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提出了用于数控系统的无冲击快速进给插补算法及具有广泛应用前景的快速三角函数算法。由于前者的使用，减小了由柔性冲击造成的机床振动，并减少了辅助加工时间；采用后者，使五轴数控机床因Ａ、Ｃ轴的旋转而产生的坐标变换的运算速度得到了大幅度提高。这两种算法已成功地应用于基于微机的五轴五联动数控系统。
An impact-free fast feed interpolation algorithm for numerical control system and a fast trigonometric function algorithm with wide application prospect are proposed. Because of the former, the machine vibration caused by the flexible impact is reduced and the auxiliary machining time is reduced. By using the latter, the computing speed of the coordinate transformation caused by the rotation of the A-axis and the C-axis of the five-axis CNC machine tool is greatly increased Amplitude increased. These two algorithms have been successfully applied to computer-based five-axis five linkage CNC system.