双曲面麻花钻主刃的形成与方程简化方法的探讨

Disscussion on Reduced Equation and Forming for Cutting Edgeof Hyperboloid Twist Drill

介绍了以旋转单叶双曲面作麻花钻钻尖后刀面的数学模型。该钻型主刃是双曲面与螺旋前刀面的交线,此交线与钻头端剖面形成的交点是主刃上的点。根据观察由计算机计算出的该交线与一系列端剖面的交点连线,合理简化了主切削刃方程,并将主刃上的特殊点作为锋角测量基点,以解决由于曲线主刃上各点锋角的不断变化造成刃磨参数不确定性的问题。

The mathematical model of the hyperboloid twist drill was introduced. The cutting edge of the drill is the intersection of the hyperboloid and the spiral rake face. The crossing points of the intersection and the end cut planes of the drill are located on the cutting edge. According to the observation for the link of series of the crossing points that were calculated by computer, a simplified equation for calculating the cutting edge was proposed. The special points on the cutting edge were selected as the measuring basing-point of the original point angle, so the non-determinacy problem of the grinding parameters,which was caused by the original point angle on the cutting edge changing from point to point,has been settled.