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TECHNICAL PAPERS

Computer Aided Design of Elliptical Gears

[+] Author and Article Information
Biing-Wen Bair

Department of Mechanical Engineering, National Lien Ho Institute of Technology, 1 Lien-Kung, Kung-Ching Li, Miao Li, Taiwan 360, R.O.C.

J. Mech. Des 124(4), 787-793 (Nov 26, 2002) (7 pages) doi:10.1115/1.1485092 History: Received November 01, 2000; Online November 26, 2002
Copyright © 2002 by ASME
Topics: Gears
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References

Miller,  F. H., and Young,  C. H., 1945, “Proportions of Elliptic Gears for Quick Return Mechanism,” Prod. Eng. (N.Y.), 16(7), pp. 462–464.
Chironis, N. P., 1967, Gear Design and Application, McGraw-Hill, New York.
Bernett,  T., 1967, “Elliptical Gears for Irregular Motion,” Mech. Eng. (Am. Soc. Mech. Eng.), 89(6), pp. 33–39.
Katori,  H., Yokogawa,  K., and Hayashi,  T., 1994, “A Simplified Synthetic Design Method of Pitch Curves Based on Motion Specifications for Noncircular Gears,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 60(570), pp. 668–674.
Tong,  S. H., and Yang,  C. H., 1998, “Generation of Identical Noncircular Pitch Curves,” ASME J. Mech. Des., 120(2), pp. 337–341.
Freudenstein,  F., and Chen,  C. K., 1991, “Variable-Ratio Chain Drives with Noncircular Sprockets and Minimum Slack-Theory and Application,” ASME J. Mech. Des., 113, pp. 253–262.
Emura,  T., and Arakawa,  A., 1992, “A New Steering Mechanism Using Noncircular Gears,” JSME Int. J., Ser. III, 35(4), pp. 604–610.
Kuczewski,  M., 1988, “Designing Elliptical Gears,” Mach. Des., , April pp. 166–168.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice-Hall, New-Jersey.
Chang,  S. L., Tsay,  C. B., and Wu,  L. I., 1996, “Mathematical Model and Undercutting Analysis of Elliptical Gears Generated by Rack Cutter,” Mech. Mach. Theory, 31(7), pp. 879–890.
Pedrero,  J. I., Artes,  M., and Garcia-Prada,  J. C., 1996, “Determination of the Addendum Modification Factors for Gears with Pre-established Contact Ratio,” Mech. Mach. Theory, 31(7), pp. 937–945.
Liou,  C. H., Lin,  H. H., Osward,  F. B., and Townsend,  D. P., 1996, “Effect of Contact Ratio on Spur Gear Dynamic Load With No Tooth Profile Modifications,” ASME J. Mech. Des., 118, pp. 439–443.
Bair,  B. W., and Tsay,  C. B., 1998, “ZK-Type Dual-Lead Worm and Worm Gear Drives: Contact Teeth, Contact Ratios and Kinematic Errors,” ASME J. Mech. Des., 120(3), pp. 422–428.
Litvin, F. L., 1989, Theory of Gearing, NASA Reference Publication RP-1212, Washington D.C.
Wu, X., Wang, S., and Yang, A., 1991, “Non-Circular Gear CAD/CAM Technology,” 8th World Congress on the Theory of Machines and Mechanisms, Prague, Czechoslovakia, pp. 391–394.

Figures

Grahic Jump Location
Normal section of rack cutter Σp for generating the driving elliptical gear
Grahic Jump Location
Kinematic relationship between rack cutter and generated gear
Grahic Jump Location
Tangent line of the ellipse
Grahic Jump Location
Normal section of rack cutter Σg for generating the driven elliptical gear
Grahic Jump Location
Elliptical gear with tooth undercutting and pointed teeth
Grahic Jump Location
Computer graph of the driving elliptical gear  
Grahic Jump Location
Computer graph of the driven elliptical gear  

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