时间分割圆弧插补算法的改进

Improvement of Time Segmentation Arc Interpolation Algorithm

插补算法是数控机床的重要组成部分,插补算法的优劣直接影响了机床的加工性功能。对于现有的时间分割圆弧插补方法大多采用的是近似计算,计算过程复杂,插补精度和插补效率相对较低。为提高机床的加工性功能,文章基于等弦高误差理论对原有的时间分割圆弧插补算法进行改进,改进后的插补算法计算简便,实现了插补过程的无近似计算,且使每一个插补点都落在插补圆弧上;在保证插补精度的条件下,因为在插补计算过程中采用了最大允许弦高误差,实现了插补效率的最大化。

Directly affecting the machining features of CNC machine tools, interpolation algorithm is an vital part of CNC machine tools. For the existing most of time segmentation arc interpolation algorithms the process of calculation are complex and approximate calculation is adopted. In order to improve the machining features, based on the theory of equal chord deviation error the original time segmentation arc interpolation algorithm is improved in the paper and the improved arc interpolation algorithm which is simple achieves the interpolation process of no approximate calculation and each interpolation point falls on the interpolation arc. Under the condition of guaranteeing interpolation accuracy, because of the maximum allowed chord deviation error used in the process of interpolation calculating , the maximization of the interpolation efficiency is come true.