【正文】
the requirements of slow tool servo, two types of tool are designed and analytic geometry models of cutting edge are built. A geometrical approach is introduced to formulate the relationship between tool tip and plex surface. By virtue of surface analytic method, the problem is solved efficiently, bined with the NURBS representation of plex surface. Experiments are carried out to validate solving algorithm. In addition, the relation models between tool shape and roughness, optical property and materials are built. 3. The programming theory of tool path in ultraprecision Slow Tool Servo turning plex optical surface. In the basic design algorithm of plex optical surface slow tool servo turning, firstly study on the tool contact path design method and accuracy control skills of discrete process. Then, cutting edge pensation problem is considered. Two algorithms (normal direction pensation method and keeping X steady method) are proposed to avoid interfaces between surface and tool tip of zero rake angle. A tool path correct algorithm is developed to overe over cutting and lack cutting due to nonzero rake angel. With regard to the calculate problem of tool path outer of surface region, space curve interpolation algorithm and surface continuation methods are proposed. In order to improve the manchining accuracy, error pensation algorithm is studied base on the tool path correction. 4. The error model and simulation algorithm of Slow Tool Servo turning. Base on the discrete vector intersection, geometry simulation algorithm of slow tool servo turning is constructed. Then, major error sources and its transformations in plex surface turning are analyzed. An error model of slow tool servo turning is built base on multibody theory. Experiments are carried out to validate simulation algorithm and error model. 5. Finally, plentiful experiments are performed on a variety of plex optical surfaces including offaxis parabolic, array lenses, wave front correcting glass, spiral phase plate, continuous phase plate and so on. The successful machining results prove the validity and advantages of the proposed algorithms and the proposed process improvements. Slow knife servo turning the typical machine tool layout forms as shown in figure 1 shows, and mon single point diamond turning and a sharp sword servo turning processing layout is similar. Two straight line into a T to shaft font layout. The main shaft is installed on the X axis. X axis direction of the movement an