回转对称光学曲面磨削误差建模及补偿工艺研究

Research on Error Model and Compensation Method of Rotation Symmetric Optical Surface Grinding

根据回转对称曲面的特点,利用轨迹包络的原理建立了一种光学曲面磨削的数学模型;分析砂轮半径误差和砂轮定位误差对回转对称光学曲面面形精度的影响;针对回转对称曲面建立了误差模型,将砂轮半径误差和砂轮定位误差进行分离和辨识;利用误差补偿机制补偿磨削过程中砂轮半径误差和砂轮定位误差,提高了回转对称曲面精度;在自主研发的磨床上通过实验验证了这种误差补偿机制的有效性。

According to the characteristics of rotary symmetrical surface and the principle of track envelope, a mathematical model on optical surface grinding was established. The surface figure error of rotation symmetric surface induced by the position error and radius error of grinding wheel was analyzed. The error model of rotation symmetric surface was established, and then position error and radius error of grinding wheel was identified and separated. The error compensation method of position error and radius error was used to improve the surface figure accuracy of rotation symmetric curved surface. Based on the grinding machine developed by National University of Defense Technology, the compensation method was proved to be effective, and bring instructive guide for grinding of this kind workpiece.