基于连续小线段曲率连续全局光顺算法

Research on Continuous Global Fairing Algorithm Based on Continuous Small Curvature

小线段所描述的曲线轨迹在相邻线段的转角处,由于在切线方向会发生突变,曲率也不连续,从而导致了刀具加工中,在通过转角处时会发生速度波动和加速度突变。笔者提出一种基于三次B样条插值拟合的连续小线段路径全局光顺算法,对满足转角和弓高误差约束的连续小线段进行插值拟合,使拟合刀具路径达到G^2连续,从而有效提高进给速度,改善加工质量,提高加工效率。最后通过仿真实验验证了本文中算法是有效的。

The tool path described for small segments are discontinuous at the comers of adjacent segments due to abrupt changes in the tangential direction, which will lead to speed fluctuations and abrupt acceleration in the tool processing through the comer. In this paper, a global smoothing algorithm for continuous small line segments based on cubic B- spline interpolation was proposed. The interpolation of small continuous line segments should satisfy the constraints of comer and bow height errors, so that the tool path could reach G^2 continuous, which could effectively improve the feed rate, improve the processing quality, as well as improve processing efficiency. Finally, the simulation results showed that the algorithm was effective.