离散曲面慢刀伺服车削刀具路径规划
Cutting Path Plan of Discrete Surface for Slow Tool Servo Turning

为解决离散曲面加工的难题，进行了离散曲面慢刀伺服车削刀具路径规划，研究了离散曲面的刀触点生成算法和刀位点生成算法，对比了两种刀位点速度插补算法。提出了基于Zernike多项式局部数据点拟合的刀触点生成方法和Z向刀具形状补偿方法。使用MATLAB软件以环曲面为例进行仿真，验证了该方法的正确性。通过对环曲面和渐进多焦点曲面进行刀具路径规划和加工实验，表明该刀具路径规划方法能够在避免对整个曲面进行拟合的基础上实现离散曲面的高精度加工。
To solve the difficulties of discrete surface processing, the cutting path plan for discrete surface was discussed. The generating algorithms of cutting contact points and cutting location points were proposed. The two kinds of velocity interpolation algorithms for cutting location points were compared. A cutting contact points generation method based on the Zernike polynomials using local points data fitting and a Z-direction cutting tools geometry compensation method were proposed. In order to verify the accuracy of the cutting path plan, the MATLAB software was used in simulation of toric spectacle lenses. The cutting path plan and processing experiments for both toric spectacle lenses and progressive-addition lenses proved that discrete surface can be successfully and accurately machined by the proposed method without whole surface points data fitting