The teeth of circular and involute crowned spur gears are modeled with the same magnitude of crowning. The magnitude of crowning and radius of curvature at the point of contact is geometrically determined. Based on the theory of gearing, the mathematical model of tooth generation and meshing are presented. The dimensions of the contact ellipse and the values of contact stresses of the so crowned spur gear teeth are empirically found, compared and interpreted.
Tooth modification, crowning, tooth contact analysis, stress analysis, contact ellipse
