Kinematic Requirements for Machining Cylindrical Surfaces Characterized by Straight Directrix and Circle Generatrix

A workpiece is defined by one or more unit surfaces that are continuous with each other, each unit surface being characterized by a directrix curve and a generatrix curve.Each of these curves can be generated in six ways.Consequently, a unit surface can be obtained in 66 = 36 distinct ways using various processing methods (such as cutting, plastic deformation, or unconventional methods).Some of these methods are found in industrial practice, while others are possible but economically inefficient.Depending on the nature of the directrix and generatrix curves, certain theoretical methods for obtaining a unit surface are not yet known and require inventive effort to be revealed.This paper focuses on the methods for obtaining unit cylindrical surfaces where the directrix curve is a straight line described cinematically as the trajectory of a point and the generatrix curve is a circle.