Research on mathematical models of a novel “S” tooth profile gearing

In this research, "S" tooth profile gearing, a novel gearing is proposed. The pinion and gear of this gearing utilize three periods of curves as tooth profile. Its tooth profile composed of convex circular-arc, involute segment and concave circular-arc. General principle of "S" tooth profile gearing is described in details. The mathematical models, including the equation of tooth profile and equation of tooth surface were established based on kinematic method of meshing theory. The analysis confirmed that "S" tooth profile gearing had higher load-carrying capacity and transmission efficiency in comparison with the involute gear.