CAJ | 학술논문

针对复杂形状型腔零件的电火花成形加工中以参数曲线形式所描述的运动轨迹，在单位弧长增量法的基础上，研究了由参数曲线表达式直接生成各轴进给脉冲的多轴联动轨迹精插补方法———广义单位弧长增量法。该方法以脉冲当量作为各轴统一单位，将直线轴运动视为一个合成运动、每个旋转轴运动视为一个独立运动，各运动之间通过弧长比例决定插补进度，并将最长运动的每步弧长增量取定为一个脉冲当量，使每个插补周期内每个轴的运动量不大于一个脉冲当量，可将插补误差控制在与机床分辨率所决定的最小单位长度相近的范围内。仿真实验结果表明：该算法与传统的数据采样法相比，能以较小的存储空间消耗量达到较高的插补精度。最后，通过闭式整体叶盘的成形加工实验验证了该算法的稳定性和可靠性。
침대복잡형상형강령건적전화화성형가공중이삼수곡선형식소묘술적운동궤적，재단위호장증량법적기출상，연구료유삼수곡선표체식직접생성각축진급맥충적다축련동궤적정삽보방법———엄의단위호장증량법。해방법이맥충당량작위각축통일단위，장직선축운동시위일개합성운동、매개선전축운동시위일개독립운동，각운동지간통과호장비례결정삽보진도，병장최장운동적매보호장증량취정위일개맥충당량，사매개삽보주기내매개축적운동량불대우일개맥충당량，가장삽보오차공제재여궤상분변솔소결정적최소단위장도상근적범위내。방진실험결과표명：해산법여전통적수거채양법상비，능이교소적존저공간소모량체도교고적삽보정도。최후，통과폐식정체협반적성형가공실험험증료해산법적은정성화가고성。
Parametric curves can describe the tool paths in electro-discharge machining (EDM) of the cavities of complex shape. The generalized unit arc length increment (GUALI) method is given as a fine interpolation method for direct generation of axis pulses for multi-axis machining. The basic length unit (BLU) is taken as the unit of each axis position. The composition of all motions of the linear axes is regarded as a composite motion,while the motion of a rotary axis is still regarded as one independent motion. The interpolation progresses of all motions are determined by the proportional relationships between the arc lengths of the motions. The arc length increment of each step for the motion with the largest arc length is assigned to be 1 BLU ,and thus the position increment of each axis in each interpolation period is no larger than 1 BLU. Therefore ,the interpolation errors can be kept around the minimum position increment of an axis. Simulation results show that higher accuracy can be reached with less memory consumption by the GUALI method compared to the sampled data method. The stability and reliability of the GUALI method is verified by the EDM of a shrouded turbine blisk.