基于增强型完全离散法的球头铣刀五轴加工稳定域建模方法研究

基于坐标变换思想，精准高效地提取出球头铣刀五轴数控加工过程中与工件接触区域，利用增强型完全离散法获得铣削动力学方程的时序表达式，实现了效率和精度的共同兼顾，在单齿周期内球头铣刀视为圆弧切削的基础上，由刀刃与接触区域不同时刻的关系，确定出时域方程中所需要的瞬时切出角，借助于Floquet定理构建出了球头铣刀存在前倾角和侧倾角时的加工稳定域叶瓣图，并对其进行了有效性试验验证，试验结果与预测结果相符合，表明了该方法的正确性。

Research on Modeling Method of Machining Stability in Five-axis Ball End Milling Based on Enhanced Complete Discretization Method

The cutter-workpiece engagement in five ball-end milling is extracted by the idea of coordinate transformation at first. Then, the enhanced complete discretization method is applied to solve differential dynamic equation with taking efficiency and precision into consideration synchronously. On basis of ball-end mill in the single tooth cycle being regarded as arc cutting, the instantaneous cut off angles needed in numerical solution are determined via the relationship between cutter edge and contact area at different time. The predictive stability lobe diagram (SLD) is established by Floquet theory, which is validated in a five axis NC machine tool with good accordant with predicted results.