Novel circularity error evaluation algorithm

Abstract

The present invention belongs to the technical field of measurement tools, and especially relates to a novel circularity error evaluation algorithm. The algorithm takes a least-square center of a revolution body workpiece section as a reference point, a certain value (such as the least-square circularity error of the section or the estimated circularity error) is taken as a side length to construct a regular polygon, a plurality of vertexes of the regular polygon are orderly used as the centers to calculate the radius values from each vertex to all the measurement points, find out the maximumradius, the minimum radius and a range value of the radius when each vertex is the center and the corresponding center coordinate points are determined according to the definition of the circularity error evaluation algorithm (the minimum region method, the minimum circumscribed circle method and the maximum inscribed circle method) so as to obtain the required circularity error. The method is simple in principle and easy to implement and high in universality, circularity error evaluation software is easily installed on roundness measuring equipment, a coordinate measuring machine and other roundness precision measuring instruments with computers, the accurate evaluation of the circularity error can be met and the novel circularity error evaluation algorithm can be applied to the evaluation of other form and position errors in the practical engineering.

Description

technical field [0001] The invention belongs to the technical field of measuring tools, and more specifically relates to an algorithm for roundness error evaluation. Background technique [0002] The roundness error is the allowable variation of the actual measured circle to the ideal circle. It is used to limit the shape error of the radial section of the rotary shaft (that is, the section perpendicular to the axis). The roundness error value is calculated from a specific center of the circle to accommodate It is determined by the maximum and minimum radius difference of two concentric circles of the measured profile. At present, there are four evaluation algorithms for roundness error: least square method, minimum area method, minimum circumscribed circle method and maximum inscribed circle method. The least squares method is the most widely used because of its mature theory, simple and easy algorithm, etc., but it does not meet the roundness error evaluation criteria of ...

AI Technical Summary

Problems solved by technology

In the optimization process, it is necessary to re-select the step size and determine the center-shifting direction of the next step for each calculation step. The algorithm is cumbersome and not intuitive, especially when there are many measurement points, the calculation of the roundness error value is more complicated.

Images