According to the analysis of the cutting process oftooth surface, based on the generation principle of spherical involute tooth surface, the reverse motion of the generated motion of the tooth surface is taken as the cutting motion, and the reduced spiral tooth surface with spherical involute tooth shape can be milled by simple three-axis linkage. The three linkage movements are as follows:
① The angular velocity of the gear blank is ω 1 and ω 1, and the angular velocity of the gear blank is ω 1;
② The blade moves with the revolution of (q) plane, and the angular velocity is ω;
③ The blade rotates around its geometric center, and the angular velocity is ω 0, and the velocity is ω; on the premise that the cutter position q is equal to the blade radius r, in order to cut out the complete spiral bevel gear tooth surface, the relationship between the above three speeds must meet the formula.
Since the above three linkage movements are all rotary movements, but in fact, the linear movement is easier to realize and control than the rotary movement, so this section will further analyze the above three linkage movements and synthesize the speed, so that the movement required for tooth surface cutting is transformed from the rotary movement to the linear movement as far as possible. Based on the analysis of the tooth surface cutting movement, the revolution and rotation of the blade are further analyzed, as shown in the figure.