三次多项式位移增量微段前瞻插补算法研究

Research on Lookahead Interpolation Algorithm Based on Cubic Polynomial Displacement Incremental Model

针对采用传统的S曲线加减速控制方式对微小线段进行加工时会产生频繁启停且加工效率低,而现有直线加减速控制方式会产生加速度突变造成机床振动强烈等问题,提出一种基于三次多项式位移增量加减速控制的微段前瞻插补算法。该算法分为程序段预处理和实时插补两个阶段:在程序段预处理阶段,通过对程序段进行链接,将对程序段的规划转变为对程序链的规划,并给出程序链的相应信息;在实时插补阶段读取相应的程序链信息完成插补计算。通过对一自由曲面模型进行实际测试加工,证明了算法的有效性。

For the traditional S curve acceleration and deceleration control methods will result in starting/stopping frequently and low machining efficiency,the linear acceleration and deceleration con- trol methods will result in strong machine tool vibration,thus for machining micro line blocks, a too- kahead algorithm was proposed based on cubic polynomial displacement incremental acceleration and deceleration control model. This algorithm divided into two stages, including program segments pre- process and real time interpolation. By linking of program segments, the planning for program seg- ments was changed for program links during program segments preprocess stage. During real time stage, the interpolation compution was achieved by the obtained data information of program links. The machining process of some free--form surface was presented to validate the efficiency of the algo- rithm.