A Syntactic Description and Recognition of Rotary Machine Elements

A formal description of rotary machine elements defined by contours has been established. The contours are formed through an axis-cross section of elements. The segments are defined as intervals of straight lines or curves. A broken line constructed of segments is a contour. A characterological description of a contour as a word in a given alphabet has been established. A class of contours possessing similar configurations of segments is introduced. This class is identified with regular event. These classes are subsets of a language generated by the local adjunct grammar. The regular expression having a very convenient form for denoting the class of contours has been defined. Finally, an algorithm deciding if any contour belongs to a class has been given.