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TECHNICAL PAPERS

Gear Contact Model and Loaded Tooth Contact Analysis of a Three-Dimensional, Thin-Rimmed Gear

[+] Author and Article Information
Shuting LI

Teijin Seiki Co., Ltd., Oak-Hills 202, Heki-cho 7028-2, Hisai-shi, Mie-ken, 514-1138, Japan

J. Mech. Des 124(3), 511-517 (Aug 06, 2002) (7 pages) doi:10.1115/1.1485290 History: Received May 01, 2000; Revised September 01, 2001; Online August 06, 2002
Copyright © 2002 by ASME
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References

Oda,  S., Sayama,  T., and Simatomi,  T., 1979, “Study on Welded Structure Gears (1st Report, Effects of Rim Thickness on Root Stress and Bending Fatigue Strength (In Japanese),” Bull. JSME, 45(393), pp. 575–583.
Arai,  N., Harada,  S., and Aida,  T., 1981, “Study on Bending Strength of a Thin-rimmed Spur Gear (In Japanese),” Bull. JSME, 47(413), pp. 47–56.
Ishida,  T., Hidaka,  T., and Takizawa,  H., 1985, “Bending Stress Analysis of Idle Gear with Thin Rim (Effects of Rim Thickness on Stresses) (In Japanese),” Bull. JSME, 51(462), pp. 359–365.
Ishida,  T., and Hidaka,  T., 1994, “Stress of Planet Gear with Thin Rim,” Gear Technology, 11(2), pp. 26–31.
Tessema, Abiy, Walton, Doug, and Weale, David, 1995, “Effect of Web and Flange Thickness on Nonmetallic Gear Performance,” Gear Technology, Nov./Dec., pp. 30–35.
Graziano, Curti, and Raffa, Francesco A., 1991, “Three-dimensional Stress Analysis of Thin-rimmed Gears by the p-FEM Approach,” MPT’91 JSME International Conference on Motion and Power Transmissions, Hiroshima, Japan, pp. 787–7940.
Conry,  T. F., and Serireg,  A., 1971, “A Mathematical Programming Method for Design of Elastic Bodies in Contact,” ASME J. Appl. Mech., 6, pp. 387–392.
Conry,  T. F., and Serireg,  A., 1973, “A Mathematical Programming Method for Evaluation of Load Distribution and Optimal Modifications for Gear System,” ASME J. Ind., 11, pp. 1115–1122.
Ji, Mingang, 1980, “A Method for Contact Analysis of Elastic Bodies using FEM and A Mathematical Programming Method (In Chinese),” Research Report of Northwestern Polytechnical University, No. SHJ8032, pp. 1–18.
Prabhu,  M. S., and Houser,  D. D. R., 1996, “A Hybrid Finite Element Approach for Analyzing the Load Distribution and Transmission Error in Thin-Rimmed Gears,” VDI-Ber., 1230, pp. 201–210.
Dorn,  W. S., 1961, “Self-Dual Quadratic Programs, Society of Industrial and Applied Mathematics,” Journal on Applied Mathematics, 9, pp. 51–54.
Rosen,  J. B., 1960, “The Gradient Projection Method for Nonlinear Programming,” Society of Industrial and Applied Mathematics, Journal on Applied Mathematics, 8, pp. 181–217.
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Hiramoto, Iwo, and Nagatani, Akiraka, 1973, Methods of Linear Programming (In Japanese), pp. 7–46, Baifuukann Press.
Liu, Degui, and Fei, Jinggao, 1983, FORTRAN Arithmetical Methods and Programs (In Chinese), National Defense Industry Press, pp. 372–391.
Liu, Geng, 1994, Structural Dynamics of The Finite Element Method (In Chinese), National Defense Industry Press. pp. 39–61.
He, Qiong, 1981, “An Improved Three-Dimensional, 8-nodes Non-Compatibility Solid Element (In Chinese),” Journal of Shanghai Jiaotong University, 4 .
Chen, Wanji, 1982, “A Hexahedral Solid Element of High Accuracy (In Chinese),” Journal of Mechanics, 3 .
Li, Shuting, 1998, “Fundamental Studies of Analyzing the Tooth-Load Distribution of Three-dimensional, Thin-Rimmed Gears with Assembly Errors (In Japanese),” Doctoral Dissertation, Yamaguchi University.

Figures

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Face-contact model of gears
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Contact model of elastic bodies
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Structure of a pair of spur gears
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Tooth contact model and FEM meshes
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Tooth load of one tooth engagement
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Tooth load of two teeth engagement
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Strain gauge positions in tooth root
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Power-circulating test rig
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Tooth root strains comparison
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Tooth contact pattern comparison
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Load distribution comparison

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