数控车床加工倾斜非圆曲线中的数学处理技巧

摘要

The processing of the oblique non-circular lines gains great popularity in the skill competition of CNC lathes. There exist two difficulties for the solutions to the technique of cutting tool path. One is the orientation of contour line equation, the other is the calculation of the cutting path's span for the parameters. This paper introduces the mathematical solutions for such processing, and a variety of examples are given to verify the results.%倾斜非圆曲线的加工编程,是数控车技能大赛的一个新热点.要完成刀具运动轨迹的生成,在数学处理上面临两个难点,一是曲线方程的旋转变换,二是加工起止点参变量取值范围的计算.文章给出了此类加工编程的数学处理,并进行了实例验证.