Abstract
The purpose of this paper is to achieve machining equal base circle bevel gears with a pot-shaped gear cutter. Based on the theory, the feasibility is analyzed, the coordinate systems of cutting, on both convex and concave surfaces, are established, and the mutual transformation matrices of these cutting coordinate systems are obtained. With the pot-shaped cutter coordinate system, the unit tangential vector and normal vector of the curved surface are calculated. Then, the tool surface point velocity vector under the fixed coordinate system is worked out through solving the instantaneous angular velocity of the points on the wheel billet and vector of the cutter curved surface. Finally, after establishing and solving of the meshing equations on the conjugate contact point between the cutter curved surface and tooth surface, the target machining expression is presented. The three dimensional tooth surface is modeled by Matlab, solving the contact line family at different locations on the cutter, and then comparison between the resulted tooth surface and the theoretical one is conducted. The tooth cutting experiment verified the feasibility of the proposed machining processes, which may lay a solid foundation for the industrial application of this new method.
