CN118243009B - Rapid detection method for roundness abnormal area of large-diameter cylinder - Google Patents
Rapid detection method for roundness abnormal area of large-diameter cylinder Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/24—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
- G01B11/2408—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures for measuring roundness
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/002—Measuring arrangements characterised by the use of optical techniques for measuring two or more coordinates
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Abstract
The invention discloses a rapid detection method of a roundness abnormal area of a large-diameter cylinder, which comprises the following steps of automatically and uniformly determining n measuring points on the inner surface of the cylinder along the 360-degree direction by using a laser non-contact measurement mode of a total station, establishing a measuring station through a rear view point, establishing a coordinate system, determining coordinates of each measuring point, automatically calculating the roundness based on the obtained coordinates of the measuring points to obtain a roundness detection result, and outputting the roundness of the large-diameter cylinder, the coordinates of the roundness abnormal point and the roundness abnormal area. The invention combines the non-contact automatic measurement mode of the high-precision total station with the roundness automatic calculation program, can realize the on-site rapid detection of the roundness of the large-diameter cylinder, can greatly improve the measurement precision of abnormal points and abnormal areas by increasing the density of measuring points in the cylinder, and has the advantages of simple on-site operation, rapidness, high efficiency, high precision and the like.
Description
Technical Field
The invention relates to a rapid detection method for a roundness abnormal area of a large-diameter cylinder.
Background
Large diameter cylinders may be produced, transported, installed, and operated for some reason to exhibit one or more areas of roundness anomalies that are not satisfactory for equipment acceptance and operation. The most typical example is a wind turbine generator support cylinder, as shown in fig. 1, with the gradual increase of the power of the generator, the diameter of the support cylinder is increased from the original 2m to the current 12m, and even larger, and the roundness of the support cylinder is likely to not meet the current specification requirement of 1% of the 'tower of the wind turbine generator', namely GB/T19072 during processing, transportation and operation.
In actual engineering, the roundness of the cylinder is abnormal due to serious accidents such as transportation, installation or machine turning, and the like, and the roundness and abnormal points of the cylinder of the wind turbine generator set are required to be detected on site to find the accurate position and range of an abnormal region. In actual engineering, a large diameter cylinder may have one or more regions of roundness anomalies, as shown in fig. 2.
At present, although a large-diameter cylinder has a common quantitative detection method for roundness error assessment in the industrial field, two methods, namely a part rotation method and a circumferential three-point ranging indirect measurement method are generally adopted.
The rotation axis method is to compare the circle track (ideal circle) formed by the rotation of the axis in the precise axis system with the measured circle, the difference value between the two circle radii is converted into electric signal by the electric length sensor, the roundness error is indicated by the display instrument after the circuit processing and the calculation of the electronic computer, or the measured circle outline figure is recorded by the recorder. The rotation axis method has two forms, namely a sensor rotation form and a workbench rotation form, wherein the sensor rotation form is suitable for high-precision roundness measurement, and the workbench rotation form is commonly used for measuring small workpieces.
The circumferential three-point ranging indirect measurement method is used for placing a measured workpiece in a V-shaped block for measurement. When in measurement, the measured workpiece rotates in the V-shaped block for one circle, and the maximum indication value and the minimum indication value are read out from the micrometer, and the half difference between the two indication values is the roundness error of the outer circle of the measured workpiece. The method is suitable for measuring the outer circle or the inner circle with odd edge shape errors, and two V-shaped blocks with the common 2 angles of 90 degrees, 120 degrees or 72 degrees and 108 degrees are respectively measured. However, most of the detection devices are expensive in cost, large in size and weight, and high in requirements on the operation environment by a three-coordinate machine (a circumferential three-point ranging indirect measurement method) and a roundness measuring instrument (a part rotating method), and usually, a separate metering chamber is required, so that the detection device is not suitable for on-site on-line detection, and quick and accurate positioning of a roundness abnormal area and an abnormal point is difficult to realize, and for a cylinder with a large diameter, the operation difficulty of the prior art is high or measurement cannot be realized.
Up to now, there are many patents on detecting roundness of a large diameter cylinder. For example, the utility model patent document CN211042165U provides a device capable of carrying out on-line detection on the roundness of a large cylinder, which is innovative in that the device comprises a base, two sets of carrier roller supports, two carrier rollers, two transmission motors, a distance measuring sensor, a Hall switch sensor and an upper computer, and has the beneficial technical effects that the device and the method capable of carrying out on-line detection on the roundness of the large cylinder are provided, and the scheme can carry out on-line detection on the roundness of the large cylinder, and is particularly suitable for being used on industrial sites. However, many times, large diameter cylinders produced from factories have been put into practical engineering, and the utility model CN211042165U is not easy to disassemble, but is only suitable for use in factories, and has certain advantages over the conventional method for detecting roundness in factories, but is not suitable for practical engineering. And obviously impractical if the roundness detection apparatus of that patent is brought to the field for detection.
The patent document CN117516335A discloses a roundness measuring method, a tool and a combined structure of a large cylinder or a cylindrical structure, and belongs to the technical field of industrial measurement; the method comprises the steps of determining a theoretical initial value R of workpiece radius extension, determining coordinates of preset points, enabling actual distances between the preset points and the center of a circle of the end portion of a workpiece to be R extension, setting measuring lines, measuring actual distances between the measuring lines and the outer surface of the workpiece, determining roundness of the workpiece through the actual outer diameter of the workpiece, wherein the measuring tools comprise a fastening assembly and a positioning assembly which are connected, the positioning assembly is provided with a reflecting sheet used for positioning the preset points, the measuring combined structure comprises a plurality of measuring tools arranged at two ends of the workpiece, and the measuring lines corresponding to the same equal dividing positions of the two ends of the workpiece are respectively parallel. The roundness of the outer surface of the large cylinder is measured from the outside, so that the operation difficulty of measurement is remarkably reduced, the measurement precision is high, and the roundness of the large cylinder is measured more simply and conveniently. The roundness measuring device can solve the technical problem of roundness measurement of a large cylinder with a shielding object or an internal structure to a certain extent. However, this patent is only suitable for roundness detection in factories, is not suitable for roundness detection in the field, and although the problem of having a shield inside is solved to some extent, sometimes the outside environment of a cylinder which has been put into engineering use is bad, the method provided by this patent is not suitable, and the patent is only suitable for roundness detection, and does not relate to how to find abnormal areas and abnormal points of a large-diameter cylinder quickly.
Patent document CN111102906a provides a method and device for detecting roundness of a large-aperture cylinder, which can solve the problems of poor precision, non-visual result and low efficiency in measuring the roundness of the cylinder in the prior art. The cylinder roundness measuring device comprises a locating support, an arc locating rod, a vertical scale rod, a vertical clamp, a detachable centering shaft and a swinging radial rod, wherein the locating support is used for locating the plane height of an arc to be measured, the arc locating rod is used for locating the arc starting point of the arc to be measured, the vertical scale is perpendicular to the arc locating rod and used for determining the straight line where the circle center of the arc is located, the vertical clamp is used for guaranteeing the vertical relation between the arc locating rod and the vertical scale, the detachable centering shaft is used for connection after the arc center of the arc is determined, and the swinging radial rod is used for rotating 360 degrees in the circumference to be used for determining the concave degree or the convex degree of an irregular arc in a short distance. The patent confirms the circular degree of the detected arc intuitively through the intersection degree of the free end and the cambered surface in the rotating process of the swinging radial rod, and the method is simple and convenient to operate, but can only play a role when the circular degree error of the cylinder is large, the accuracy is not guaranteed, a good operating environment is provided, when the cylinder is installed, the method is not applicable when the inside of the cylinder is covered, and the method provided by the patent is inconvenient because different positioning brackets, radian positioning rods, vertical scales, vertical clamps, detachable centering shafts and swinging radial rods are manufactured according to the size of the cylinder every time.
Disclosure of Invention
In order to solve the technical problems, the invention provides a rapid detection method for a roundness abnormal area of a large-diameter cylinder, which is simple to operate and high in accuracy.
The invention provides a technical scheme for solving the technical problems, which is a rapid detection method for a roundness abnormal area of a large-diameter cylinder, and comprises the following steps:
Placing a tripod in a cylinder, placing a total station on the tripod, and adjusting an objective lens of the total station to be horizontal after the total station is adjusted to be normal;
Step two, automatically and uniformly determining n measuring points on the inner surface of the cylinder along the 360-degree direction by using a laser non-contact measuring mode of the total station;
Step three, a measuring station is established through the rear view point, a coordinate system is established, and coordinates of each measuring point are determined;
and fourthly, automatically calculating the roundness based on the obtained measuring point coordinates to obtain a roundness detection result, and outputting the roundness of the large-diameter cylinder, the roundness abnormal point coordinates and the roundness abnormal area.
According to the rapid detection method for the roundness abnormal area of the large-diameter cylinder, in the second step, the measurement accuracy can be improved by increasing the number of measuring points.
The method for rapidly detecting the roundness abnormal area of the large-diameter cylinder comprises the following specific steps:
4-1) selecting 3 measuring point coordinates from all measuring point coordinates as a group, and calculating all circle centers and diameters according to a three-coordinate measuring method;
4-2) setting a judgment standard according to the roundness specification of the cylinder of the wind turbine generator, and determining three coordinate points meeting the judgment standard as qualified points;
4-3) repeating the step 4-1) and the step 4-2), traversing all combinations of 3 measuring points selected from n measuring points to obtain all qualified points, judging the rest points except the qualified points as abnormal points, and connecting adjacent abnormal points into a region, namely, a roundness abnormal region.
In the above method for rapidly detecting the roundness abnormal area of the large-diameter cylinder, in the step 4-1), the measurement process of the three-coordinate measurement method is as follows:
4-1-1) setting A, B, C as three random measuring points on the inner surface of the cylinder obtained by measurement, wherein the coordinates of the three measuring points A, B, C are A (x 1,y1)、B：(x2,y2)、C：(x3,y3);
4-1-2) connects AB, BC, a perpendicular bisector L 1 of AB, a perpendicular bisector L 2 of BC, then L 1、L2 is expressed as:
4-1-3) let L 1＝L2 obtain the center coordinates O (x, y) expressed as:
4-1-4) calculating A, B, C the diameter D i of the circle determined by the three measuring points, i representing the calculated diameter number, the calculated diameter D i having the expression:
in the above method for rapidly detecting the roundness abnormal area of the large-diameter cylinder, in the step 4-2), the judgment standard is as follows:
According to the requirement of GB/T19072 of wind generating set tower, the roundness tolerance requirement of any section of the cylinder is as follows:
(Dmax-Dmin)/Dmin≤0.01 (6)
d max is the measured maximum diameter, D min is the measured minimum diameter, and D non is the designed diameter of the cylinder to be inspected;
According to the roundness specification of the cylinder of the wind turbine generator, when the area with the diameter calculation difference less than 1% of the design diameter of the detected cylinder is a qualified area, the 3 measuring points participating in calculation are qualified points, namely:
(Di-Dnon)/Dnon≤0.01 (7)
If the diameter calculation difference is larger than 1% of the area of the designed diameter of the detected cylinder, the area is tentatively used as an abnormal area, if the 3 measuring points which participate in calculation are judged to be qualified points before, the remaining measuring points are judged to be abnormal points, and the area formed by connecting adjacent abnormal points is judged to be the abnormal area.
In the above method for rapidly detecting the roundness abnormal region of the large-diameter cylinder, in the step 4-3), each combination is calculated to obtain a diameter D i, the diameter D i is calculated according to the number n of different measuring points, and a combination number calculation formula is used for calculating the diameter D i The number of available diameter calculations is:
The invention has the beneficial effects that:
1. Compared with the existing method which can only be detected in factories, the method can realize the rapid detection of the roundness abnormal area of the large-diameter cylinder on site, namely, only one high-precision total station and one computer are provided, the equipment is light in weight and convenient to carry, and the detection of abnormal points and abnormal areas can be realized on site.
2. The invention combines the non-contact automatic measurement mode of the high-precision total station with the roundness automatic calculation program, and can realize the on-site rapid detection of the roundness of the large-diameter cylinder.
3. The invention can greatly improve the measurement accuracy of abnormal points and abnormal areas by increasing the density of measuring points in the cylinder, and has the advantages of simple field operation, high speed and efficiency, high accuracy and the like.
Drawings
FIG. 1 is a diagram of a wind turbine inverted tower site.
Fig. 2 is a schematic view of a roundness abnormal area of a large-diameter cylinder, in which (a) is a schematic view in which one abnormal area exists, and (b) is a schematic view in which a plurality of abnormal areas exist.
Fig. 3 is a flow chart of the present invention.
Fig. 4 is a plan view of the arrangement of the total station within the cylinder.
Fig. 5 is a schematic diagram of a total station test.
Fig. 6 is a schematic diagram of roundness calculation.
Fig. 7 is a schematic diagram of determining circle centers by three-dimensional measurement.
Fig. 8 is a schematic diagram of any cross-sectional roundness tolerance requirement.
Fig. 9 is a schematic diagram of pass points in CAD simulation of 1 abnormal region, wherein (a) the measurement points are No. 5, 6, 8, and (b) the measurement points are No. 1, 6, 7.
Fig. 10 is a schematic diagram of outliers in CAD simulation, where (a) points are numbered 1,2, 8, (b) points are numbered 3, 6, 7, and (c) points are numbered 1, 4, 7.
Fig. 11 is a schematic diagram of an abnormal point in the CAD simulation of 2 abnormal areas.
FIG. 12 shows an increase in the density of measurement points, wherein (a) shows that too few measurement points result in no abnormal area being detected, and (b) shows that the number of measurement points is increased.
Detailed Description
The invention is further described below with reference to the drawings and examples.
As shown in fig. 3, a method for rapidly detecting a roundness abnormal area of a large-diameter cylinder includes the steps of:
step one, as shown in fig. 4, three frames are arranged in a cylinder, a high-precision total station is arranged on the three frames, and after the total station is debugged normally, the objective lens of the total station is regulated to be horizontal.
Step two, as shown in fig. 5, n measuring points are automatically and uniformly determined on the inner surface of the cylinder along the 360-degree direction by using a laser non-contact measuring mode of the total station, wherein the number of the measuring points n is more than or equal to 8.
And thirdly, establishing a measuring station through the rear view point, establishing a coordinate system, and determining the coordinates of each measuring point.
And fourthly, automatically calculating the roundness based on the obtained measuring point coordinates to obtain a roundness detection result, and outputting the roundness of the large-diameter cylinder, the roundness abnormal point coordinates and the roundness abnormal area.
As shown in fig. 6, the specific process of the fourth step is:
4-1) selecting 3 measuring point coordinates from all measuring point coordinates as a group, and calculating all circle centers and diameters according to a three-coordinate measuring method.
In the step 4-1), the three-coordinate measurement method comprises the following measurement processes:
4-1-1) as shown in FIG. 7, A, B, C is three random measuring points on the inner surface of the cylinder obtained by measurement, and the coordinates of the three measuring points A, B, C are A (x 1,y1)、B：(x2,y2)、C：(x3,y3);
4-1-2) connects AB, BC, a perpendicular bisector L 1 of AB, a perpendicular bisector L 2 of BC, then L 1、L2 is expressed as:
4-1-3) let L 1＝L2 obtain the center coordinates O (x, y) expressed as:
4-1-4) calculating A, B, C the diameter D i of the circle determined by the three measuring points, i representing the calculated diameter number, the calculated diameter D i having the expression:
4-2) setting a judgment standard according to the roundness specification of the cylinder of the wind turbine generator, and determining three coordinate points meeting the judgment standard as qualified points.
In the step 4-2), the judgment standard is as follows:
As shown in fig. 8, according to requirements of "tower of wind generating set" GB/T19072, the roundness tolerance requirement of any section of the cylinder is:
(Dmax-Dmin)/Dmin≤0.01 (6)
d max is the measured maximum diameter, D min is the measured minimum diameter, and D non is the designed diameter of the cylinder to be inspected;
According to the roundness specification of the cylinder of the wind turbine generator, when the area with the diameter calculation difference less than 1% of the design diameter of the detected cylinder is a qualified area, the 3 measuring points participating in calculation are qualified points, namely:
(Di-Dnon)/Dnon≤0.01 (7)
If the diameter calculation difference is larger than 1% of the area of the designed diameter of the detected cylinder, the area is tentatively used as an abnormal area, if the 3 measuring points which participate in calculation are judged to be qualified points before, the remaining measuring points are judged to be abnormal points, and the area formed by connecting adjacent abnormal points is judged to be the abnormal area.
4-3) Repeating the step 4-1) and the step 4-2), traversing all combinations of 3 measuring points selected from n measuring points to obtain all qualified points, judging the rest points except the qualified points as abnormal points, and connecting adjacent abnormal points into a region, namely, a roundness abnormal region.
In the step 4-3), each combination is calculated to obtain a diameter D i, the diameter D i is calculated according to the number n of different measuring points, and a combination number calculation formula is adoptedThe number of available diameter calculations is:
Examples
1 CAD simulation and result analysis of abnormal areas:
To investigate the location of the cylinder's adverse point after the cylinder was broken. Taking an abnormal region as an example, the abnormal region detection and identification process is simulated by CAD, as shown in table 1.
TABLE 1 roundness anomaly detection procedure
The rapid identification process is as follows:
(1) The average of 8 points in the cylinder was taken, for a total of 56 cases. Representative fig. 9 is given as an example;
(2) In fig. 9, the solid circle is a section of the cylinder which is not broken, and the design diameter of the cylinder to be inspected is assumed to be 200. The dotted semicircle is the deformed section of the cylinder after being broken. Assume a cross-sectional diameter of 200.4 after failure. The solid line is a connecting line of 3 coordinates, and the dotted line is a perpendicular bisector of the two connecting lines;
(3) As shown in fig. 9 (a), the diameter obtained by combining the points No. 5, no. 6 and No. 8 is 200 equal to the design diameter of the cylinder to be tested (the point having an error in the actual engineering, i.e. requiring less than 1% of the design diameter of the cylinder to be tested is regarded as a qualified point), and the points No. 5, no. 6 and No. 8 are qualified points;
(4) Similarly, points 1,6 and 7 in fig. 9 (b) are qualified points;
(5) As shown in fig. 10 (a), the diameter obtained by combining the points No.1, no. 2 and No. 8 is 215.9 larger than the design diameter of the cylinder to be detected, and an error of 8.0% indicates that an abnormal point exists, while as can be seen from fig. 9 (a) and fig. 9 (b), the points No.1, no. 5, no. 6, no. 7 and No. 8 are qualified points, and the point excluding the qualified point indicates that the point No. 2 is an abnormal point;
(6) Similarly, points 3 and 4 in fig. 10 (b) and 10 (c) are positions of abnormal points.
CAD simulation and result analysis of a plurality of abnormal areas:
The large diameter cylinder may have multi-point abnormality due to machining error, and the position of the disadvantageous point may be found by the above method. Here, two abnormal areas are taken as an example, as shown in fig. 11, and the abnormal area detection and recognition process is simulated by CAD, as shown in table 2.
Table 2 method for detecting a plurality of roundness abnormal areas
Analysis of detection results of increasing the density of the measuring points:
An abnormal region may be present in the large diameter cylinder, and the abnormal region may not be detected due to too few points taken from the large diameter cylinder, as shown in fig. 12 (a). For this purpose, the number of measuring points can be increased, as follows.
(1) Taking 16 points and 8 points in the cylinder on average respectively, and assuming that the design diameter of the cylinder to be detected is 200;
(2) As shown in fig. 12 (a), the diameter obtained by combining the points No.1, no.2 and No. 3 is 200 equal to the design diameter of the cylinder to be detected, the error is 0, the points No.1, no.2 and No. 3 are qualified points, and the abnormal areas exist in the areas consisting of the points No.1, no.2 and No. 3;
(3) As shown in fig. 12 (b), the combination of points No.2, no. 4, and No. 6 gives a diameter 185.4 smaller than the designed diameter of the cylinder to be inspected, and an error of 7.3% indicates that there is an abnormal point.
According to the result of the CAD simulation calculation example, the accuracy of detecting the abnormal region can be greatly improved by increasing the density of the measuring points, and the greater the density of the measuring points is, the higher the accuracy of detection is.
Claims (2)
1. The rapid detection method for the roundness abnormal area of the large-diameter cylinder is characterized by comprising the following steps of:
Placing a tripod in a cylinder, placing a total station on the tripod, and adjusting an objective lens of the total station to be horizontal after the total station is adjusted to be normal;
Step two, automatically and uniformly determining n measuring points on the inner surface of the cylinder along the 360-degree direction by using a laser non-contact measuring mode of the total station;
In the second step, the measurement accuracy can be improved by increasing the number of the measuring points;
Step three, a measuring station is established through the rear view point, a coordinate system is established, and coordinates of each measuring point are determined;
Step four, automatically calculating the roundness based on the obtained measuring point coordinates to obtain a roundness detection result, and outputting the roundness of the large-diameter cylinder, the roundness abnormal point coordinates and the roundness abnormal area;
The specific process of the step four is as follows:
4-1) selecting 3 measuring point coordinates from all measuring point coordinates as a group, and calculating all circle centers and diameters according to a three-coordinate measuring method;
4-2) setting a judgment standard according to the roundness specification of the cylinder of the wind turbine generator, and determining three coordinate points meeting the judgment standard as qualified points;
In the step 4-2), the judgment standard is as follows:
According to the requirement of GB/T19072 of wind generating set tower, the roundness tolerance requirement of any section of the cylinder is as follows:
(Dmax-Dmin)/Dmin≤0.01 (6)
d max is the measured maximum diameter, D min is the measured minimum diameter, and D non is the designed diameter of the cylinder to be inspected;
According to the roundness specification of the cylinder of the wind turbine generator, when the area with the diameter calculation difference less than 1% of the design diameter of the detected cylinder is a qualified area, the 3 measuring points participating in calculation are qualified points, namely:
(Di-Dnon)/Dnon≤0.01 (7)
If the diameter calculation difference is greater than 1% of the area of the designed diameter of the detected cylinder, the area is tentatively defined as an abnormal area, if the 3 measuring points which participate in calculation are judged to be qualified points before, the remaining measuring points are judged to be abnormal points, and the area formed by connecting adjacent abnormal points is judged to be an abnormal area;
4-3) repeating the step 4-1) and the step 4-2), traversing all combinations of 3 measuring points selected from n measuring points to obtain all qualified points, judging other points except the qualified points as abnormal points, and connecting adjacent abnormal points into a region which is a roundness abnormal region;
In the step 4-3), each combination is calculated to obtain a diameter D i, the diameter D i is calculated according to the number n of different measuring points, and a combination number calculation formula is adopted The number of available diameter calculations is:
2. the method for rapidly detecting a roundness abnormality of a large diameter cylinder according to claim 1, wherein in the step 4-1), the three-coordinate measurement method comprises the steps of:
4-1-1) setting A, B, C as three random measuring points on the inner surface of the cylinder obtained by measurement, wherein the coordinates of the three measuring points A, B, C are A (x 1,y1)、B：(x2,y2)、C：(x3,y3);
4-1-2) connects AB, BC, a perpendicular bisector L 1 of AB, a perpendicular bisector L 2 of BC, then L 1、L2 is expressed as:
4-1-3) let L 1＝L2 obtain the center coordinates O (x, y) expressed as:
4-1-4) calculating A, B, C the diameter D i of the three measuring point determination circles, i represents the calculated diameter number, and the calculated diameter D i has the calculation expression:
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| CN103033144A (en) * | 2012-12-22 | 2013-04-10 | 上海市隧道工程轨道交通设计研究院 | Laser circle measuring device and application method thereof |
| CN103900528A (en) * | 2012-12-28 | 2014-07-02 | 朱志洁 | Detection method for three-dimensional space section roundness of large component |
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| JP2008292199A (en) * | 2007-05-22 | 2008-12-04 | Mitsutoyo Corp | Device, method, and program for measuring roundness |
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| CN103033144A (en) * | 2012-12-22 | 2013-04-10 | 上海市隧道工程轨道交通设计研究院 | Laser circle measuring device and application method thereof |
| CN103900528A (en) * | 2012-12-28 | 2014-07-02 | 朱志洁 | Detection method for three-dimensional space section roundness of large component |
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