基于移动最小二乘的数控龙门导轨磨床定位误差建模及补偿技术

为提高国产大型龙门导轨磨床精度，针对大型龙门导轨磨床的定位误差，应用移动最小二乘法建立误差模型。移动最小二乘法是形成无网格方法逼近函数的方法之一，生成的曲线曲面具有精度高、光滑性好等许多优点，其建模精度远高于普通最小二乘法（LS）。为实现大型导轨磨床的在机实时补偿，应用外部坐标偏移法对大型龙门导轨磨床定位误差进行补偿。补偿后，大型龙门导轨磨床精度提高89.3%，有效提高了该龙门导轨磨床的加工精度。

Positioning Error Modeling and Compensation for CNC Gantry Guideway Grinder Based on MLS

In order to improve the accuracy of gantry guideway grinder, the positioning error model of the gantry guideway grinder was established using MLS method. The MLS method was a meshless method for curve fitting. The error curve fitted by the MLS has many advantages of high precision and good smoothness. The modeling accuracy of the MLS is much higher than that of least squares. In order to realize the real-time compensation for CNC gantry guideway grinder, the external coordinate offset method was used to compensate the geometric errors of the guideway grinder herein. Experimental results show that the accuracy of the gantry guideway grinder is improved by 89.3% compared to without compensation. The accuracy of the gantry guideway grinder is improved greatly.