椭圆加工中的圆弧拟合及加减速算法研究

Research on algorithm of arc approach & acceleration/deceleration control for ellipse process

很多数控机床不支持椭圆插补,因此椭圆加工一般采用圆弧拟合的方法转换成圆弧加工。采用椭圆的最优四圆弧逼近拟合算法,用数字积分法(DDA)进行圆弧插补。用小段割线拟合圆弧起点和终点的小段圆弧,将圆弧的加减速控制转换成直线的加减速控制,解决了DDA圆弧插补的加减速控制难题。

Most CNC machines are not equipped with ellipse interpolation, so the arc approach ＆ arc process are often used as a substitute for ellipse process. The optimized 4-arc approach algorithm is presented and the approximate error is analysed. The DDA arc interpolation has a difficulte problem of acceleration/deceleration algorithm. A short secant is as a substitute for a short art at arc＇ s endpoint, and acceleration/deceleration algorithm for DDA arc interpolation is substituted by one for line interpolation,which solve the problem of acceleration/deceleration for DDA arc interpolation by means of a common MCU.