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本文利用微分几何学建立了球头立铣刀端刃后刀面刃磨中，砂轮运动轨迹的数学模型，计算砂轮的运动轨迹，既可保证铣刀的给定后角值，又可保证砂轮不与已形成的切削刃发生干涉。
In this paper, the differential geometry is used to establish the mathematical model of the movement path of the grinding wheel in the flank face grinding of the ball end mill, and to calculate the movement path of the grinding wheel, which can not only ensure the given clearance angle of the milling cutter but also ensure that the grinding wheel Do not interfere with a formed cutting edge.