevel Gears,” ASME J. Mech., Transm., Autom. Des. 110(4), pp. 495–500.
Litvin,  F. L., Zhang,  Y., Kieffer,  J., and Handschuh,  R. F., 1991, “Identification and Minimization of Deviations of Real Gear Tooth Surfaces,” ASME J. Mech. Des., 113(1), pp. 55–62.
Litvin,  F. L., Kuan,  C., Wang,  J. C., Handschuh,  R. F., Masseth,  J., and Maruyama,  N., 1993, “Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements,” ASME J. Mech. Des., 115(4), pp. 995–1001.
Zhang,  Y., Litvin,  F. L., Maruyama,  N., Takeda,  R., and Sugimoto,  M., 1994, “Computerized Analysis of Meshing and Contact of Gear Real Tooth Surfaces,” ASME J. Mech. Des., 116(3), pp. 677–682.
Lin,  C. Y., Tsay,  C. B., and Fong,  Z. H., 1998, “Computer-Aided Manufacturing of Spiral Bevel and Hypoid Gears with Minimum Surface-Deviation,” Mech. Mach. Theory, 33(6), pp. 785–803.
Watson, H. J., 1970, Modern Gear Production, Pergamon Press, Oxford.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, New Jersey.
Chang,  S. L., Tsay,  C. B., and Nagata,  S., 1997, “A General Mathematical Model for Gears Cut by CNC Hobbing Machines,” ASME J. Mech. Des., 119(1), pp. 108–113.
Tsay,  C. B., 1988, “Helical Gears with Involute Shaped Teeth: Geometry, Computer Simulation, Tooth Contact Analysis and Stress Analysis,” ASME J. Mech., Transm., Autom. Des. 110(4), pp. 482–491.
Tsay,  C. B., Liu,  W. Y., and Chen,  Y. C., 2000, “Spur Gear Generation by Shaper Cutters,” J. Mater. Process. Technol. 104, pp. 271–279.

Figures

Grahic Jump Location
Two mating hyperboloids contact each other along a straight line
Grahic Jump Location
(a) Cutting edge of the involute-shape shaper cutter and (b) the relationships between the shaper cutter and the normal section
Grahic Jump Location
Cutting mechanism and relationship between the shaper cutter and the gear blank
Grahic Jump Location
Coordinate systems between the shaper cutter and generated gear
Grahic Jump Location
Computer graph of the helipoid gear
Grahic Jump Location
Different tooth profiles of the helipoid gears generated by 24-tooth, 48-tooth and 960-tooth shaper cutters

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