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Optimized least square appraisement method for roundness of minor segment circular arc

A technique of least squares and evaluation methods, applied to measuring devices, instruments, etc., can solve problems such as poor evaluation

Inactive Publication Date: 2008-06-11
SHANGHAI UNIV
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Problems solved by technology

But when the arc to be measured only occupies a small part of the whole circle (for example, 10° in Figure 1), the traditional least square method cannot evaluate the circle well

Method used

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  • Optimized least square appraisement method for roundness of minor segment circular arc
  • Optimized least square appraisement method for roundness of minor segment circular arc
  • Optimized least square appraisement method for roundness of minor segment circular arc

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Embodiment Construction

[0063] An implementation process of the present invention is described in detail as follows in conjunction with accompanying drawing:

[0064] Referring to Figure 3, the optimized least squares evaluation method for the roundness of the arc in this subsection, the evaluation steps are as follows: first, measure the coordinates of each point on the arc that can be measured by the measuring device; then calculate m according to the measured value The value of (1)~m(9); then solve the equation (7) to obtain the coordinates of the center of the circle; then obtain the least square radius of the circle by the formula (8); finally by the formula (9), formula (10) and Equation (11) can calculate the roundness error of the circle.

[0065] The specific evaluation steps are:

[0066] a) Referring to Figure 1, measure the coordinates of each measuring point on 8 points on a small arc (the central angle is β, which is 10°), and calculate the value of m(1)~m(9)

[0067]

[0068] wher...

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Abstract

The invention relates to an optimal least square evaluation method of small arc roundness, which assesses the central coordinate of circle through measuring the coordinates of a plurality of measuring points on a small part of arc and then gets the least square radius through the obtained central coordinate of circle, and finally gets the roundness error of circle. The invention can correctly find the center of the circle, thus the fitting circle can reflect the real situation of the circle better to improve the precision and reliability of counting.

Description

technical field [0001] The invention relates to an accurate evaluation method for the roundness error, in particular to an accurate evaluation method for the roundness error of small and medium arcs in precise measurement under the premise that the nominal radius is known. Background technique [0002] In the modern manufacturing industry, especially in the precision manufacturing process, people have higher and higher requirements for the precision of parts processing and assembly, which requires the corresponding precision measurement technology to accurately measure and evaluate various characteristics. With the rapid development of computer technology and its application in precision measurement technology, testing technology has also reached a new level. In precision measurement, the measurement and evaluation of the geometric characteristic parameters of a circle is one of the most basic and important measurement contents. [0003] Roundness error refers to the degree...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01B21/20G01B21/04
Inventor 张振友李明田应仲李迎伟
Owner SHANGHAI UNIV
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