慢刀伺服车削刀具半径定向补偿的分段逼近求解

复杂曲面的慢刀伺服车削加工过程中，采用刀具法向补偿算法会在各个直线轴产生补偿量，加工法向矢量突变的曲面时，这种算法并非最优，将补偿量只应用于负载较低的直线轴却是更优的选择。提出一种基于线段逼近的刀具半径定向补偿数值求解算法来求解定向刀位点，通过半径细分的策略使法向误差收敛。算法实例验证及与相关算法的对比结果显示，该算法适用于点云构成的曲面或分段曲面的刀具半径补偿。

Directional Tool Radius Compensation Solution of STS Turning Based on Segment Approximation

In STS turning of complex surfaces, compensated values of all linear servo axes were created by normal cutter compensation algorithm. This algorithm was not optimal when surfaces had sudden changing normal vector，while applying compensated value in linear servo axis with less load was optimal choice. A directional cutter compensation numerical algorithm was introduced based on segment approximation, which might solve the directional compensated value，and the normal error was convergence by further optimization of radius subdivision strategy. Verification of algorithm examples and comparison with related algorithm show that the proposed algorithm may be applied in cutter radius compensation of point cloud surfaces or piecewise surfaces.