利用调和映射的复杂网格曲面螺旋刀轨生成算法

摘要

针对截平面法规划的复杂网格曲面刀轨的加工效率不高问题,提出一种复杂网格曲面螺旋刀轨生成算法.首先采用调和映射的方法对网格曲面进行参数化,然后根据残留高度确定参数网格中的参数环,在相邻参数环的参数点之间进行“分组匹配”,并依次计算初始和精确的对角参数螺旋线;在此基础上采用“区域划分”的方法快速生成了无干涉的网格曲面螺旋刀轨.对于复杂网格曲面的实验结果表明,文中的螺旋刀轨能够有效地提高截平面法刀轨的加工效率,且能够保证较好的加工质量.%Aiming at the problem of lower efficiency in section method for complex mesh surface machining, an algorithm for spiral tool path generation is proposed. Mesh surface is parameterized firstly by harmonic map method, then parametric loops are calculated in parametric mesh by scallop height, points of adjacent parametric loops are matched group by group, and initial, exact diagonal parametric spiral curves are calculated in sequence. Based on these, free-interference spiral tool paths are generated rapidly by region segment method for mesh surface machining. Experimental result indicates that machining efficiency of spiral tool paths is improved effectively with better machining quality, compared with section plane tool path for complex mesh surface machining.