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为了解决数控刻楦中刀轴矢量方向相对鞋楦表面法向频繁变换而造成冲击或发生干涉等问题,提出一种刀轴矢量平滑化插值方法。在确定刀触点的情况下,根据鞋楦表面的微分几何性质确定刀轴矢量方向。采用空间矢量光滑插值方法获得一系列中间位置刀轴矢量使刀轴变化较均匀;根据鞋楦误差要求,采用几何变换方法分析切削工步的起始和结束刀触点处的刀轴矢量变化状况,据此估计刻楦误差。以某规格鞋楦数控刻制过程为例对刀轴矢量光顺化方法进行仿真。结果表明,该方法可以避免刀轴方向频繁变换,并有效地提高加工精度。
In order to solve the problem of impact or interference caused by the frequent change of the vector direction of the cutter shaft in the normal direction of the shoe last due to the normal direction of the tool spindle, a vector interpolation method of the cutter shaft vector is proposed. In the case of determining the contact point of the knife, the direction of the knife shaft vector is determined according to the differential geometry of the shoe last surface. A vectorial interpolation of space vector was used to obtain a series of middle-position arbor vectors to make the arbor more uniform. According to the error of shoe last, geometric transformation was used to analyze the change of arbor vectors at the start and end of the cutting step , So as to estimate the last-minute error. Taking a certain standard shoe last numerical control engraving process as an example, the vectoring method of cutter axis is simulated. The results show that this method can avoid the frequent change of tool axis direction and improve the machining accuracy effectively.