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.
Issue Section:
Research Papers
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.
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.
Copyright © 1999
by The American Society of Mechanical Engineers
You do not currently have access to this content.