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TECHNICAL PAPERS

Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears

[+] Author and Article Information
Alfonso Fuentes, Faydor L. Litvin

Gear Research Center, Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60607-7022

Baxter R. Mullins, Ron Woods

Bell Helicopter Textron Inc., Forth Worth, TX 76101

Robert F. Handschuh

U.S. Army Research Laboratory, NASA Glenn Research Center, Cleveland, OH 44135

J. Mech. Des 124(3), 524-532 (Aug 06, 2002) (9 pages) doi:10.1115/1.1481364 History: Received December 01, 2000; Online August 06, 2002
Copyright © 2002 by ASME
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References

Handschuh, R. F., and Litvin, F. L., 1991, “A Method for Determining Spiral-Bevel Gear Tooth Geometry for Finite Element Analysis,” NASA Technical Paper 3096, AVSCOM Technical Report 91-C-020.
Lewicki,  D. G., Handschuh,  R. F., Henry,  Z. S., and Litvin,  F. L., 1994, “Low-Noise, High Strength Spiral Bevel Gears for Helicopter Transmission,” J. Propul. Power, 10(3) pp. 356–361.
Litvin,  F. L., Egelja,  A., Tan,  J., and Heath,  G., 1998, “Computerized Design, Generation and Simulation of Meshing of Orthogonal Offset Face-Gear Drive with a Spur Involute Pinion with Localized Bearing Contact,” Mech. Mach. Theory, 33, pp. 87–102.
Litvin,  F. L., Wang,  A. G., and Handschuh,  R. F., 1996, “Computerized Generation and Simulation of Meshing and Contact of Spiral Bevel Gears with Improved Geometry,” Comput. Methods Appl. Mech. Eng., 158, pp. 33–64.
Stadtfeld, H. J., 1993, Handbook of Bevel and Hypoid Gears: Calculation, Manufacturing, and Optimization, Rochester Institute of Technology, Rochester, New York.
Stadtfeld, H. J., 1995, Gleason Bevel Gear Technology-Manufacturing, Inspection and Optimization, Collected Publications, The Gleason Works, Rochester, New York.
Stadtfeld,  H. J., and Gaiser,  U., 2001, “The Ultimate Motion Graph,” ASME J. Mech. Des., 122(3), pp. 317–322.
Bär, G., 2000, “Accurate Tooth Contact Determination and Optimization for Hypoid Bevel Gears using Automatic Differentiation,” 4th World Congress on Gearing and Power Transmission, pp. 519–529.
Krenzer, T. J., 1981, Tooth Contact Analysis of Spiral Bevel Gears and Hypoid Gears Under Load, The Gleason Works, Rochester, New York.
Gosselin, C., Cloutier, L., and Nguyen, Q. D., 1992, “The Influence of the Kinematical Motion Error on the Loaded Transmission Error of Spiral Bevel Gears,” AGMA paper 92FTM10.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Englewood Cliffs, New Jersey.
Hibbit, Karlsson & Sorensen, Inc., 1998, ABAQUS/Standard 6.1 User’s Manual, 1800 Main Street, Pantucket, RI 20860-4847.
Litvin, F. L., 1968, Theory of Gearing, Nauka (in Russian), Moscow.
Litvin, F. L., 1989, Theory of Gearing, NASA RP-1212 (AVSCOM 88-C-C035), Washington, D. C.
Litvin, F. L., 1998, Development of Gear Technology and Theory of Gearing, NASA Reference Publication 1406, ARL-TR-1500.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes in Fortran 77: The Art of Scientific Computing, Cambridge University Press, New York, 2nd Ed.
Zienkiewicz, O. C., and Taylor, R. L., 2000, The Finite Element Method, John Wiley & Sons, 5th Ed.

Figures

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Illustration of parameters η2 and a applied for local synthesis
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Tangency of tooth surfaces of a gear drive
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Projections of various path of contact LT on tangent plane T
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Illustration of computations for determination of β2(m12)
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Illustration of variation of coefficients b2 and b3 of modified roll
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Flow chart for procedure 3
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Blade and generating cones for gear generating tool: (a) illustration of head-cutter blade; (b) y (c) generating tool cones for concave and convex sides
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Coordinate systems applied for gear generation: (a) and (b) illustration of tool installment for generation of right-and left-hand gears; (c) illustration of corrections of machine-tool settings
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Blades and generating cones for pinion generating tool: (a) convex side blade; (b) convex side generating cone; (c) concave side blade; (d) concave side generating cone
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Coordinate systems applied for the pinion generation: (a) and (b) illustration of tool installment for generation of right- and left-hand gears; (c) illustration of corrections of machine-tool settings
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Illustrations of (a) the volume of designed body, (b) auxiliary intermediate surfaces, (c) determination of nodes for the whole volume, and (d) discretization of the volume by finite elements
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Bearing contact and predesigned function of transmission errors: (a) longitudinally oriented bearing contact for gear drive of example 1; (b) adjusted bearing contact for gear drive of example 2; (c) adjusted bearing contact for gear drive of example 3; (d) function of transmission errors for examples 1, 2, and 3
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Three-pair-of-teeth finite element mesh for example 2
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Whole gear drive finite element mesh for example 2
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Formation of the bearing contact in example 2 at the heel position of the gear

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