Development of Algorithms and Programs for Constructing Reference Cylinders for Analysis of Deviations from Cylindricity

Abstract

A procedure (algorithms and programs) for the construction of reference cylinders is proposed: the largest inscribed cylinder, the smallest circumscribed cylinder, and the boundary cylinders for the minimum zone. The parameters of the cylinders, i.e., the radius and position of the axis of the cylindrical surface in space, are determined by minimizing or maximizing a corresponding functional constructed on the basis of the coordinates of the points on the surface. The programs are implemented in the Mathcad program package and are applicable under laboratory conditions in experimental studies, as well as for developing program support for means of measurement. The proposed algorithms can be used to determine deviations from cylindricity of surfaces of parts in machines and devices.