Computer simulation of loose abrasive grinding aspherical optical surface by local figuring pitch

Methods of shaping aspherical surface by grinding and polishing the workpieces are of the greatest interest in manufacturing optical components. One of the most conveient method is to use traditional loose abrasive grinding machine with local figuring pitch. Real time simulation of the aspheric loose abrasive grinding process base on a modified Preston equation and correlated with the shape of local figuring pitch is built up. The simulated target is basically on two spindle grinderlto generate axis symmetric aspherical. The computer simulation parameters include the frequencies of the tool and workpiece, the length of oscillating arm, the frequency of eccentric osillation, and historical effect ets. The surface profile related to the grinding factor vs. Workpiece diameter are drawn on the displayin realtime. The sucessive changes of surface profile is shown on display, the shape of analysis of the local figuring pitch are also dicussed in this paper. The results are close to our simulation result.