参数曲线直接数控插补通用算法研究

目前商用的CAD/CAM软件对样条曲线的数控编程都采用直线或圆弧逼近的方法.因为目前的绝大多数数控系统还没有象加工直线和圆弧一样的样条曲线插补指令.这将导致复杂曲面精密加工时数控程序特别长,在程序调试、修改、传输、存储等方面带来一系列问题.本文在数控直接插补复杂参数曲线方面做了一些探讨,提出了一个通用的参数曲线直接数控插补的算法,以二次Bezier为例详细介绍了该算法的实施过程,最后利用任意二次Bezier参数曲线进行了验证,结果完全正确,且插补误差小于一个脉冲当量.

A General Interpolation Algorithm for Parameter Curves NC Machining

Comercial CAD/CAM software usually interpolates complex curves to simple lines or arcs. When machining a big and complex and precise work part, the NC program is so big that some NC machines cant run the program. If there is a function that can directly use the parameter of the B - SPLINE or other parameter curves to interplation the curves in the NC system, the NC program for such complex surface will be simplified, the erro created with line or arc interpolation can be decreased. A general algorithm for interpolation the parameter curves was presented. An example shows that the algorithm has high precision, the interpolation erro is less than a control pulse equivalent of the NC system.