The complexity of complex-shaped tools′ structure makes the tool grinding process difficult. Taking the “equal spiral angel cone ball-end miller” as an example, the continuity of space-curves in the cone and the ball, and the tools′ structure and machining characteristics are analysed and studied in detail. Using Frenet-frame to locate the grindstone, the interpolation was implemented by using real-coordinate to control machine tool. The result was tested in the grinding experiment.%复杂形状刀具结构上的复杂性导致了磨削加工的复杂性。利用圆锥球头立铣刀这一典型复杂形状刀具,对其圆锥部分和球头部分的刀刃曲线的连续性进行了分析,然后对刀刃结构和加工特性进行研究,再利用Frenet标架来确定砂轮的摆放姿态,实现利用活动坐标系控制机床坐标的插补进给,并通过磨削实例验证。
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