椭圆的时间分割插补新算法

椭圆是机械制造中常见的零件轮廓曲线,数控加工是制造此类零件的最有效方法.文章提出了一个椭圆的时间分割插补的新算法,其实质是先按等参数节点划分法将被加工曲线分成许多微小线段,这可利用一个简单的递推公式完成划分点的坐标计算.而后根据每一插补段的估计步长算出应包含微线段的数目,从而算出插补点的坐标.仿真运算表明,本方法具有很高的插补精度,且进给步长波动也在实际运用的许可范围内,完全可用于数控系统的设计和改造.

New Method of Ellipse Interpolation with Time Dividing

Ellipse is a common part contour curve in manufacturing. The efficient method of producing this kind of parts is numerical control machining. This paper presents a new method of ellipse interpolation with time dividing. The substance of this method is that, first of all, the curve machined is divided into many micro-sections according to equal parameter principle, the node coordinate of the micro-sections can be computed by a simple recursive formula, and then,the number of micro-sections be included for the estimated step length of each interpolation section is calculated. Therefore, the coordinates of interpolation points are found. Simulation calculating shows that the method is very accurate and the fluctuation of feed step is acceptable for practical application. The method can be used for design or modifying of NC system.