基于符号判别法的逐点比较法圆弧插补算法的研究

Study on the Method of Comparing Circular Interpolation Spot by Spot Based on the Method of Symbol Distinguish

插补算法是数控技术的核心,最常见的算法是逐点比较法,主要是针对直线插补和圆弧插补.直线插补较为直观简单,而圆弧插补由于决定当前应该进给方向的因素很多,因而在程序编写时,需要用许多条件判断语句才能实现,程序编写可读性差、效率低.本文推导了基于符号判别法的逐点比较圆弧插补的算法公式,进一步对逐点比较法圆弧插补进行了改进,提出了改进后的符号判别法算法公式和流程图.改进后的符号判别法由于引入了标志变量,使整个插补过程更加流畅,具有程序设计简单、程序运行时间短的特点,提高了插补的效率和精度.

Interpolation technology is the core technology of machine tool＇ s CNC system. The most common algorithm is the method of comparing spot by spot. The inadequacies of the current method is that, the feed direction is determined by many factors in the process of writing, many conditional statements are needed to achieve that. It is hard to program by this way and the readability of the program is poor. The paper derives the formula of the method of comparing circular interpolation spot by spot based on the method of symbol distinguish. On this basis, the paper attempts to improve the method of comparing spot by spot, and derives the formula of the improved method of symbol distinguish. The whole in- terpolation process becomes smoother by the method of adding a flag variable. The algorithm program is designed to be simple and short program run-time features and effectively improve the computation precision and efficiency.