Gear tooth designing with cubic Bézier transition curve

This paper describes the method of designing a Spur Gear Tooth using an S-shaped transition curve joining two tangent circles. For this purpose a single segment of cubic Bézier curve has been used as a transition between two tangent circles of same diameter. This transition curve not only maintains G Hermite like conditions but also guarantees not more than one inflection point in its curvature plot. A shape control parameter is also available to modify the shape of transition curve in a stable manner.