复杂型体工件加工切削点误差插值算法研究
Space Error Interpolation Algorithm Research for Complex Shape Workpieces Machining

提出了基于形状函数插值方法预测机床工作空间内任一切削点的空间误差方法，对有限元插值法和无网格法插值两种不同方法进行了分析。在比较两种优缺点的基础上，针对复杂型体工件的加工，提出了有限元插值和最小二乘法无网格插值耦合计算方法对机床工作切削点空间误差进行插值预测的方法。仿真和实际切削试验都证明了插值算法的有效性。
A forecasting method for any point space errors in machine tool working region is presented based on the shape function interpolation. Two different methods, finite element method interpolation and meshless method interpolation, have been analyzed. Based on the comparison between the advantages and disadvantages of the above two methods, a space error forecasting method by coupling finite element interpolation and a moving least squares meshless method interpolation for complexity shape was presented