CAJ | 학술논문

针对平面凸轮轮廓列表点曲线的数控加工,提出了一种采用三次样条等误差双圆弧拟合法实现数控编程的计算方法.首先求出凸轮轮廓列表点的三次样条函数曲线方程,用等误差法计算插值点的坐标.再用双圆弧拟合插值点,得到各分段圆弧的圆心坐标,取圆弧的起点、终点坐标,作为编程所需的刀具中心轨迹的数据,并用相应的数控机床指令写出数控加工程序.该方法既能满足精度要求又能使程序段最少,可以保证数控加工时曲线的光滑性及加工精度,提高加工效率.
침대평면철륜륜곽렬표점곡선적수공가공,제출료일충채용삼차양조등오차쌍원호의합법실현수공편정적계산방법.수선구출철륜륜곽렬표점적삼차양조함수곡선방정,용등오차법계산삽치점적좌표.재용쌍원호의합삽치점,득도각분단원호적원심좌표,취원호적기점、종점좌표,작위편정소수적도구중심궤적적수거,병용상응적수공궤상지령사출수공가공정서.해방법기능만족정도요구우능사정서단최소,가이보증수공가공시곡선적광활성급가공정도,제고가공효솔.
Based on NC processing of the listing point cam curve, a NC programming approach of adopting the bi - arc fitting is presented by the cubic spline interpolation with equal error. Firstly, it is required to acquire cubic spline function equation of the listing point cam curve and to calculate the coordinate points with an equal error. Next, the coordinate points of step - length circular center can be computed using the approach of the bi - arc fitting. Both of the start point coordinate and the end coordinate can be served as the programming data necessary for the tool center with the circular center coordinate and then NC processing program is produced based on the corresponding NC instructions. This method meets the processing precision and short NC program segments, to keep the smooth curve and to improve the processing efficiency.