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TECHNICAL PAPERS

Pitch Cone Design and Avoidance of Contact Envelope and Tooth Undercutting for Conical Worm Gear Drives

[+] Author and Article Information
Yi Zhang, Hai Xu

Department of Mechanical Engineering, The University of Michigan-Dearborn, Dearborn, MI 48128e-mail: anding@umich.edu

J. Mech. Des 125(1), 169-177 (Mar 21, 2003) (9 pages) doi:10.1115/1.1539506 History: Received December 01, 2001; Revised April 01, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Colbourne, J. R., 1989, The Use of Oversize Hobs to Cut Worm Gears, AGMA, Virginia.
Fang,  H. S., and Tsay,  C. B., 1996, “Effects of The Hob Cutter Regrinding and Setting on ZE-Type Worm Gear Manufacture,” Int. J. Mach. Tools Manuf., 36(10), pp. 1123–1135.
Zhang,  Y., and Wu,  Z., 1997, “Offset Face Gear Drives: Tooth Geometry and Contact Analysis,” ASME J. Mech. Des., 119(1), pp. 114–119.
Seol,  I. H., and Litvin,  F. L., 1996, “Computerized Design, Generation and Simulation of Meshing and Contact of Worm-Gear Drives with Improved Geometry,” Computer Methods in Applied Mechanics and Engineering, 138, pp. 73–103.
Zheng,  C., Lei,  J., and Savage,  M., 1989, “A General Method for Computing Worm Gear Conjugate Mesh Property: Part I, The Generating Surface,” ASME J. Mech. Des., 111, pp. 143–147.
Litvin,  F. L., and Kin,  V., 1992, “Computerized Simulation of Meshing and Bearing Contact for Single-enveloping Worm-gear Drives,” ASME J. Mech. Des., 114, pp. 313–316.
Simon, V., 1992, “Study of Characteristics of Double-Enveloping Worm-gear Drives,” ASME International Power Transmission Gearing Conference. Vol. 1, pp. 73–76.
Litvin,  F. L., and Hsiao,  C. L., 1993, “Computerized Simulation of Meshing and Contact of Enveloping Gear Tooth Surfaces,” Comput. Methods Appl. Mech. Eng., 102, pp. 337–366.
Seol,  I. H., 2000, “The Design, Generation, and Simulation of Worm-Gear Drive With Longitudinally Localized Contacts,” ASME J. Mech. Des., 122, pp. 201–206.
Litvin,  F. L., Peng,  A., and Wang,  A., 1999, “Limitation of Gear Tooth Surfaces by Envelopes to Contact Lines and Edge of Regression,” Mech. Mach. Theory, 34(6), pp. 889–902.
Litvin,  F. L., Kin,  V., and Zhang,  Y., 1990, “Limitations of Conjugate Gear Tooth Surfaces,” ASME J. Mech. Des., 112, pp. 230–236.
Chen,  N. X., 2000, “Edges of Regression and Limit Normal Point of Conjugate Surfaces,” ASME J. Mech. Des., 122, pp. 419–425.
Litvin,  F. L., Egelja,  A. M., and De Donno,  M., 1998, “Computerized Determination of Singularities and Envelopes to Families of Contact Lines on Gear Tooth Surfaces,” Comput. Methods Appl. Mech. Eng., 158(1–2), pp. 23–34.
Sarri, O. E., Speed-Reduction Gearing, Patent No. 2,696,125, United States patent Office, 1954.
Goldfarb, V., 1995, “Theory of Design and Practice of Development of Spiroid Gearing,” Proc. Of Congress Gear Transmissions’95, Sofia, Vol. 2, pp. 1–5.
Abadjiev,  V., and Petrova,  D., 1997, “Testing of the Kinematic Conjugation of the Flanks Active Surface of Gear-Pairs of Type Spiroid,” Mech. Mach. Theory, 32(3), pp. 343–348.
Litvin,  F. L., and De Donno,  M., 1998, “Computerized Design and Generation of Modified Spiroid Worm-gear Drive with Low Transmission Errors and Stabilized Bearing Contact,” Comput. Methods Appl. Mech. Eng., 162, pp. 187–201.
Litvin,  F. L., Argentieri,  G., De Donno,  M., and Hawkins,  M., 2000, “Computerized Design, Generation and Simulation of Meshing and Contact of Face Worm Gear Drives,” Comput. Methods Appl. Mech. Eng., 189, pp. 785–801.
Su, Daizhong, Song, Yongle, and Gentle, Richard C., 2000, “A Novel Approach of Obtaining Localized Tooth Contact for Spiroid Gear Drives,” ASME 2000 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Baltimore, September 10–13.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, New Jersey.

Figures

Grahic Jump Location
Assembly of conical worm gear drive and the pitch cones
Grahic Jump Location
Coordinate systems attached to the blade and the worm
Grahic Jump Location
Coordinate systems applied for the gear cutting process
Grahic Jump Location
Contact envelope, limit line and limit point on the coast side
Grahic Jump Location
Contact envelope, limit line and limit point on the driving side
Grahic Jump Location
Contact lines mapped on worm and gear tooth surface
Grahic Jump Location
Conical worm gear drive solid models

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