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Root Fillet Geometry of Spur, Helical, Spiral Bevel and Hypoid Gears
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Abstract
As modern vehicular applications demand higher power density gears, accurate analytical tools to predict gear stress are required. The finite element method has been successfully applied to the analysis and design of components and structures of a vehicle. However, it is still difficult to apply to gears due to very complicated geometry, especially in the root fillet area. Since a good knowledge of the gear root geometry is required to calculate bending stress, the purpose of this paper is to present the root fillet geometry of spur, helical, spiral bevel, and hypoid gears.
The gear root fillet equations are derived based on the simulation of cutting tool motion on the gear blank during the manufacturing process. For spur and helical gears, the root fillet geometry cut by a rack with and without cutter tip radius is discussed. The phenomenon of undercut is discussed as well. For the more complicated spiral bevel and hypoid gears, the root fillet geometry by Gleason modified roll method is discussed. The Gleason pinion cutters consist of three parts: main profile, TOPREM, and cutter tip fillet profile. This paper shows examples that pinion root fillet geometry generated by both TOPREM and cutter tip fillet profile. It also shows pinion root fillet geometry generated by cutter tip fillet profile only. In addition, the effect of undercut to the root fillet geometry is discussed.
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Citation
Lee, H. and Yamada, S., "Root Fillet Geometry of Spur, Helical, Spiral Bevel and Hypoid Gears," SAE Technical Paper 962230, 1996, https://doi.org/10.4271/962230.Also In
Issues in Commercial Vehicle Powertrain Design and Development
Number: SP-1203; Published: 1996-10-01
Number: SP-1203; Published: 1996-10-01
References
- Clough, R. W. “The Finite Element Method in Plane Stress Analysis,” J. Struct. Div., ASCE Proc. 2nd Conf. Electronic Computation 345 378 1960
- Kumar, A.S. Osman, M.O.M. Sandar, T.S. “An automatic Gear Mesh Generator (AGMG) for Finite Element Modeling of Spur and Helical Gears,” ASME paper 85-DE-6 March 1985
- Pidello, A. Strona, P.P. Raffa, F.A. “The Application of P-version FEM to get gear teeth Peak Stress Valuation,” Engineering Analysis 1988 5 4 170 176 Computational Mechanics Publications
- Drago, R.J. Margasahayam, R.N. “Gear Tooth Load Sharing using Non-Linear Finite Element Methods,” AGMA Fall Technical Meeting 1989
- Hirami, N. Teraoka, T. Mori, Y. Kita H. Nakazawa M. “Helical Gear Root Stress Prediction for Automotive Transmissions,” SAE Technical Paper 891997 1989
- Sell, D. “Finite Element Modeling Spur and Helical Gears in Contact,” SAE Technical Paper 922440 1992
- Bibel, G.D. Kumar, A. Reedy, S. Handschuh, R. “Contact Stress Analysis of Spiral Bevel Gears Using finite Element Analysis,” Journal of Mechanical Design 117 235 240 ASME 1995
- Handschuh, R.F. Litvin, F.L. “A Method of Determining Spiral Bevel Gear Tooth Geometry for Finite Element Analysis,” NASA TP-3096, AVSCOM TR 91-C020 NASA 1991
- Vijayakar, S.M. Houser, D.R. “Contact Analysis of Gears Using a Combined Finite Element and Surface Integral Method,” AGMA Fall Technical Meeting 1991
- Colbourne, J.R. “The Geometry of Involute Gears,” Springer Verlag 1987
- Hefeng, B. Savage, M. Knorr, R.J. “Computer Modeling of Rack Generated Spur Gears,” Journal of Mechanisms and Machine Theory 20 351 360 ASME 1985
- Vijayakar, S.M. Sarkar, B. Houser, D.R. “Gear Tooth Profile Determination From Arbitrary Rack Geometry,” AGMA Fall Technical Meeting 1987
- Litvin, F.L. Gutman, Y.I. “Methods of Synthesis for Hypoid Gear Drives of Formate and Helixform,” Journal of Mechanical Design 103 83 113 ASME 1981
- Litvin, F.L. Tsung, W.J. Lee, H-T “Generation of Spiral Bevel Gears with Conjugate Tooth Surfaces and Tooth Contact Analysis,” NASA CR-4088, AVSCOM TR 87-C-22 NASA 1987
- Litvin, F.L. Lee, H-T “Generation and Tooth Contact Analysis of Spiral Bevel Gears with Predesigned Parabolic Functions of Transmission Errors,” NASA CR4259, AVSCOM TR 89-C-014 NASA 1989
- Litvin, F.L. Zhang, Y. Lundy, M. Heine, C “Determination of Settings of a Tilted Head-Cutter for Generation of Hypoid and Spiral Bevel Gears,” Journal of Mechanisms, Transmission, and Automation in Design 110 495 500 ASME 1988
- Fong, Z.H. Tsay, C-B “A Mathematical Model for the Tooth Geometry of Circular-Cut Spiral Bevel Gears,” Journal of Mechanical Design 113 174 181 ASME 1991
- Dyson, A. “A General Theory of the Kinematics and Geometry of Gears in Three Dimensions,” Oxford University Press London 1969
- Litvin, F.L. “Theory of Gearing,” NASA Reference Publication 1212 1989