迭代算法的曲线插补进给速度控制方法

Feed-rate-controlled method of iterative algorithm for curve interpolation

在数控加工中,为了满足较高的加工精度和保持恒定的进给速度要求,提高数控加工复杂零件的能力,数控系统插补器需要采用较复杂的插补算法,其计算量大,耗时多,影响加工速度。针对这一问题,根据参数曲线数控插补原理,指出了Taylor展开算法和迭代算法,给定曲线,利用当前弦长和当前插补点,精确算出下一插补点。在迭代次数和迭代误差都小于设定值时结束迭代,即可算出下一插补点,且保持当前点和速度,否则继续迭代直到满足要求为止,给出了基于迭代算法的曲线实时插补进给速度的控制方法。仿真实例结果表明,提出的算法能够满足各种不同参数曲线的加工。与常规插补算法相比,该算法通用性强,计算量小,进给误差小,计算精度高,提高了加工效率。

In order to maintain a high machining accuracy and a constant speed feed-rate in CNC machining and improve the machining capability of CNC in handing complex part, the complicated interpolation algorithm needs to be used in CNC interpolation, which is time-consuming for large amount of computation, thus the machining speed is influenced. To solve this problem, based on the principle of parametric curve paths CNC interpolating,it is pointed out that Taylor series and iterative algorithm, given curve, using the chord length and the interpolation point, accurately calculate the next interpolation points. In the number of iterations and iterative error are less than the set value when the end of the iteration, next interpolation points can be calculated,and keep the current point and speed, otherwise continue iterative algorithm until they meet the requirements, feed-rate-controlled method based on iterative algorithm for curve real-time interpolation has also been given. The simulation results demonstrate that the proposed algorithm can satisfy the machining of a variety of different parametric curves. Compared with the conventional interpolation algorithm,it features are high university for machining, small computational a mount small feed-rate error and high computational accuracy,thereby greatly shorting the processing efficiency.