Processing high-order aspherical by CNC tangent method

The new principle for high-order aspherical surface machining is discussed. Three feasible machining techniques are analyzed in details, which are the wheel spindle forming methods that which take the workpiece axis, the geometric centre point Q, and point M on the wheel spindle as the rotating centre respectively. In addition, the mathematical models of trajectories of the three machining methods are established. Finally, the best forming technique, i.e. the wheel spindle forming method that takes point M as the rotating centre, is determined according to the requirement of machining performance, the accuracy and dynamic characteristics of the machine tool and the rationality of the structure.