基于等参数线法离散NURBS曲面的插补算法

Interpolation algorithm of discrete NURBS surface based on the isoparametric curve method

在模具和航空等制造业,常会遇到复杂曲线曲面的数控加工。为满足提高加工NURBS曲线曲面精度和高速加工的要求,提出了将NURBS曲面采用等参数线法离散成一族NURBS曲线的直接插补算法。其优点是可将一阶、二阶导矢和控制弓高误差而自动调整进给速度的计算放在插补前的预处理中集中进行。

In the mould and aviation manufacturing industries, it is often faced with the numerical control machining of the complex curves and surfaces. In order to satisfy the requirements of improving the precision of machining NURBS curves and surfaces and the requirements of high-speed machining, the direct interpolation algorithm that can discrete the NURBS surfaces into the gens of NURBS curves by using the isoparametric curve method is presented. The advantage of this method is that the guide vectors of the first order and the second order and the calculation of automatically adjusting the feeding speed for control of the bow height error can be pretreated before interpolation.