Mathematical Model of Universal Hypoid Generator With Supplemental Kinematic Flank Correction Motions

[+] Author and Article Information
Zhang-Hua Fong

National Chung-Cheng University, Department of Mechanical Engineering, 160 San-Hsin, Chia Yi 621, Taiwan, R.O.C.e-mail: imezhf@ccunix.ccu.edu.tw

J. Mech. Des 122(1), 136-142 (Jan 01, 2000) (7 pages) doi:10.1115/1.533552 History: Received May 01, 1999; Revised January 01, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Litvin,  F. L., and Gutman,  Y., 1981, “Methods of Synthesis and Analysis for Hypoid Gear-Drives of “Formate” and “Helixform”, Part 1, 2, and 3,” ASME J. Mech. Des., 103, No. 1, pp. 83–113
Litvin, F. L., 1989, Theory of Gearing, NASA RP-1212, Washington DC.
Litvin, F. L., Zhang Y., and Lundy M., 1989, “Determination of Settings of a Tilted Head Cutter for Generation of Hypoid and Spiral Bevel Gears,” ASME PTG.
Litvin, F. L., and Zhang Y., 1991, Local Synthesis and Tooth Contact Analysis of Face-Milled Spiral Bevel Gears,” NASA Technical Report 90-C-028, Washington DC.
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, pp. 995–1001.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Englewood Cliffs, NJ 07632, pp. 631–632.
Huston,  R. L., and Coy,  J. J., 1982, “Surface Geometry of Circular-Cut Spiral Bevel Gears,” ASME J. Mech. Des., 104, No. 4, pp. 743–748.
Krenzer, T. J., 1984, “Computer Aided Corrective Machine Settings for Manufacturing Bevel and Hypoid Gears,” AGMA paper 84FTM4.
Gosselin,  C. J., and Cloutier,  L., 1993, “The Generating Space for Parabolic Motion Error of Spiral Bevel Gears Cut by the Gleason Method,” ASME J. Mech. Des., 115, No. 3, pp. 483–489.
Gosselin, C., Shiono, Y., Nonaka, T., and Kubo, A., 1996, “A Computer Based Approach Aimed at Reproducing Master Spiral Bevel and Hypoid Pinions and Gears,” AGMA paper 96FTM1.
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.
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, No. 1, pp. 174–181.
Fong,  Z. H., and Tsay,  C. B., 1991, “A Study on the Tooth Geometry and Cutting Machine Mechanism of Spiral Bevel Gears,” ASME J. Mech. Des., 113, No. 2, pp. 346–351.
Lin,  C. Y., Tsay,  C. B., and Fong,  Z. H., 1997, “Mathematical Model of Spiral Bevel and Hypoid Gears Manufactured by the Modified Roll Method,” Mechanism and Machine Theory, 32, No. 2, pp. 121–136.
Lin,  C. Y., Tsay,  C. B., and Fong,  Z. H., 1998, “Computer-Aided Manufacturing of Spiral Bevel and Hypoid Gears with Minimum Surface Deviation,” Mechanism and Machine Theory, 33, No. 6, pp. 785–803.
Stadtfeld, H. J., 1993, Handbook of Bevel and Hypoid Gears, Rochester Institute of Technology, p. 38.
Davidov,  Y., 1998, “General Idea of Generating Mechanism and its Application to Bevel Gears,” Mechanism and Machine Theory, 33, No. 5, pp. 505–515.
Shunmugam,  M. S., Rao,  B. S., and Jayaprakash,  V., 1998, “Establishing Gear Tooth Surface Geometry and Normal Deviation, Part II-bevel Gears,” Mechanism and Machine Theory, 33, No. 5, pp. 525–534.
Schaber, G., Spiral Bevel/Hypoid Gear Cutting Technology, Klingelnberg/Oerlikon Bevel Gear Seminar by the SIGMA-Pool.


Grahic Jump Location
Palloid bevel-worm-shaped hobbing method
Grahic Jump Location
Coordinate systems of the proposed mathematical model
Grahic Jump Location
Tooth surfaces of the numerical example
Grahic Jump Location
Tooth surface topology comparison between theoretical data and measured data



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In