Abstract:In order to predict and prolong the effective length of the slotting cutter of the double-circular-arc harmonic circular spline, the mathematical model of the circular spline tooth profile was established and the mathematical simulation model of slotting the circular spline was established by the kinematic method. The mathematical simulation model of grinding the slotting cutter was established by the tooth profile normal method, and the equivalent tooth profile, the machining error and the effective length of the slotting cutter were deduced when the slotting cutter was sharpened. On the basis, the effective length of the slotting cutter was prolonged by optimizing the tooth profile of the grinding wheel and the tooth number of the slotting cutter. The results show that the effective length of the slotting cutter with 55 teeth was 2.1 mm. The tooth profile error of the circular spline slotted by the 0-cross section slotting cutter was 2μm. After optimizing the tooth profile of the grinding wheel, the maximum of the tooth profile error of the circular spline slotted by the 0-cross section slotting cutter was 0.14μm, the effective length of the slotting cutter increased as the number of slotting cutter tooth increased, and the effective length of the slotting cutter with 42 teeth increased by 4.8%, the effective length of the slotting cutter with 55 teeth increased by 52%, the effective length of the slotting cutter with 68 teeth increased by 81%.