This paper performs loaded tooth contact analysis of a three-dimensional, thin-rimmed gear (3DTRG) by presenting a method that combines the mathematical programming method with the three-dimensional, finite element method (3DFEM). Also, a face-contact and whole gear deformation model is used for the 3DTRG. 3DFEM programs for the contact analysis and strength calculation of the 3DTRG are developed successfully in a personal computer. By using this program, 3D tooth load distributions, tooth root strains and the tooth contact pattern of the 3DTRG are obtained. Calculation results are proved to be correct by experiments.
Issue Section:
Technical Papers
1.
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
.2.
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
.3.
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
.4.
Ishida
, T.
, and Hidaka
, T.
, 1994
, “Stress of Planet Gear with Thin Rim
,” Gear Technology
, 11
(2
), pp. 26
–31
.5.
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.
6.
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.
7.
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
.8.
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
.9.
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.
10.
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
.11.
Dorn
, W. S.
, 1961
, “Self-Dual Quadratic Programs, Society of Industrial and Applied Mathematics
,” Journal on Applied Mathematics
, 9
, pp. 51
–54
.12.
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
.13.
Wolfe
, P.
, 1959
, “The Simplex Method for Quadratic Programming
,” Econometrica
, 27
, pp. 382
–398
.14.
Hiramoto, Iwo, and Nagatani, Akiraka, 1973, Methods of Linear Programming (In Japanese), pp. 7–46, Baifuukann Press.
15.
Liu, Degui, and Fei, Jinggao, 1983, FORTRAN Arithmetical Methods and Programs (In Chinese), National Defense Industry Press, pp. 372–391.
16.
Liu, Geng, 1994, Structural Dynamics of The Finite Element Method (In Chinese), National Defense Industry Press. pp. 39–61.
17.
He, Qiong, 1981, “An Improved Three-Dimensional, 8-nodes Non-Compatibility Solid Element (In Chinese),” Journal of Shanghai Jiaotong University, 4.
18.
Chen, Wanji, 1982, “A Hexahedral Solid Element of High Accuracy (In Chinese),” Journal of Mechanics, 3.
19.
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.
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