A Roundness Error Evaluation Algorithm

Abstract

The invention belongs to the technical field of measuring tools, in particular to an algorithm for roundness error evaluation. The algorithm uses the center of the least squares circle of the cross-section of the workpiece of the rotary body as a reference point, and uses a certain value (such as the least squares roundness error of the cross section or the estimated roundness error value) as the side length to construct a regular polygon. Each vertex is the center of the circle, calculate the radius values ​​from each vertex to all measuring points in turn, and find out the maximum radius, minimum radius and radius range value when each vertex is the center of the circle, according to the definition of the roundness error evaluation algorithm (minimum Area method, minimum circumscribed circle method, maximum inscribed circle method) to determine the corresponding center coordinate point, so as to obtain the required roundness error. The method is simple in principle, easy to realize, strong in versatility, and can be easily installed on roundness meters, three-coordinate measuring machines and other roundness precision measuring instruments with computers, and can meet the precise evaluation of roundness errors, and It can be applied to the evaluation of other form and position errors in actual engineering.

Description

A Roundness Error Evaluation Algorithm technical field [0001] The invention belongs to the technical field of measuring tools, and more particularly, relates to a kind of algorithm for roundness error evaluation. Background technique The roundness error is the allowable variation of the actual measured circle to the ideal circle, which is used to limit the radial section of the rotary shaft (that is, the vertical The shape error of the section straight to the axis), the roundness error value is calculated from a specific circle center to accommodate the two concentricity of the measured contour The difference between the maximum and minimum radii of the circle is determined. At present, there are four evaluation algorithms for roundness error: least squares method, minimum area method, the smallest circumscribed circle method and the largest inscribed circle method. The least squares method is widely used due to its mature theory and simple and easy algorithm. The ...

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.

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