Abstract:

According to the five axis NC machining of ball end milling, this paper presented a new method to optimize tool axis vector based on graph. Based on the characteristics of the cutter axis vector data, the minimum optimization model and algorithm of the cutter axis vector directed graph were proposed. This method can get global minimum cutter axis vector variation of cutter axis vector sequence and improve the computational efficiency of the algorithm by using the boundary of the feasible region of cutter axis vector joining in the directed graph calculation. Simulation and data analyses show that the proposed method improves the continuity and smoothness of cutter axis vector in a certain extent, and also has certain applicability in its optimal tool posture along the boundary of the feasible region.

Key words: tool axis vector, five-axis CNC machining, digraph, feasible domain boundary, space construction method

摘要：

针对球头铣刀的五轴数控加工，提出了一种基于有向图的刀轴矢量优化方法。根据刀轴矢量数据量大的特点，提出了建立刀轴矢量有向图的最小优化模型和算法。该方法能获得全局刀轴矢量变化量最小的刀轴矢量序列，将可行域边界上的刀轴矢量加入到有向图的计算中，提高了算法的计算效率。仿真分析表明，该方法优化了刀轴矢量的连续性和光顺性，对于最佳刀具姿态在可行域边界上的加工具有一定的适用性。

关键词: 刀轴矢量, 五轴数控加工, 有向图, 可行域边界, 空间构造法