关键词: 变齿厚内齿轮, 插齿刀, 齿形误差, 渐开线

Abstract: It was difficult to achieve high-precision machining of internal beveloid gears with standard shaper cutters by inclining the shaper-arbor with respect to the gear axis or slotting angle optimization method. A design method of special gear shaper cutters was proposed for precision machining internal beveloid gears. The tooth profile equation of the gear shaper cutters included both of geometric parameters of the cutters and the slotting angles. The tool profile equations were derived based on the meshing principle, the mathematical models of the gear shapers were established, and the parameter optimization processes of the shaper cutters were given. The profile errors of different machining methods were compared and analyzed, and the influences of design parameter changes on profile errors were studied. The results show that the proposed method may effectively reduce the tooth profile errors under various design parameters, and the designed cutters may achieve the precision machining of internal beveloid gears by linear slotting according to the optimal slotting angle, without the needs to transform the machine tool, which is easy to promote.

Key words: internal beveloid gear, shaper cutter, profile error, involute