A Finite-Element-Based Study of the Load Distribution of a Heavily Loaded Spur Gear System With Effects of Transmission Shafts and Gear Blanks

[+] Author and Article Information
Tian Yong-tao, Li Cong-xin

Dept. of Plasticity Eng., Shanghai Jiaotong Univ., Shanghai 200030, China

Tong Wei, Wu Chang-hua

Dept. of Mechanical Eng., Dalian Railway Institute, Dalian 116028, China

J. Mech. Des 125(3), 625-631 (Sep 04, 2003) (7 pages) doi:10.1115/1.1584689 History: Received October 01, 2001; Revised October 01, 2002; Online September 04, 2003
Copyright © 2003 by ASME
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William, C. O., 1992, Machine Component Design, Vol. II, JAICO Publishing House, Mumbai.
Robert, O. P., 1985, Mechanical Components Handbook, McGraw-Hill, New York.
Wilcox,  L., and Coleman,  W., 1973, “Application of Finite Elements to the Analysis of Gear Tooth Stresses,” ASME J. Eng. Ind., 95, pp. 1139–1148.
Oda,  S., Nagamura,  K., and Aoki,  K., 1981, “Stress Analysis of Thin Rim Spur Gears by Finite Element Method,” Bull. JSME, 24, pp. 1273–1280.
Chang,  S. H., Huston,  R. L., and Coy,  J. J., 1983, “A Finite Element Stress Analysis of Spur Gear Including Fillet Radii and Rim Thickness Effects,” ASME J. Mech., Transm., Autom. Des., 105, pp. 327–330.
Chong,  T. H., and Kubo,  A., 1985, “Simple Stress Formulas for a Thin Rimmed Spur Gear,” ASME J. Mech., Transm., Autom. Des., 107, pp. 406–423.
Bibel,  G. D., Reddy,  S. K., Savage,  M., and Handschuh,  R. F., 1994, “Effects of Rim Thickness on Spur Gear Bending Stress,” ASME J. Mech. Des., 116, pp. 1157–1162.
Sayama,  T., Oda,  S., Umezawa,  K., and Makuta,  H., 1984, “Study on Welded Structure Gears,” Bull. JSME, 27, pp. 1765–1779.
Ramamurti,  V., Vijayendra,  N. H., and Sujatha,  C., 1998, “Static and Dynamic Analysis of Spur and Bevel Gears Using FEM,” Mech. Mach. Theory, 33, pp. 1177–1193.
Hayashi,  K., and Sayama,  T., 1963, “Load Distribution on Contact Line of Helical Gear Teeth,” Bull. JSME, 6, pp. 336–353.
Schmidt, G. R., “Optimum Tooth Profile Correction of Helical Gears,” ASME paper 80-C2/Det-110.
Tobe, T., and Katsumi, I., 1980, “Longitudinal Load Distribution Factor for Straddle and Overhang-Mounted Spur Gears,” ASME pap. 80-C2/Det-45, p. 8.
Steward,  J. H., 1990, “The Compliance of Solid, Wide-Faced Spur Gears,” ASME J. Mech. Des., 112, pp. 590–595.
Haddad, C. D., 1991, “The Elastic Analysis of Load Distribution in Wide-faced Helical Gears,” PhD dissertation, University of Newcastle.
Noor,  A. K., and Peter,  J. M., 1994, “Recent Advances and Applications of Reduction Methods,” Appl. Mech. Rev., 47, pp. 125–146.
Craig, R. R., Jr., 1981, Structural Dynamics—An Introduction to Computer Methods, John Wiley & Sons, New York.
Hale,  A. L., 1984, “Substructure Synthesis and its Iterative Improvement for Large Nonconservative Vibratory Systems,” IAAA Journal,22, pp. 265–272.
Zhong,  W. X., 1985, “On Variational Principles of Elastic Contact Problems and Parametric Quadratic Programming Solution,” (in Chinese), Comp. Struct. Mech. Appl.,2, pp. 1–10.
Zhong,  W. X., and Sun,  S. M., 1988, “A Finite Element Method for Elastic-Plastic Structures and Contact Problems by Parametric Quadratic Programming,” Int. J. Numer. Methods Eng., 26, pp. 2723–2738.
Torstenfelt,  B., 1983, “Contact Problems With Friction in General Purpose Finite Element Computer Programs,” Comput. Struct., 16, pp. 487–493.
Tostinfelt,  B. R., 1984, “An Automatic Incrementation Technique for Contact Problem With Friction,” Comput. Struct., 19, pp. 393–400.
Okamato,  N., and Nakasawa,  M., 1979, “Finite Element Incremental Contact Analysis With Various Frictional Conditions,” Int. J. Numer. Methods Eng., 14, pp. 337–357.
Klarbring,  A., 1986, “A Mathematical Programming Approach to Three Dimension Contact Problems With Friction,” Comput. Methods Appl. Mech. Eng., 58, pp. 175–200.
ISO/DP6336/I∼III, 1980, Basic Principles for Calculation of Load Capacity of Spur and Helical Gears.
Jaramillo,  T. J., 1950, “Deflection and Moments to a Concentrated Load and Cantilever Plate of Infinite Length,” ASME J. Appl. Mech., 17, pp. 67–72.
Seager,  D. L., 1970, “Tooth Loading and Static Behavior of Helical Spur Gear,” Trans. ASLE,13, pp. 66–77.
Monch,  E., and Roy,  A. K., 1958, “Photoelastic Investigation of Helical Spur Gear,” Engineering’s Digest,19, pp. 53–57.
Duley, D. W., 1984, Handbook of Practical Gear Design, McGraw-Hill, New York.


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Illustration of mechanism of substructure technology
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Structure of gear system; (a) Sketch of the gear system, (b) basic substructures (c) entire FE model of the gear system, and (d) the side view of the driver and the driven gears
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The FE grid of contact region on tooth profile
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Positions of constraints on the two shafts
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Instantaneous contact region shape on teeth surface (a) when the shafts are rigid (b) when the cantilever is 180 mm long and shafts are not rigid, and (c) when the cantilever is 460 mm long and shafts are not rigid
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Load distribution along the tooth width. Curves a and b represent the cases when cantilever length is 460 mm and 180 mm, respectively and the shafts are not rigid and curve c is when shafts are rigid.
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The enlarged view of the curve c in Fig. 6
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Load distribution along the tooth profile. Curves a to c are when cantilever is 180 mm long and the shafts are not rigid, and curve d is when shafts are rigid.




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