A methodology is proposed for the modification of gear tooth surfaces that reduces the impact of gear drive misalignment, the shift of the bearing contact (accompanied in some cases with edge contact), and the occurrence of discontinuous functions of transmission errors. The proposed approach is tested by computerized simulation of meshing and contact for unloaded and loaded gear drives. Applications of geometry modifications to the design of spur and helical involute gears, double-circular helical gears, face-gear drives, face-milled spiral bevel gears with constant tooth height and worm-gear drives are represented.

1.
Dongarra, J. J., Bunch, J. R., Moler, C. B., and Steward, G. W., 1979, LIPACK User’s Guide, SIAM, Philadelphia.
2.
Gleason Works, 1981, “Understanding Tooth Contact Analysis,” Publication No. 5D3139, Rochester, NY.
3.
Korn, G. A., and Korn, T. M., 1968, Mathematics Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill, NY.
4.
Krenzer, Theodore, J., 1981a, “Tooth Contact Analysis of Spiral Bevel and Hypoid Gears under Load,” S.A.E. Earthmoving Industry Conference, Peoria, IL.
5.
Krenzer, Theodore, J., 1981b, “Tooth Contact Analysis of Spiral Bevel and Hypoid Gears under Load,” Gleason Publication SD3458, New York.
6.
Lewicki
D. G.
,
Handschuh
R. F.
,
Henry
Z. S.
, and
Litvin
F. L.
,
1994
, “
Low-Noise, High-Strength, Spiral-Bevel Gears for Helicopter Transmissions
,”
Journal of Propulsion and Power
, Vol.
10
, pp.
356
361
.
7.
Litvin
F. L.
,
1969
, “
Die Beziehungen Zwischen den Kru¨mmungen der Zahnoberfla¨chen bei Ra¨umlichen Verzahnungen
,”
Zeitschrift fur Angewandte Mathematik und Mechanik
, Vol.
49
, pp.
685
690
(in German).
8.
Litvin
F. L.
, and
Gutman
Y.
,
1981
, “
Methods of Synthesis and Analysis for Hypoid Gear Drives of Formate and Helixform, Part 1–3
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
103
, pp.
83
113
.
9.
Litvin, F. L., 1989, Theory of Gearing, Nauka, Moscow, NASA Lewis Research Center, Cleveland, OH.
10.
Litvin, F. L., 1994, Gear Geometry and Applied Theory. Prentice Hall, Englewood Cliffs, NJ.
11.
Litvin
F. L.
,
Chen
N. X.
,
Lu
J.
, and
Handschuh
R. F.
,
1995
a, “
Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
117
, pp.
254
261
.
12.
Litvin
F. L.
,
Chen
N. X.
, and
Chen
J.-S.
,
1995
b, “
Computerized Determination of Curvature Relations and Contact Ellipse for Conjugate Surfaces
,”
Journal of Computer Methods in Applied Mechanics and Engineering
, Vol.
125
,
N1–4
, pp.
151
170
.
13.
Litvin, F. L., 1995c, “Applied Theory of Gearing: State-of-the-Art,” ASME JOURNAL OF MECHANICAL DESIGN, in press.
14.
Wilcox, L., and Coleman, W., 1972, “Application of Finite Elements to the Analysis of Gear Tooth Stresses,” ASME Paper 92-PIG-30, San Fransisco, CA.
15.
Wilcox
L.
, and
Coleman
W.
,
1973
, “
Application of Finite Elements to the Analysis of Gear Tooth Stresses
,”
ASME Journal of Engineering for Industry
, Vol.
95
, pp.
1139
1148
.
16.
Wilcox, Lowell E., 1981, “An Exact Analytical Method for Calculating Stresses in Bevel and Hypoid Gear Teeth,” JSME Conference, Tokyo, Japan.
This content is only available via PDF.
You do not currently have access to this content.