A quick and efficient algorithm for the calculation of gear profiles based on flank involutization (original) (raw)

This paper introduces the concept of flank involutization for the determination of conjugate gear tooth profiles. Instead of following a point-to-point analytical approach to the problem of determining the path of contact and the geometry of the generating rack and the mating wheel, the actual tooth flank is considered to be composed of infinitesimal local involutes and therefore a closed solution can be achieved. Due to its simplicity, the method is very fast compared to the standard theory of gearing and this is particularly useful in problems requiring iterative calculations of the tooth geometry such as gear optimization.