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·N1 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 kc·Fc, where Fc is a relative reference curvature function given by the expression Fc=(N1+N2)2/(N1·N2·C), and kc is 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.

Abstract: A gear and method for producing the gear. The gear has a gear tooth profile conjugate to a gear basic-cutter tooth-profile having an addendum with a convex portion having an addendum point proximal to a pitch line and a dedendum with a concave portion having a dedendum point proximal to the pitch line. The convex portion is complementary with a corresponding portion of a mating-gear basic-cutter tooth-profile dedendum. The concave portion is complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile addendum. A transition zone between the addendum point and the dedendum point has a predetermined width. The gear basic-cutter tooth-profile has a predetermined half pitch relief at the pitch line and continuity of profile and continuity of slope at the addendum point.

Abstract: A gear and method for producing the gear. The gear has a gear tooth profile conjugate to a gear basic-cutter tooth-profile having an addendum with a convex portion having an addendum point proximal to a pitch line and a dedendum with a concave portion having a dedendum point proximal to the pitch line. The convex portion is complementary with a corresponding portion of a mating-gear basic-cutter tooth-profile dedendum. The concave portion is complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile addendum. A transition zone between the addendum point and the dedendum point has a predetermined width. The gear basic-cutter tooth-profile has a predetermined half pitch relief at the pitch line and continuity of profile and continuity of slope at the addendum point.