Determination of Principal Curvatures and Contact Ellipse for Profile Crowned Helical Gears
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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.
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1995 ◽
Vol 117
(2A)
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pp. 254-261
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1985 ◽
Vol 107
(4)
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pp. 556-564
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1989 ◽
Vol 111
(2)
◽
pp. 278-284
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1987 ◽
Vol 109
(2)
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pp. 163-170
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