Zhong Bo, Wang Chunjin, Chen Xianhua, Wang Jian
Appl Opt. 2019 Feb 1;58(4):1101-1109. doi: 10.1364/AO.58.001101.
For bonnet polishing of an aspheric surface, the tool influence function (TIF) is inevitably time varying, induced by the different surface curvatures on the aspheric surface. Accordingly, this paper investigated how the surface curvature affects the bonnet-workpiece contact area, and then presented a time-varying TIF model. The time-varying TIF was modeled based on the finite element analysis and kinematics analysis methods, and validated by experiments. The experimental results exhibited good agreement with the theoretical results. The proposed method can forecast the TIF for different polishing positions on aspheric surfaces, and provide the theoretical foundation for dynamic compensation of aspheric surface polishing.
对于非球面的帽形抛光，由于非球面上不同的表面曲率，刀具影响函数（TIF）不可避免地随时间变化。因此，本文研究了表面曲率如何影响帽形-工件接触面积，然后提出了一种时变TIF模型。基于有限元分析和运动学分析方法对时变TIF进行建模，并通过实验进行验证。实验结果与理论结果吻合良好。所提出的方法可以预测非球面上不同抛光位置的TIF，为非球面抛光的动态补偿提供理论基础。
