CAJ | 학술논문

对于复杂零件的数控加工，如何实现刀具轨迹的平滑插补控制具有重要意义。提出了一种基于S曲线加减速的平滑NURBS插补控制方法；采用复合辛普森求积公式计算NURBS刀轨曲线长度，并以最大轮廓误差、最大向心加速度为约束条件，对刀轨曲线进给速度进行规划。在此基础上，用二阶泰勒展开式进行NURBS插补计算，并对插补过程中的加速度、加加速度进行限制。仿真加工实例说明该方法可以实现平滑运动控制，并能够满足加工精度要求。
대우복잡령건적수공가공，여하실현도구궤적적평활삽보공제구유중요의의。제출료일충기우S곡선가감속적평활NURBS삽보공제방법；채용복합신보삼구적공식계산NURBS도궤곡선장도，병이최대륜곽오차、최대향심가속도위약속조건，대도궤곡선진급속도진행규화。재차기출상，용이계태륵전개식진행NURBS삽보계산，병대삽보과정중적가속도、가가속도진행한제。방진가공실례설명해방법가이실현평활운동공제，병능구만족가공정도요구。
For complex parts CNC machining, how to realize tool path smooth interpolation control is very important. A NURBS curve interpolation method based on S curve acceleration and deceleration is devel-oped in the paper. The NURBS curve length is calculated with the compound Simpson quadrature formula;The tool path curve feed speed is planned within the limitation of the maximum permissible centripetal accel-eration and the maximum permissible contour error. Then the NURBS curve is interpolated with the second-order Taylor expansion. The simulation machining results show that the introduced method can realize smooth motion control, and obtain satisfied machining precision.