A computerized investigation of the influence of alignment errors on the transmission errors and the shift of the bearing contact is performed. The investigation is performed for an imaginary hypoid gear drive with conjugate tooth surfaces. The transmission error functions caused by misalignment are shown to be periodic discontinuous almost linear functions with the frequency of the cycle of meshing. The above functions can be totally absorbed by a predesigned parabolic function. The shift of the bearing contact caused by misalignment has been determined as well. The investigation is based on computerized simulation of meshing and contact of gear tooth surfaces. The machine-tool settings for the generation of the designed gear drive have been determined. A numerical example that illustrates the developed theory is given.

Issue Section:
Research Papers
Topics:
Bearings, Errors, Simulation, Spiral bevel gears, Cycles, Error functions, Gear teeth, Machine tools, Mechanical drives
1.
Gleason Works, 1991 Understanding Tooth Contact Analysis, Rochester, NY 14692, Publication No. SD3139.
2.
Gosselin, C., Cloutier, L., and Brousseau, J., 1991, “Tooth Contact Analysis of High Conformity Spiral Bevel Gears,” Proceedings of the International Conference on Motion and Power Transmissions, Nov. 23–26, Hiroshima, Japan.
3.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, NJ.
4.
Litvin, F. L., and Zhang, Y., 1990, “Local Synthesis and Tooth Contact Analysis of Face-Milled Spiral Bevel Gears,” NASA Contractor Report 4342 (AVSCOM technical report 90-C-028).
5.
Litvin, F. L., et al., 1994, “Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology,” 1994 ASME Mechanisms Conference.
6.
Litvin
F. L.
, and
Hsiao
C.-L.
,
1993
, “
Computerized Simulation of Meshing and Contact of Enveloping Gear Tooth Surfaces
,”
J. Computer Methods in Applied Mechanics and Engineering
, Vol.
102
, pp.
337
–
366
.
7.
Litvin, F. L., 1991, “Applied Theory of Gearing,” Chapter 1, Dudley’s Gear Handbook, Townsend, D. P., 2nd ed., McGraw Hill.
8.
Korn, G. A., and Korn, T. M., 1968, Mathematical Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill.
9.
Litvin
F. L.
, and
Gutman
Y.
,
1981
, “
Methods of Synthesis and Analysis for Hypoid Gear Drives of ‘Formate’ and ‘Helixform’, Parts 1–3
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
103
, pp.
83
–
113
.
10.
Litvin, F. L., Theory of Gearing, (in Russian), 1st ed. in 1960, 2nd ed. in 1968.
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