Statistical Processing Method of Cylinder Measurement Results

Abstract

At enterprises, when producing and repairing machine parts, it is necessary to introduce new methods and control tools including the most effective (as of today) coordinate measuring machines (hereinafter CMMs) of different configurations, types, and sizes. CMM is set behind the machining centers at the end of the line section or the production line for final inspection of parts and products. Underlying the CMM operation coordinate measurement method is the most versatile and can be used effectively for automated control of a wide range of components. Coordinate measurements are the measurements of the geometrical parameters of the object by determining the coordinates of separate points on the object surface in the adopted coordinate system which may be rectangular (Cartesian), cylindrical, and spherical. These measurements are followed by the subsequent mathematical processing of the coordinates measured to determine linear and angular dimensions, shape and positioning deviations of surfaces. All these are indirect measurements as by using standard measurement strategies we obtained coordinate values of separate points belonging to the controlled surface as primary data. In this paper, we propose a method for determining the surface of rotation by the measured coordinates. To do this, the uniform noise is superimposed on the given test surface, and then this initial surface is reconstructed according to the coordinates obtained and the error of the reconstructed surface deviation from the given one is estimated.