NL2024691A - Method for spatially positioning crack in t-joint weldment - Google Patents
Method for spatially positioning crack in t-joint weldment Download PDFInfo
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- NL2024691A NL2024691A NL2024691A NL2024691A NL2024691A NL 2024691 A NL2024691 A NL 2024691A NL 2024691 A NL2024691 A NL 2024691A NL 2024691 A NL2024691 A NL 2024691A NL 2024691 A NL2024691 A NL 2024691A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N23/00—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
- G01N23/02—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material
- G01N23/04—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material
- G01N23/044—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material using laminography or tomosynthesis
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N23/00—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
- G01N23/02—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material
- G01N23/04—Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2223/00—Investigating materials by wave or particle radiation
- G01N2223/30—Accessories, mechanical or electrical features
- G01N2223/33—Accessories, mechanical or electrical features scanning, i.e. relative motion for measurement of successive object-parts
- G01N2223/3306—Accessories, mechanical or electrical features scanning, i.e. relative motion for measurement of successive object-parts object rotates
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2223/00—Investigating materials by wave or particle radiation
- G01N2223/60—Specific applications or type of materials
- G01N2223/629—Specific applications or type of materials welds, bonds, sealing compounds
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Abstract
The present invention disclosures a method for spatially positioning a crack in a T-joint weldment, which belongs to the technical field of weldment detection. In the method, firstly, the T-joint weldment is rotated left and right to obtain the left and right rotation images by the X-ray detection. According to the geometric relationship between the parts of the detected image, the mathematical model for calculating the depth and the offset of the crack defect in the T-joint weldment is established. According to the above model, the depths h₁, h₂ and the offsets x₁, x₂ of the two ends of the crack tip, the offset x of the middle point of the crack and the inclination angle θ of the crack in the T-joint weldment are determined respectively. The distribution of the crack defect along the length direction of the welding line can be obtained by image processing, thereby realizing the spatial positioning of the crack defect in the T-joint weldment.
Description
METHOD FOR SPATIALLY POSITIONING CRACK IN T-JOINT WELDMENT TECHNICAL FIELD
The present invention relates to a method for spatially positioning a crack in a weldment, which belongs to the technical field of weldment detection.
BACKGROUND
At present, the inventor has carried out the research on spatially positioning the bulk-type defect in the weldment by adopting the X-ray multi-view imaging method, and realized the automatic extraction and visualization of the spatial position data of the bulk-type defect in batch. The problems existing in the translation parallax method and the double exposure method with the aid of lead mark are eliminated, such as great operation difficulty, large measurement error, large error transmission and others. Crack is a area-type defect, which commonly exists in welded joints and has a great impact on the safety of important welded structures.
However, using the X-ray detection method to carry out the research on spatially positioning the crack and other area-type defects in the weldment has not been reported at home and abroad. Therefore, the present invention of a method for spatially positioning the crack in the T-joint weldment (see FIG. 1) without the aid of marked points has extremely important theoretical and practical significance as well as broad engineering application prospects, which may be popularized and applied to ordinary welded joints.
SUMMARY
In order to overcome the shortcomings of the prior art above, the present invention provides a method for spatially positioning a crack in a T-joint weldment. The method can conveniently realizes the spatial positioning of the crack in the T-joint weldment and has high positioning accuracy and strong adaptability, which has a good prospect of engineering application.
The present invention is realized by the following technical solution. A method for spatially positioning a crack in a T-joint weldment, which can realize the spatial positioning of the crack in the T-joint weldment, includes the following steps:
1) rotating the T-joint weldment left and right to obtain left and right rotation images by a X-ray detection.
2) by a geometric relationship between each part in the detected left and right rotation images, establishing a mathematical model of depths and offsets of two ends of a crack tip;
3) according to the above model, determining the depths Ai, hi and the offsets xi, xi of the two ends of the crack tip, a offset x of a middle point of the crack and a inclination angle Θ of the crack in the T-joint weldment, respectively;
4) finally, obtaining a distribution of the crack defect along a length direction of a welding line by image processing, thereby realizing the spatial positioning of the crack defect in the Tjoint weldment.
Further, in the step 2), a thinnest position of the weldment penetrated by the X-ray penetration is selected as a positioning characteristic point, and a mathematical model of the depths and the offsets of the two ends of the crack tip is established.
Further, in the step 2), the mathematical model for calculating the offsets of the two ends of the crack tip is as follows:
Λ| — sin a _ dt2-dr2 sin a
The mathematical model for calculating the offset of the middle point of the crack is as follows:
X. + X, x = —--2
When x>0, the middle point of the crack is located on the right side of a center line of a web plate of the T-joint weldment. When x=0, the middle point of the crack lies on the center line of the web plate of the T-joint weldment. When x<0, the middle point of the crack is located on the left side of the center line of the web plate of the T-joint weldment.
The mathematical model for calculating the depths of the crack tip is as follows:
r d,, W . c cos a 2 d W h2=^-(T- + x2) + d cosa 2 where, hi, hi represent the depths of the two ends Ai, A 2 of the crack tip in the T-joint weldment, that is, the distances (mm) from the two ends of the crack tip to the lower surface of the wing plate of the T-joint weldment calculated by the formula;
xi, X2 represent the distances from the two ends Ai, A2 of the crack tip in the T-joint weldment to the center line of the web plate, namely, the offsets (mm) of the two ends of the crack tip;
x represents the distance from the middle point of the crack in the T-joint weldment to the center line of the web plate, namely, the offset (mm) of the middle point of the crack;
dn, dn represent the projection distance (mm) from the two ends Ai, A2 of the crack tip to the thinnest position of the weldment penetrated by the X-ray penetration when the T-joint weldment is rotated right;
dr], dr2 represent the projection distance (mm) from the two ends Ai, A2 of the crack tip to the thinnest position of the weldment penetrated by the X-ray penetration when the T-joint weldment is rotated left;
a represents the angle of the left and right rotation of the T-joint weldment;
W represents the width (mm) of the web plate of the T-joint weldment;
Θ represents the angle between the line connecting the two ends of the crack and the horizontal line.
Further, when a=45°, the mathematical model for calculating the offsets of the two ends of the crack tip is as follows:
_dii~drl 2
When a=45°, the mathematical model for calculating the depths of the crack tip is as follows:
/¾ = \[ïd!} - (^- + Xj) + δ
I- W h2 = d2dl2 - (— + x2) + δ
Furthermore, if Λ #/22, the inclination angle of the crack need be calculated.
If hi>h2, the inclination angle Θ is above the horizontal line.
Otherwise» if h\<hi, the inclination angle Θ is below the horizontal line.
The mathematical model for calculating the inclination angle Θ between a line connecting the two ends of the crack tip and the horizontal line is as follows:
I/?, - ^1
Θ = arctanJL x, -x2
Further, in the step 2), the width W of the web plate and the thickness δ of the wing plate of the T-joint weldment are measured in advance, and the du, di2, dri and dr2 are automatically obtained after segmenting and extracting the defect in the detected images.
As an application of the present invention, the method for spatially positioning the crack in the T-joint weldment can also be applied to the spatial positioning of the area-type defect in the formed parts such as T-shaped castings and forgings.
The advantages of the present invention are as follows. By adopting the method of the present invention for spatially positioning the crack in the T-joint weldment, the spatial positioning of the crack defect in the T-joint weldment can be realized. The present invention is also applicable to the spatial positioning of other area-type defects in the T-joint weldment. The present invention has the advantages of simple operation, having high positioning accuracy, strong adaptability and wide application. The present invention can be popularized to the spatial positioning of the area-type defects in other welded joints and applied to the spatial positioning of the area-type defects in the formed parts such as T-shaped castings and forgings, which has a good prospect of engineering application.
BRIEF DESCRIPTION OF THE DRAWING
The present invention is further described below in conjunction with the drawings and embodiment.
FIG. 1 is a schematic diagram of the T-joint weldment.
FIG. 2 shows the mathematical model for calculating the depths of the two ends Ai, A 2 of the crack tip in the T-joint weldment.
FIG. 3 shows the mathematical model for calculating the offsets of the two ends Ai, Ag of the crack tip in T-joint weldment.
FIG. 4 shows the model of the inclination angle of the crack in the weldment.
In the figure: 1. web plate; 2. wing plate; 3. welding line; 4. crack; 5. X-ray incident direction.
DETAILED DESCRIPTION OF THE EMBODIMENT
The present invention is further described below in conjunction with the embodiment.
A method for spatially positioning a crack in a T-joint weldment, which can realize the spatial positioning of the crack in the T-joint weldment, includes the following steps.
1) The T-joint weldment is rotated left and right to obtain the left and right rotation images by the X-ray detection.
2) By the geometric relationship between the parts in the detected left and right rotation images, the mathematical model of the depths and the offsets of the two ends of the crack tip is established.
3) According to the above model, the depths hi, hi and the offsets xi, xi of the two ends of the crack tip, the offset x of the middle point of the crack and the inclination angle Θ of the crack in the T-joint weldment are determined respectively.
4) Finally, the distribution of the crack defect along the length direction of the welding line by image processing is obtained, thereby realizing the spatial positioning of the crack defect in the T-joint weldment.
Further, in the step 2), the thinnest position of the weldment penetrated by the X-ray penetration is selected as the positioning characteristic point, and the mathematical model of the depths and the offsets of the two ends of the crack tip is established.
Further, in the step 2), as shown in FIG. 3, the mathematical model for calculating the offsets of the two ends of the crack tip is as follows:
v _ dll ~dri
Λ| — sin a _ dt2-dr2 sin a
The mathematical model for calculating the offset of the middle point of the crack is as follows:
X. + X, x = —--2
When x>0, the middle point of the crack is located on the right side of the center line of the web plate of the T-joint weldment. When x=0, the middle point of the crack lies on the center line of the web plate of the T-joint weldment. When x<0, the middle point of the crack is located on the left side of the center line of the web plate of the T-joint weldment.
As shown in FIG. 2, the mathematical model for calculating the depths of the crack tip is as follows:
A, =——(—+ x,) + J cos a 2 dW h, = JU—++ cos a2 where, /?i, /?2 represent the depths of the two ends Ai, A2 of the crack tip in the T-joint weldment, that is, the distances (mm) from the two ends of the crack tip to the lower surface of the wing plate of the T-joint weldment calculated by the formula;
xy, X2 represent the distances from the two ends Ai, A2 of the crack tip in the T-joint weldment to the center line of the web plate, namely, the offsets (mm) of the two ends of the crack tip;
x represents the distance from the middle point of the crack in the T-joint weldment to the center line of the web plate, namely, the offset (mm) of the middle point of the crack;
du, di2 represent the projection distance (mm) from the two ends Ai, A2 of the crack tip to the thinnest position of the weldment penetrated by the X-ray penetration when the T-joint weldment is rotated right;
dri, dr2 represent the projection distance (mm) from the two ends Ai, A2 of the crack tip to the thinnest position of the weldment penetrated by the X-ray penetration when the T-joint weldment is rotated left;
a represents the angle of the left and right rotation of the T-joint weldment;
W represents the width (mm) of the web plate of the T-joint weldment;
Θ represents the angle between the line connecting the two ends of the crack and the horizontal line.
Further, when a=45°, the mathematical model for calculating the offsets of the two ends of the crack tip is as follows:
1_
When «=45°, the mathematical model for calculating the depths of the crack tip is as follows:
r- W h} = V2i/n -(— + x,) + δ r- W h2 = \Zdl2 -(—+ x2) + J
Furthermore, if h\±!n, the inclination angle of the crack need be calculated.
As shown in FIG. 4, if the inclination angle Θ is above the horizontal line.
Otherwise, if Zzi</?2, the inclination angle Θ is below the horizontal line.
The mathematical model for calculating the inclination angle Θ between the line connecting the two ends of the crack tip and the horizontal line is as follows:
I/?. -λ2|
Θ = arctanJL
Xl-X2
Further, in the step 2), the width W of the web plate and the thickness δ of the wing plate of the T-joint weldment are measured in advance, and the du, d.12, d,-i and dr2 are automatically obtained after segmenting and extracting the defect in the detected images.
As an application of the present invention, the method for spatially positioning the crack in the T-joint weldment can also be applied to the spatial positioning of the area-type defect in the formed parts such as T-shaped castings and forgings.
The present invention provides the method for spatially positioning the crack defect in Tjoint weldment. In the method, firstly, the T-joint weldment is rotated left and right to obtain the left and right rotation images by the X-ray detection. According to the geometric relationship between the parts of the detected image, the mathematical model for calculating the depth and the offset of the crack defect in the T-joint weldment is established. According to the above model, the depths h\, hi and the offsets xi, xi of the two ends of the crack tip, the offset x of the middle point of the crack and the inclination angle Θ of the crack in the T-joint weldment are determined respectively, wherein, the width W of the web plate and the thickness ό of the wing plate of the T-joint weldment may be measured in advance, and the du, du, d,-i and dr2 are automatically obtained after segmenting and extracting the defect in the detected images. The distribution of the crack defect along the length direction of the welding line can be obtained by image processing, thereby realizing the spatial positioning of the crack defect in the T-joint weldment.
By adopting the method of the present invention for spatially positioning the crack in the T-joint weldment, the spatial positioning of the crack defect in the T-joint weldment can be realized. The present invention can be popularized to the spatial positioning of the area-type defects in other welded joints and applied to the spatial positioning of the area-type defects in the formed parts such as T-shaped castings and forgings, which has a good prospect of engineering application.
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CN201910292669.5A CN109991249A (en) | 2019-04-12 | 2019-04-12 | The space-location method of crackle in T junction weldment |
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Cited By (1)
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CN109991249A (en) * | 2019-04-12 | 2019-07-09 | 徐州工程学院 | The space-location method of crackle in T junction weldment |
Citations (2)
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CN106483151A (en) * | 2016-10-14 | 2017-03-08 | 徐州工程学院 | Unilateral projection registration fault automatic distinguishing method in T-shaped weldment left/right rotation image |
CN108896586A (en) * | 2018-07-20 | 2018-11-27 | 徐州工程学院 | The space-location method of defect and banjo fixing butt jointing weldment in banjo fixing butt jointing weldment |
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CN107561097A (en) * | 2017-09-07 | 2018-01-09 | 荆门创佳机械科技有限公司 | A kind of measuring method of crack depth of concrete |
CN109060961B (en) * | 2018-08-01 | 2020-04-14 | 大连理工大学 | Thick-wall pipeline inclined crack accurate quantification method based on TOFD circumferential scanning image |
CN109991249A (en) * | 2019-04-12 | 2019-07-09 | 徐州工程学院 | The space-location method of crackle in T junction weldment |
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CN106483151A (en) * | 2016-10-14 | 2017-03-08 | 徐州工程学院 | Unilateral projection registration fault automatic distinguishing method in T-shaped weldment left/right rotation image |
CN108896586A (en) * | 2018-07-20 | 2018-11-27 | 徐州工程学院 | The space-location method of defect and banjo fixing butt jointing weldment in banjo fixing butt jointing weldment |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
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CN109991249A (en) * | 2019-04-12 | 2019-07-09 | 徐州工程学院 | The space-location method of crackle in T junction weldment |
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