Time-optimal interpolation for CNC machining along curved tool pathes with confined chord error
Time-optimal interpolation for CNC machining along curved tool pathes with confined chord error
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DOI：
10.1007/s11424-013-3180-4
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发表时间：
2013-10
影响因子：
2.1
通讯作者：
C. Yuan;Ke Zhang;Wei Fan
中科院分区：
文献类型：
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作者：
C. Yuan;Ke Zhang;Wei Fan
提出了两种新的沿着曲线轨迹数控加工插补算法：弦误差、进给速度和切向加速度约束下的时间最优插补算法和弦误差和切向加加速度约束下的贪婪插补算法。其关键思想是将弦误差限制减少到向心加速度限制，从而导致速度限制曲线，称为弦误差速度限制曲线。然后，速度规划是找到由弦误差速度极限曲线“下”的加速度或加加速度界限控制的适当速度曲线。对于两种简单的刀具轨迹，给出了速度曲线的显式计算公式，并在商用CNC控制器上实现。
In this paper, two new interpolation algorithms for CNC machining along curved tool pathes are proposed: a time-optimal interpolation algorithm under chord error, feedrate, and tangential acceleration bounds, and a greedy interpolation algorithm under the chord error and tangential jerk bounds. The key idea is to reduce the chord error bound to a centripetal acceleration bound which leads to a velocity limit curve, called the chord error velocity limit curve. Then, the velocity planning is to find the proper velocity curve governed by the acceleration or jerk bounds “under” the chord error velocity limit curve. For two types of simple tool pathes, explicit formulas for the velocity curve are given and the methods are implemented in commercial CNC controllers.