Gear tooth profile curvature

Machine element or mechanism – Gearing – Teeth

Reexamination Certificate

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Details

C074S459500, C074S460000, C074S462000

Reexamination Certificate

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07077026

ABSTRACT:
A gear system which includes a pinion and mating-gear forming a gear pair with a predetermined gear ratio (mG), center distance (C), face-width (Fw), and limiting stresses. The pinion has a pinion tooth number (N1) and a first plurality of teeth, each tooth having a first-tooth profile. The mating gear has a mating-gear tooth number (N2) satisfying the expression N2=mG·N1and a second plurality of teeth, each tooth having a second-tooth profile. The relative curvature of the first-tooth profile and the second-tooth profile is given by the expression kc·Fc, where Fcis a relative reference curvature function given by the expression Fc=(N1+N2)2/(N1·N2·C), and kcis a relative curvature multiplier which is a function of the gear ratio (mG), the center distance (C), the face-width (Fw), and the limiting stresses.

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