基于单位弧长增量插补法的参数曲线电火花线切割插补方法研究  

Research on Parametric Curve Interpolation for WEDM Based on Unit Arc Increment Method

作　　者：陈昊[1] 陈默[1] 奚学程[1] 赵万生[1] 

机构地区：[1]上海交通大学机械与动力工程学院/机械系统与振动国家重点实验室,上海200240

出　　处：《电加工与模具》2015年第4期25-28,共4页Electromachining & Mould

基　　金：国家自然科学基金资助项目(51175337);国家科技重大专项(2014ZX04001061);机械系统与振动国家重点实验室项目(MSVMS201111)

摘　　要：对电火花线切割中基于单位弧长增量法的参数曲线插补方法进行了研究。在该方法中,各坐标轴被看作弧长参数的函数。在每个插补周期中,插补参考点沿着曲线前进一个单位弧长,并将所产生的各个进给轴的增量分别送至其累加器。某个轴的累加器每溢出一次,该进给轴输出一个增量脉冲。从参数曲线的参数方程结构出发,通过使用单位弧长增量插补法,可实现渐开线、摆线、阿基米德螺线、抛物线等参数曲线的直接插补。通过对上下异形面中较短的曲线进行再参数化,将弧长参数统一,实现了对上下异形面的四轴联动直接插补。A parametric curve interpolation algorithm for WEDM which is based on unit arc length increment method is proposed. Each coordinate axes are treated as the functions of arc length. In each interpolation period,the interpolation reference point moves I unit arc length along the curve and the corresponding increments of each axis are accumulated. Once the accumulator of an axis exceeds ,it will move 1 basic length unit. The interpolations of involute, cycloid,Archimedes spiral,parabola are achieved by using this interpolation method which starts from parametric curve interpolation structure. The ruled surfaces which are described by two curves in the upper and lower planes of a workpiece can be directly interpolated by taking re-parameterization of the shorter curve to unify the arc length parameter.

关 键 词：参数曲线 单位弧长增量插补法 插补算法 

分 类 号：TG661[金属学及工艺—金属切削加工及机床]