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New algorithm for rapidly evaluating roundness

A roundness and algorithm technology, applied in the field of new algorithms for rapid roundness assessment, can solve problems such as difficult practical application, exaggerated roundness values, and complex algorithms, and achieve the effect of solving roundness assessment problems.

Pending Publication Date: 2022-02-08
绍兴职业技术学院
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Problems solved by technology

The least squares fitting technique is a common method for roundness evaluation, and the calculation speed is fast, but the roundness value obtained by the calculation is exaggerated by about 10%, and it is not very practical in high-precision measurement
Many domestic scholars have done a lot of research on the minimum area evaluation algorithm of roundness error from different angles and proposed many optimization algorithms for evaluating roundness error. The more representative algorithms are: imitation incremental algorithm, search algorithm, computational geometry algorithm and some other algorithms, etc. These achievements have certain practical value, but most of these algorithms are relatively complicated and not easy to be practically applied

Method used

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  • New algorithm for rapidly evaluating roundness
  • New algorithm for rapidly evaluating roundness
  • New algorithm for rapidly evaluating roundness

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Embodiment

[0023] Example: refer to figure 1 , make concentric circles with the ideal center as the center and the distance from the ideal center to the farthest point and the nearest point as the radius for several points corresponding to the cross-sectional profile of the rotating body. The smallest area between the concentric circles is the target with the smallest objective function value area. Therefore, circularity is the minimum target value obtained from the minimum area. The objective function for circularity can be easily evaluated once the corresponding circle centers are obtained. Therefore, computational efficiency depends on the speed of determining the ideal circle center. In order to establish an efficient algorithm for finding the ideal circle center, a series of mathematical models will be developed below.

[0024] refer to figure 2 , let (x 1 ,y 1 ), (x 2 ,y 2 ),...(x i ,y i ),...(x n ,y n ) represents the x and y coordinates of n points of the measured ci...

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Abstract

The invention discloses a new algorithm for quickly evaluating roundness. The new algorithm comprises the following steps: S1, calculating the least square circle center coordinate and the least square roundness of the section contour of a measured rotary body by using a least square method; s2, picking a point (xmax, ymax) farthest from the least square circle center and a point (xmin, ymin) closest to the section contour of the measured rotary body, and moving the circle center along a bisector 1 of a radius at the farthest point and a radius extension line at the closest point according to a certain step length lambda to obtain an updated circle center and roundness; s3, repeating the step S2 according to the obtained updated circle center until the updated roundness value is greater than the last roundness value, and stopping moving; s4, outputting a last roundness value, namely a final evaluation result. According to the invention, an evaluation result which is accurate enough can be obtained in a short time, and the problem of roundness evaluation is successfully solved.

Description

technical field [0001] The invention relates to the technical field of evaluating the roundness of a revolving body, in particular to a new algorithm for quickly evaluating the roundness. Background technique [0002] In the field of mechanical manufacturing, rotary parts (such as shafts, discs, covers, holes, etc.) account for a large proportion, and the shape and position errors of these parts have an important impact on their performance. Roundness is one of the most common shape and position errors of rotary parts, and its detection and evaluation are very important in actual production. This requires efficient detection methods and calculation methods to ensure the improvement of production efficiency. The least squares fitting technique is a common method for roundness evaluation, and the calculation speed is fast, but the roundness value obtained by the calculation is exaggerated by about 10%, and it is not practical in high-precision measurement. Many domestic scho...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01B21/20G06F17/15
CPCG01B21/20G06F17/15
Inventor 盛东良詹剑良朱丹马方毅
Owner 绍兴职业技术学院
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