ABSTRACT

In the theory of part surface generation, the part surface to be machined is considered as the prime element of the machining process. Other important elements of the part surface generation process, namely, (a) kinematics of the part surface generation and (b) shape and geometry of the generating surface of the cutting tool (as well as numerous others), are considered as the secondary elements of the part surface generation process. This does not mean that the importance of the secondary elements is lower than that of the primary element. No, this is incorrect. This means just that the most favorable parameters of the secondary elements can be expressed in terms of the geometric elements of the prime element. Ultimately, the entire part surface generation process can be synthesized on the premise just of the prime element-that is, on the premise of design parameters of the part surface to be machined. In other words, merely having the geometry of the part surface P to be machined, the implementation of the DG/K-based method of part surface generation makes it possible to solve to the problem of synthesizing of the most favorable machining operation. The only geometry of the part surface P is used for the purposes of synthesizing the best possible machining operation of a given part surface.