CN107133390A - Defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving - Google Patents
Defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving Download PDFInfo
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Abstract
The present invention proposes a kind of defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving, comprises the following steps：S1：According to default target defect selection of dimension cell defect size；S2：Acquiring unit defect and magnetic leakage signal；S3：Frequency-domain transform, the frequency-region signal after being converted are carried out to cell defect magnetic leakage signal；S4：Translation transformation operation is carried out along perpendicular magnetization direction to the frequency-region signal after conversion, two frequency-region signals after translation transformation are obtained；S5：Operation will be combined along two frequency-region signals after the translation transformation of perpendicular magnetization direction, the frequency-region signal after being combined；S6：Frequency-region signal after combination is subjected to reverse frequency-domain transform, the magnetic leakage signal of target defect is obtained.The present invention need not carry out the complicated calculations such as finite element again to target defect, with computation model is simple, fireballing advantage.
Description
Technical field
The present invention relates to technical field of nondestructive testing, more particularly to a kind of defect and magnetic leakage signal perpendicular magnetization direction unit group
Close method for solving.
Background technology
Defect and magnetic leakage signal of change is the basis of Magnetic Flux Leakage Inspecting and defect estimation.Because defect and magnetic leakage signal is to flaw size
Incomplete mapping, it usually needs build according to known defect size solve magnetic leakage signal forward model, in model lack
Sunken dimensional parameters, which are iterated more to newly arrive, approaches target magnetic leakage signal, so as to realize the inverting of flaw size.Therefore it is how quick
Defect and magnetic leakage signal is calculated exactly, is had great importance for Magnetic Flux Leakage Inspecting with defect estimation.
It is main that leakage field is directly carried out to target defect using Magnetic dipole method and FInite Element in existing correlation technique
The calculating of signal, but there is substantial amounts of repeated redundancy of effort in magnetic leakage signal iterative process, greatly reduce Lou
The computational efficiency of magnetic signal.In order to improve the computational efficiency of target defect magnetic leakage signal, it may be considered that using precalculating
Know that defect and magnetic leakage signal goes to represent target defect magnetic leakage signal, so that target defect magnetic leakage signal can be greatly improved in principle
Computational efficiency.However, there is serious non-linear relation between target defect size and its magnetic leakage signal, therefore can not be using in advance
Precalculated known defect magnetic leakage signal or its combination directly go to represent target defect magnetic leakage signal.Not yet there is a kind of method at present
The magnetic leakage signal of target defect can be calculated according to the known defect magnetic leakage signal precalculated.
The content of the invention
It is contemplated that at least solving one of above-mentioned technical problem.
Therefore, it is an object of the invention to propose a kind of defect and magnetic leakage signal perpendicular magnetization direction unit combination solution side
Method, this method need not carry out the complicated calculations such as finite element again to target defect, simple, fireballing excellent with computation model
Point.
To achieve these goals, embodiments of the invention propose a kind of defect and magnetic leakage signal perpendicular magnetization direction unit
Method for solving is combined, is comprised the following steps：S1：According to default target defect size d1, d2, d3, choose cell defect size
a1, a2, a3；S2：Acquiring unit defect and magnetic leakage signal Ha(x1,x2,x3)；S3：To cell defect magnetic leakage signal Ha(x1,x2,x3) enter
Row frequency-domain transform, the frequency-region signal T after being converteda(α1,α2,α3)；S4：To the frequency-region signal after conversion along perpendicular magnetization side
To translation transformation operation is carried out, two frequency-region signal T after translation transformation are obtaineda1(α1,α2,α3) and Ta2(α1,α2,α3)；S5：
By along two frequency-region signal T after the translation transformation of perpendicular magnetization directiona1(α1,α2,α3) and Ta2(α1,α2,α3) it is combined behaviour
Make, the frequency-region signal T after being combinedcomb(α1,α2,α3)；S6：By the frequency-region signal T after combinationcomb(α1,α2,α3) carry out instead
To frequency-domain transform, the magnetic leakage signal H of target defect is obtainedtar(x1,x2,x3)。
In addition, defect and magnetic leakage signal perpendicular magnetization direction according to the above embodiment of the present invention unit combination method for solving is also
There can be technical characteristic additional as follows：
In some instances, the target defect is combination of the cell defect along perpendicular magnetization direction, cell defect size
a1, a2, a3With target defect size d1, d2, d3Between meet following conditions：
a1=d1, a2=d2/ 2, a3=d3
Wherein, a1And d1It is the length of defect, along the direction of magnetization, a2And d2It is the width of defect, perpendicular magnetization direction, a3With
d3It is the depth of defect, along the thickness direction of measured material.
In some instances, the cell defect magnetic leakage signal Ha(x1,x2,x3) it is according to cell defect size a1, a2, a3
Calculate what is obtained by preset algorithm, the cell defect magnetic leakage signal Ha(x1,x2,x3) in x1For the direction of magnetization, x2To be vertical
The direction of magnetization, x3For the thickness direction of measured material, cartesian coordinate rule is met.
In some instances, the preset algorithm at least includes：Magnetic dipole method, FInite Element or neural network.
In some instances, in the S3, when carrying out frequency-domain transform, equation below is met：
Wherein, α1, α2And α3It is x respectively1, x2And x3Spatial frequency variable on direction.
In some instances, in the S4, when carrying out translation transformation operation along perpendicular magnetization direction, meet following public
Formula：
In some instances, in the S5, when being combined operation, equation below is met：
Tcomb(α1,α2,α3)=Ta1(α1,α2,α3)+Ta2(α1,α2,α3)。
In some instances, in the S6, when carrying out reverse frequency-domain transform, equation below is met：
Defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving according to embodiments of the present invention, can be according to pre-
The magnetic leakage signal of precalculated known defect is operated by conversion, combination, inverse transformation etc., is obtained along after perpendicular magnetization directional combination
Target defect magnetic leakage signal, it is not necessary to repeat finite element etc. forward direction calculating, improve the calculating of defect and magnetic leakage signal
Efficiency, with computation model is simple, fireballing advantage.
The additional aspect and advantage of the present invention will be set forth in part in the description, and will partly become from the following description
Obtain substantially, or recognized by the practice of the present invention.
Brief description of the drawings
The above-mentioned and/or additional aspect and advantage of the present invention will become from description of the accompanying drawings below to embodiment is combined
Substantially and be readily appreciated that, wherein：
Fig. 1 is the flow that defect and magnetic leakage signal perpendicular magnetization direction unit according to embodiments of the present invention combines method for solving
Figure；
It according to length and width depth in a specific embodiment of the invention is 12mm × 24mm × 3.6mm that Fig. 2 (a) to Fig. 2 (b), which is,
Defect and magnetic leakage signal solving result comparison diagram；
It according to length and width depth in another of the invention specific embodiment is 24mm × 48mm × 4.8mm that Fig. 3 (a) to Fig. 3 (b), which is,
Defect and magnetic leakage signal solving result comparison diagram.
Embodiment
Embodiments of the invention are described below in detail, the example of the embodiment is shown in the drawings, wherein from beginning to end
Same or similar label represents same or similar element or the element with same or like function.Below with reference to attached
The embodiment of figure description is exemplary, is only used for explaining the present invention, and is not considered as limiting the invention.
In the description of the invention, it is to be understood that term " " center ", " longitudinal direction ", " transverse direction ", " on ", " under ",
The orientation or position relationship of the instruction such as "front", "rear", "left", "right", " vertical ", " level ", " top ", " bottom ", " interior ", " outer " are
Based on orientation shown in the drawings or position relationship, it is for only for ease of the description present invention and simplifies description, rather than indicate or dark
Specific orientation must be had, with specific azimuth configuration and operation by showing the device or element of meaning, therefore it is not intended that right
The limitation of the present invention.In addition, term " first ", " second " are only used for describing purpose, and it is not intended that indicating or implying and be relative
Importance.
In the description of the invention, it is necessary to illustrate, unless otherwise clearly defined and limited, term " installation ", " phase
Even ", " connection " should be interpreted broadly, for example, it may be being fixedly connected or being detachably connected, or be integrally connected；Can
To be mechanical connection or electrical connection；Can be joined directly together, can also be indirectly connected to by intermediary, Ke Yishi
The connection of two element internals.For the ordinary skill in the art, with concrete condition above-mentioned term can be understood at this
Concrete meaning in invention.
Defect and magnetic leakage signal perpendicular magnetization direction unit combination according to embodiments of the present invention is described below in conjunction with accompanying drawing to ask
Solution method.
Fig. 1 is defect and magnetic leakage signal perpendicular magnetization direction according to an embodiment of the invention unit combination method for solving
Flow chart.As shown in figure 1, this method comprises the following steps：
Step S1：According to default target defect size d1, d2, d3, choose cell defect size a1, a2, a3。
In one embodiment of the invention, target defect is combination of the cell defect along perpendicular magnetization direction, and unit lacks
Fall into size a1, a2, a3With target defect size d1, d2, d3Between meet following conditions：
a1=d1, a2=d2/ 2, a3=d3
Wherein, a1And d1It is the length of defect, along the direction of magnetization, a2And d2It is the width of defect, perpendicular magnetization direction, a3With
d3It is the depth of defect, along the thickness direction of measured material.
Step S2：Acquiring unit defect and magnetic leakage signal Ha(x1,x2,x3)。
In one embodiment of the invention, cell defect magnetic leakage signal Ha(x1,x2,x3) it is according to cell defect size
a1, a2, a3Calculate what is obtained by preset algorithm, cell defect magnetic leakage signal Ha(x1,x2,x3) in x1For the direction of magnetization, x2It is vertical
The straight direction of magnetization, x3For the thickness direction of measured material, cartesian coordinate rule is met.Wherein, preset algorithm is for example, at least wrapped
Include：Magnetic dipole method, FInite Element or neural network, i.e. preset algorithm include but is not limited to several calculating sides listed above
Method.
Step S3：To cell defect magnetic leakage signal Ha(x1,x2,x3) carry out frequency-domain transform, the frequency-region signal after being converted
Ta(α1,α2,α3)。
Specifically, in step s3, when carrying out frequency-domain transform, equation below is met：
Wherein, α1, α2And α3It is x respectively1, x2And x3Spatial frequency variable on direction.
Step S4：Translation transformation operation is carried out along perpendicular magnetization direction to the frequency-region signal after conversion, translation transformation is obtained
Two frequency-region signal T afterwardsa1(α1,α2,α3) and Ta2(α1,α2,α3)。
Specifically, in step s 4, when carrying out translation transformation operation along perpendicular magnetization direction, equation below is met：
Step S5：By along two frequency-region signal T after the translation transformation of perpendicular magnetization directiona1(α1,α2,α3) and Ta2(α1,α2,
α3) operation is combined, the frequency-region signal T after being combinedcomb(α1,α2,α3)。
Specifically, in step s 5, when being combined operation, equation below is met：
Tcomb(α1,α2,α3)=Ta1(α1,α2,α3)+Ta2(α1,α2,α3)。
Step S6：By the frequency-region signal T after combinationcomb(α1,α2,α3) reverse frequency-domain transform is carried out, obtain target defect
Magnetic leakage signal Htar(x1,x2,x3)。
Specifically, in step s 6, when carrying out reverse frequency-domain transform, equation below is met：
To sum up, defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving according to embodiments of the present invention, can be with
Operated, obtained along perpendicular magnetization direction by conversion, combination, inverse transformation etc. according to the magnetic leakage signal of the known defect precalculated
The magnetic leakage signal of target defect after combination, it is not necessary to repeat the forward direction calculating such as finite element, improve defect and magnetic leakage signal
Computational efficiency, with computation model is simple, fireballing advantage.
For the ease of more fully understanding the present invention, below in conjunction with accompanying drawing and specific embodiment, to the embodiment of the present invention
Defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving carries out exemplary description in detail.
Embodiment 1
In the present embodiment, the defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving comprises the following steps：
1. according to target defect selection of dimension cell defect size.Specifically include：The length d of target defect1=12mm, it is wide
Spend d2=24mm and depth d3=3.6mm, target defect is combination of the cell defect along perpendicular magnetization direction；Choose cell defect
Size is：Length a1=d1=12mm, width a2=d2/ 2=12mm and depth a3=d3=3.6mm.Wherein, a1And d1It is defect
Length, along the direction of magnetization；a2And d2It is the width of defect, perpendicular magnetization direction；a3And d3It is the depth of defect, edge is measured and monitored the growth of standing timber
The thickness direction of material.
2. acquiring unit defect and magnetic leakage signal Ha(x1,x2,x3), wherein, cell defect magnetic leakage signal Ha(x1,x2,x3) it is root
According to cell defect size a1=12mm, a2=12mm, a3=3.6mm precalculates what is obtained using FInite Element.Cell defect is leaked
Magnetic signal Ha(x1,x2,x3) in x1For the direction of magnetization, x2For perpendicular magnetization direction, x3For the thickness direction of measured material, flute is met
Karr coordinate rule.
3. couple cell defect magnetic leakage signal Ha(x1,x2,x3) carry out frequency-domain transform, the frequency-region signal T after being converteda(α1,
α2,α3).Wherein, frequency-domain transform meets following formula：
Wherein, α1, α2And α3It is x respectively1, x2And x3Spatial frequency variable on direction.
4. the frequency-region signal after pair conversion carries out translation transformation operation along perpendicular magnetization direction, two after translation transformation are obtained
Individual frequency-region signal Ta1(α1,α2,α3) and Ta2(α1,α2,α3)。
Wherein, carry out translation transformation operation along perpendicular magnetization direction and meet equation below：
5. by along two frequency-region signal T after the translation transformation of perpendicular magnetization directiona1(α1,α2,α3) and Ta2(α1,α2,α3) enter
Row combination operation, the frequency-region signal T after being combinedcomb(α1,α2,α3).Wherein, combination operation meets equation below：
Tcomb(α1,α2,α3)=Ta1(α1,α2,α3)+Ta2(α1,α2,α3)。
6. by the frequency-region signal T after combinationcomb(α1,α2,α3) carry out reverse frequency-domain transform, obtain target defect (12mm ×
24mm × 3.6mm) magnetic leakage signal Htar(x1,x2,x3).Wherein, reverse frequency-domain transform meets following formula：
In the present embodiment, in this example, the two dimension ash of obtained target defect magnetic leakage signal is calculated using this method
Spend shown in image such as Fig. 2 (a), Fig. 2 (b), which is illustrated, calculates the two dimension ash for obtaining target defect magnetic leakage signal using finite element method
Spend image.It can be seen that being calculated using the method for the embodiment of the present invention, target defect is time-consuming need not to carry out finite element
Calculate, conversion is directly combined to known cell defect magnetic leakage signal, therefore when calculating the time compared to FEM calculation
Between greatly reduce, it is seen that the magnetic leakage signal of target defect is calculated using the method for the embodiment of the present invention, with calculating mould
Type is simple, fireballing advantage.
Embodiment 2
In the present embodiment, the defect and magnetic leakage signal perpendicular magnetization direction unit combination method for solving, comprises the following steps：
Step 1：According to target defect selection of dimension cell defect size.Specifically include：The length d of target defect1=
24mm, width d2=48mm and depth d3=4.8mm, target defect is combination of the cell defect along perpendicular magnetization direction；Choose single
First flaw size is：Length a1=d1=24mm, width a2=d2/ 2=24mm and depth a3=d3=4.8mm.Wherein, a1And d1
It is the length of defect, along the direction of magnetization；a2And d2It is the width of defect, perpendicular magnetization direction；a3And d3It is the depth of defect, edge
The thickness direction of measured material.
Step 2：Acquiring unit defect and magnetic leakage signal Ha(x1,x2,x3), wherein, cell defect magnetic leakage signal Ha(x1,x2,x3)
It is according to cell defect size a1=24mm, a2=24mm, a3=4.8mm precalculates what is obtained using FInite Element.Unit lacks
Fall into magnetic leakage signal Ha(x1,x2,x3) in x1For the direction of magnetization, x2For perpendicular magnetization direction, x3For the thickness direction of measured material, expire
Sufficient cartesian coordinate rule.
Step 3：To cell defect magnetic leakage signal Ha(x1,x2,x3) carry out frequency-domain transform, the frequency-region signal T after being converteda
(α1,α2,α3).Wherein, frequency-domain transform meets following formula：
Wherein, α1, α2And α3It is x respectively1, x2And x3Spatial frequency variable on direction.
Step 4：Translation transformation operation is carried out along perpendicular magnetization direction to the frequency-region signal after conversion, obtained after translation transformation
Two frequency-region signal Ta1(α1,α2,α3) and Ta2(α1,α2,α3)。
Wherein, carry out translation transformation operation along perpendicular magnetization direction and meet equation below：
Step 5：By along two frequency-region signal T after the translation transformation of perpendicular magnetization directiona1(α1,α2,α3) and Ta2(α1,α2,
α3) operation is combined, the frequency-region signal T after being combinedcomb(α1,α2,α3).Wherein, combination operation meets equation below：
Tcomb(α1,α2,α3)=Ta1(α1,α2,α3)+Ta2(α1,α2,α3)。
Step 6：By the frequency-region signal T after combinationcomb(α1,α2,α3) reverse frequency-domain transform is carried out, obtain target defect
The magnetic leakage signal H of (24mm × 48mm × 4.8mm)tar(x1,x2,x3).Wherein, reverse frequency-domain transform meets following formula：
In the present embodiment, 2-D gray image such as Fig. 3 of obtained target defect magnetic leakage signal is calculated using this method
(a) shown in, Fig. 3 (b) illustrates the 2-D gray image for being calculated using finite element method and obtaining target defect magnetic leakage signal.From figure
In as can be seen that calculate that target defect is time-consuming need not to carry out FEM calculation using the method for the embodiment of the present invention, it is directly right
Known cell defect magnetic leakage signal is combined conversion, therefore the calculating time greatly reduces compared to finite element calculation time,
It can be seen that the method for the use embodiment of the present invention is calculated the magnetic leakage signal of target defect, with computation model is simple, speed
Fast advantage.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means to combine specific features, structure, material or the spy that the embodiment or example are described
Point is contained at least one embodiment of the present invention or example.In this manual, to the schematic representation of above-mentioned term not
Necessarily refer to identical embodiment or example.Moreover, specific features, structure, material or the feature of description can be any
One or more embodiments or example in combine in an appropriate manner.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that：Not
In the case of departing from the principle and objective of the present invention a variety of change, modification, replacement and modification can be carried out to these embodiments, this
The scope of invention is by claim and its equivalent limits.
Claims (8)
1. a kind of defect and magnetic leakage signal perpendicular magnetization direction unit combines method for solving, it is characterised in that comprise the following steps：
S1：According to default target defect size d1, d2, d3, choose cell defect size a1, a2, a3；
S2：Acquiring unit defect and magnetic leakage signal Ha(x1,x2,x3)；
S3：To cell defect magnetic leakage signal Ha(x1,x2,x3) carry out frequency-domain transform, the frequency-region signal T after being converteda(α1,α2,
α3)；
S4：Translation transformation operation is carried out along perpendicular magnetization direction to the frequency-region signal after conversion, two after translation transformation are obtained
Frequency-region signal Ta1(α1,α2,α3) and Ta2(α1,α2,α3)；
S5：By along two frequency-region signal T after the translation transformation of perpendicular magnetization directiona1(α1,α2,α3) and Ta2(α1,α2,α3) carry out group
Closing operation, the frequency-region signal T after being combinedcomb(α1,α2,α3)；
S6：By the frequency-region signal T after combinationcomb(α1,α2,α3) reverse frequency-domain transform is carried out, obtain the magnetic leakage signal of target defect
Htar(x1,x2,x3)。
2. defect and magnetic leakage signal perpendicular magnetization direction according to claim 1 unit combines method for solving, it is characterised in that
The target defect is combination of the cell defect along perpendicular magnetization direction, cell defect size a1, a2, a3With target defect size
d1, d2, d3Between meet following conditions：
a1=d1, a2=d2/ 2, a3=d3
Wherein, a1And d1It is the length of defect, along the direction of magnetization, a2And d2It is the width of defect, perpendicular magnetization direction, a3And d3It is
The depth of defect, along the thickness direction of measured material.
3. defect and magnetic leakage signal perpendicular magnetization direction according to claim 1 unit combines method for solving, it is characterised in that
The cell defect magnetic leakage signal Ha(x1,x2,x3) it is according to cell defect size a1, a2, a3Calculated and obtained by preset algorithm
, the cell defect magnetic leakage signal Ha(x1,x2,x3) in x1For the direction of magnetization, x2For perpendicular magnetization direction, x3For measured material
Thickness direction, meet cartesian coordinate rule.
4. defect and magnetic leakage signal perpendicular magnetization direction according to claim 3 unit combines method for solving, it is characterised in that
The preset algorithm at least includes：Magnetic dipole method, FInite Element or neural network.
5. defect and magnetic leakage signal perpendicular magnetization direction according to claim 1 unit combines method for solving, it is characterised in that
In the S3, when carrying out frequency-domain transform, equation below is met：
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6. defect and magnetic leakage signal perpendicular magnetization direction according to claim 1 unit combines method for solving, it is characterised in that
In the S4, when carrying out translation transformation operation along perpendicular magnetization direction, equation below is met：
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<msub>
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</msub>
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7. defect and magnetic leakage signal perpendicular magnetization direction according to claim 1 unit combines method for solving, it is characterised in that
In the S5, when being combined operation, equation below is met：
Tcomb(α1,α2,α3)=Ta1(α1,α2,α3)+Ta2(α1,α2,α3)。
8. defect and magnetic leakage signal perpendicular magnetization direction according to claim 1 unit combines method for solving, it is characterised in that
In the S6, when carrying out reverse frequency-domain transform, equation below is met：
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<mo>&Integral;</mo>
<mo>&Integral;</mo>
<mo>&Integral;</mo>
<msub>
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<mi>m</mi>
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<mi>&alpha;</mi>
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<mo>.</mo>
</mrow>
2
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| CN104299033A (en) * | 2014-09-24 | 2015-01-21 | 上海电力学院 | Magnetic flux leakage defect reconstruction method based on cuckoo searching and particle filter hybrid algorithm |
| CN104897769A (en) * | 2015-06-02 | 2015-09-09 | 上海电力学院 | Magnetic flux leakage testing defect reconstruction method based on improved particle swarm optimization algorithm |
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| CN104299033A (en) * | 2014-09-24 | 2015-01-21 | 上海电力学院 | Magnetic flux leakage defect reconstruction method based on cuckoo searching and particle filter hybrid algorithm |
| CN104897769A (en) * | 2015-06-02 | 2015-09-09 | 上海电力学院 | Magnetic flux leakage testing defect reconstruction method based on improved particle swarm optimization algorithm |
Non-Patent Citations (1)
| Title |
|---|
| HUANG S, WANG S: "《Magnetic Flux Leakage Testing》", 《NEW TECHNOLOGIES IN ELECTROMAGNETIC NON-DESTRUCTIVE TESTING. SPRINGER》 * |
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