A study on the design of slicing cutter for cycloid gear based on conjugate theory

In order to improve the machining precision and efficiency of cycloid gear, a design method of cycloidal slicing cutter is proposed based on the conjugate surface principle. An error-free cutting edge is picked out from the conjugate surface of the cycloid tooth surface. In order to construct a rake face with uniform rake angle, some ideal lines that pass through the points on the cutting edge are constructed according to the definition of working rake angle. The rake face is fitted by these lines using cubic B-spline surface. The flank face is constructed by the ideal cutting edges which would be obtained after cutter resharpening in theory. For this construction, some new conjugate surfaces of the tooth surface are calculated considering that the center distance between workpiece and cutter would decrease after every resharpening. The cutting edges are designed on these conjugate surfaces. The flank face is fitted by these cutting edges using cubic B-spline surface. At last, the feasibility of this design method is verified by a design example. machining simulation, and machining test.