On the optimization of the asymmetric spur gears fillet geometry using Bezier curves

Recent research on asymmetric spur gears are focused on the geometry of the gear fillet. This happens because it is very important to avoid the high level of bending stress of the teeth. There are some authors that show how bending stress level can get lower using a proper geometry of the fillet curve. In this paper, there is presented a new concept to optimizing the geometry of the fillet curve. There is used the reasoning of finding a regular curve with minimum length that doesn't affect the functionality of the gear. Because the procedure of finding this curve is a difficult one, there is presented a special kind of curves that can accomplish all the technical requirements. The procedure is based on the considerations that are illustrated bellow.