CAJ | 학술논문

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。
대전화화선절할중기우단위호장증량법적삼수곡선삽보방법진행료연구。재해방법중，각좌표축피간작호장삼수적함수。재매개삽보주기중，삽보삼고점연착곡선전진일개단위호장，병장소산생적각개진급축적증량분별송지기루가기。모개축적루가기매일출일차，해진급축수출일개증량맥충。종삼수곡선적삼수방정결구출발，통과사용단위호장증량삽보법，가실현점개선、파선、아기미덕라선、포물선등삼수곡선적직접삽보。통과대상하이형면중교단적곡선진행재삼수화，장호장삼수통일，실현료대상하이형면적사축련동직접삽보。
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 1 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.