NC machining for revolved and swept surfaces with free-form profiles

An accurate, flexible and simple method is proposed for machining the surfaces obtained, either by revolving around an axis (surface of revolution), or by moving along a straight line (swept surface), a free-form profile which is implemented in terms of Bezier formulation. In the first case, the profile curve is coplanar with the symmetry axis, while in the second case it lies in a plane perpendicular to the direction of translation. The demand for manufacturing of such geometric shapes is frequently met in sculptured surfaces of molds, stamping dies, forging tools, rolling shapes, etc.