In the process of spiral bevel gear cutting, the external and internal blades on the cutter head first contact the big wheel face cone, so first establish the big wheel face cone coordinate system Sa, and establish the big wheel coordinate system S2 at the axis intersection point.
After the design of spiral bevel gear blank is completed, all parameter values of spiral bevel gear wheel blank are known, as shown in the figure.
According to the bevel coordinate system Sa of spiral bevel gear wheel face, the bevel equation of spiral bevel gear wheel face can be obtained as follows:
Where: represents the moving point parameter on the large wheel face cone of spiral bevel gear; Represents the tooth surface width of the large spiral bevel gear; Represents the bevel angle of the large wheel face of the spiral bevel gear; Is the distance between the vertex of the face cone and the intersection point of the axis.