A NEW APPROACH TO GENERATION OF RULED SURFACES AND ITS APPLICATIONS IN ENGINEERING

Based on the Study displacive theory that there is a one-to-one corres pondence between an oriented straight line in three-dimensional Euclid ean space (E-3) and. dual point on the surface of a dual unit sphere ( DUS) in three-dimensional dual space (D-3), this paper presents a new methodology for the generation of ruled surfaces by planning (fitting or interpolating) the motion locus of a point on the surface of a DUS and discusses its applications in engineering. Some geometric problems and an optimal generation model for ruled surfaces are dealt with in detail. The correctness and effectiveness of this methodology are illu strated by examples and application in practice.