摘要
针对复杂轮廓曲线数控加工高速高精度控制要求,基于B样条曲线理论,提出了3次B样条曲线插补算法,通过预判加工速度,采用3次B样条曲线不同段间连接点的切矢量求解,建立以时间为参数的样条曲线方程,同步完成插补轨迹规划和速度规划.经过仿真分析表明,该算法的计算效率高,可满足加工精度与速度平滑要求.
In modern NC machining, interpolation of complex profile curve requires high speed and high accuracy. Based on B spline curve theory, this paper presented a modified algorithm in cubic B spline curve interpolation. This proposed algorithm gives a new method based on pre-judgement of machining velocity to calculate the tangent vectors of spline curve junction. The tangent vectors are used to establish the spline curve equations with time as parameter. These equations can make trajectory generation and velocity generation simultaneously done. The experiment simulation results show that the algorithm has high calculation efficiency and can meet the requirement of high accuracy and feedrate smoothing.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2009年第5期834-836,846,共4页
Journal of Shanghai Jiaotong University
基金
上海市科学技术发展基金资助项目(06DZ11308)
关键词
曲面加工
B样条曲线
插补
速度规划
surface machining
B spline curve
interpolation
velocity planning
