Parabolic tooth trace gear mechanism with combined tooth profile of end face circular arc and parabola

Abstract

The present disclosure provides a parabolic tooth trace gear mechanism with a combined tooth profile of an end face circular arc and a parabola, which belongs to the field of gear transmission. The parabolic tooth trace gear mechanism with the combined tooth profile of the end face circular arc and the parabola includes a small wheel and a big wheel geared externally with parallel axes, tooth surfaces of the small wheel and the big wheel both have a parabolic tooth trace structure, and both are formed by the motion of a combined tooth profile curve of an end face along a contact point, contact lines are all parabolas after being unfolded along a cylindrical surface, and the parabola is determined by a meshing line parameter equation and basic design parameters such as a coincidence degree, the number of teeth, a transmission ratio and the like. When correctly installed, at least one pair of gear teeth of the small wheel and the big wheel, implement pure rolling meshing contact at a node. The small wheel and the big wheel rotate when being driven by a driver to implement transmission between two shafts. The parabolic tooth trace gear mechanism with the combined tooth profile of the end face circular arc and the parabola according to the present disclosure has the advantages of a low frictional wear, a high transmission efficiency, a large single-stage transmission ratio, a strong bearing capacity and the like, and can be widely applied to a transmission system design of mechanical equipment.