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Abstract

A gear system which includes a pinion and mating-gear forming a gear pair with a predetermined gear ratio (m.sub.G), center distance (C), face-width (F.sub.w), and limiting stresses. The pinion has a pinion tooth number (N.sub.1) and a first plurality of teeth, each tooth having a first-tooth profile. The mating gear has a mating-gear tooth number (N.sub.2) satisfying the expression N.sub.2=m.sub.GN.sub.1 and 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 k.sub.cF.sub.c, where F.sub.c is a relative reference curvature function given by the expression F.sub.c=(N.sub.1+N.sub.2).sup.2/(N.sub.1N.sub.2C), and k.sub.c is a relative curvature multiplier which is a function of the gear ratio (m.sub.G), the center distance (C), the face-width (F.sub.w), and the limiting stresses.

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