Helical gears with localized bearing contact of tooth surfaces achieved by profile crowning of tooth surfaces are considered. Profile crowning is provided by application of two imaginary rack-cutters with mismatched surfaces. The goal is to determine the dimensions and orientation of the instantaneous contact ellipse that requires the determination of principle curvatures of pinion-gear tooth surfaces. A simplified solution to this problem is proposed based on the approach developed in [1, 2] for correlation of principal curvatures and directions of generating and generated tooth surfaces. The obtained equations are applied for profile crowning where the normal profiles of the rack-cutters are either a circular arc or a straight line.

1.
Litvin, F. L., Theory of Gearing, NASA RP-1212 (AVSCOM 88-C-035), Washington, D.C., 1989.
2.
Litvin, F. L., Gear Geometry and Applied Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1994.
3.
Litvin, F. L., and Lu, J., “Computerized Design and Generation of Low-Noise Double Circular-Arc Helical Gears with Low Transmission Errors, Computer Methods in Applied Mechanics and Engineering,” Vol. 127, No. 1–4, Nov. 1995, pp. 57–86.
4.
Litvin
F. L.
,
Chen
N. X.
,
Lu
J.
, and
Handschuh
R. F.
, “
Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
117
, No.
2
, June
1995
, pp.
254
261
.
This content is only available via PDF.
You do not currently have access to this content.