1989 年 55 巻 510 号 p. 470-475
A mathematical analysis of product surfaces is carried out, aimed at developing a logical design methodology of machine structures which can generate a set of product surfaces. The relationship between the product surfaces and the shape generation process is analyzed, and formulae representing this relationship are established. Algorithmic procedures are proposed to determine feasible kinematic functions for the individual product surface, and to design a suitable combination of the kinematic functions which are applicable to the machining of all the product surfaces.