CN108709934A - The micro-crack localization method of non-linear ultrasonic heteropleural excitation mixing based on small echo - Google Patents
The micro-crack localization method of non-linear ultrasonic heteropleural excitation mixing based on small echo Download PDFInfo
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Abstract
The micro-crack localization method for the non-linear ultrasonic heteropleural excitation mixing based on small echo that the invention discloses a kind of, including：First sensor and second sensor are separately positioned on to the both sides of test specimen, constitute non-linear lamb waves heteropleural excitation；The mixed frequency signal that acquisition fatigue crack present in test specimen generates under heteropleural incentive action；Time frequency analysis is carried out to mixed frequency signal by wavelet transformation, extracts the time that characteristic frequency and characteristic frequency occur, realizes the identification and positioning of fatigue damage structure.Wavelet transformation theory combination MATLAB software applications to field of non destructive testing are proposed a kind of method that micro-crack in sheet metal is detected and is positioned from time frequency analysis angle by the present invention；The present invention is combined by emulating with experiment, and constantly carries out the optimization of parameter, obtains the optimal parameter that can characterize mixed frequency signal characteristic frequency, the results showed that the correctness and feasibility of the non-linear lamb waves heteropleural excitation mixing localization method based on wavelet transformation.
Description
Technical field
The present invention relates to applied to Non-destructive Testing on Metal field damage reason location more particularly to it is a kind of utilize wavelet transformation pair
The method that micro-crack positioning is realized in non-linear lamb wave mixings detection signal analysis.
Background technology
It is inevitable in use that sheet metal is widely used in fields, the materials such as military, industry, medical treatment and space flight
Ground can be influenced by external factor such as load, temperature change and the corrosion for repeating to apply, and then generate fatigue, when fatigue is accumulative
Macroscopic cracking will be developed into a certain extent, cause safety accident and heavy economic losses.
The method about the non-destructive testing comparative maturity of metal has four major class at present：1) ultrasonic examination, this method are main
Detect metallurgical imperfection, such as slag inclusion, hole, crackle；2) x-ray inspection, the high density detected in part are mingled with, such as tungsten inclusion lacks
It falls into；3) fluorescent penetrant festing method, for detecting Surface-breaking defect；4) eddy current testing method detects the defect of surface and near surface.
These traditional lossless detection methods are feasible and effective for traditional open-delta winding, but for being caused by fatigue damage
Micro-crack it is helpless.It is metal sheeting design with the development of lamb waves theory and non-linear lamb wave mixings theory
The non-destructive testing of micro-crack provides new approaches.
The apparent team of Deng[1]Under second-order perturbation theoretical foundation, is had studied and met by the modal analysis method of waveguide excitation
Secondary lamb waves production in plate construction, the results showed that the generation efficiency of second harmonic is related to the constant of interface,
The result is that application of the second harmonic of lamb waves in terms of the non-destructive testing of thin-slab structure is laid a good foundation.Christoph
Pruell[2]Have with longitudinal wave and shear wave in terms of being experimentally confirmed the non-linear interaction with plastic material of lamb waves
Similar as a result, the higher hamonic wave for being indicated above lamb waves can be used for assessing the material damage of plasticity driving.Hereafter
Christoph Pruell continue with a pair of of wedge type transducer excitation and receive lamb waves and second harmonic, the results showed that are based on
The acoustics that lamb waves measure is non-linear directly related with fatigue damage, thus develops the non-linear characterization metal foil with lamb waves
The experimental arrangement of plate fatigue damage.
H Xu et al. study the structural damage of metal based on the nonlinear effect of lamb, propose time frequency analysis
Algorithm handles the non-linear lamb signals of acquisition.X Wan[3]When being emulated using finite element method, lamb is found
Wave produces second harmonic, and then propose non-linear lamb waves and be applied to when being acted on the microsize crackle in thin plate
Structure Damage Identification in light sheet.The same year, Z Su[4]The line in sheet metal micro-crack is successfully extracted in an experiment
Property and nonlinear properties, it was demonstrated that non-linear feasibility, accuracy and the practicability for micro-damage structure detection of lamb waves.
2017, Jiao Jingpin[5-6]Place team completes the frequency mixing ultrasonic detection for being closed crackle using bulk wave, is micro-crack in structure
Evaluation is made that positive exploration.Although the research about Metallic microcracks has been achieved for larger breakthrough, existing skill
Art and method can only be to providing qualitative judgement in sheet metal with the presence or absence of micro-crack, can not be to specific position existing for micro-crack
It sets and provides solution.
Invention content
The present invention is directed to the problem of fatigue damage being present in sheet metal is difficult to and positions, it is proposed that Yi Zhongji
In the micro-crack localization method of non-linear lamb waves heteropleural excitation mixing, time frequency analysis, extraction feature frequency are carried out to mixed frequency signal
The time that rate occurs with characteristic frequency, the identification and positioning of fatigue damage structure are realized, it is described below：
Based on the micro-crack localization method of non-linear lamb waves heteropleural excitation mixing, the described method comprises the following steps：
First sensor and second sensor are separately positioned on to the both sides of test specimen, it is different to constitute non-linear lamb waves
It encourages side；
The mixed frequency signal that acquisition fatigue crack present in test specimen generates under heteropleural incentive action；
Time frequency analysis is carried out to mixed frequency signal by wavelet transformation, extract that characteristic frequency and characteristic frequency occur when
Between, realize the identification and positioning of fatigue damage structure.
The mixed frequency signal that acquisition fatigue crack present in test specimen generates under heteropleural incentive action is specific
For：
The first fixed frequency S emitted by first via radio frequency output port10, sensed in the first sensor to match and second
Under the premise of the frequency response of device, a frequency sweeping ranges (f1, f2) and scanning step f0 are set；
By the frequency S of the second road radio frequency output port transmitting11It is f1, f1+f0, f1+2f0, f1+ to apply frequency successively
The excitation of 3f0 ... f2 sees the optimum efficiency i.e. mixed frequency signal amplitude looked into and recorded and mixing effect occur and reaches corresponding when maximum
Frequency S11, in this, as the driving source of the second road radio frequency output port 11；
According to non-linear lamb wave mixings theory, the frequency of target signature mixed frequency signal to be extracted is S10+S11。
Further, described to be specially to mixed frequency signal progress time frequency analysis by wavelet transformation：
It is mixed detection signal using finite element emulation software Abaqus pre-acquiring；
According to the principle of wavelet transformation, suitable wavelet basis function and scaling function are chosen, using MATLAB softwares to mixed
The signal of frequency detection signal acquisition carries out correlation analysis.
Wherein, described to be specially using finite element emulation software Abaqus pre-acquiring mixing detection signal：
The geometrical model for the tested exemplar established；Geometrical model is arranged into row energization load is related to analysis；
And it calculates mesh generation size and output parameter is configured.
Further, described to be specially into row energization load setting related to analysis to geometrical model：
The actuation duration of both sides pumping signal should meet with delay time such as the condition in following formula：
In formula：tslFor the actuation duration of left side excitation；tsrFor the actuation duration of right side excitation；trdFor right side pumping signal
Delay time；cglFor the group velocity of left side pumping signal；cgrFor the group velocity of right side pumping signal；A, b indicates distance.
When specific implementation, the above-mentioned actuation duration selection principle applied to both sides pumping signal is：
Under the premise of i.e. two row pumping signals can meet the generation of satisfaction mixing effect in plank, effect is emulated to improve
Rate and enhancing resolution ratio, usually choose minimum actuation duration value.
Further, the time of the characteristic frequency appearance is specially：
In formula, trThe time received for mixed frequency signal characteristic frequency.
The advantageous effect of technical solution provided by the invention is：
1, the present invention early has found and determines the position of micro-crack in structure, reduces because too early to being free of damage knot
The material of structure be replaced and caused by waste, improve the utilization rate of material；
2, the invention avoids because fail to find in time damaged structure there are due to the safety accident that causes, it is of the invention in addition
To predicting that the research of metal material remaining life has good reference；
3, the present invention has built non-linear lamb waves heteropleural excitation experiment porch, based on the research method of bulk wave mixing, into
The experiment of row lamb wave heteropleurals excitation mixing achievees the purpose that micro-crack identification positioning in metal sheeting design；
4, the present invention proposes wavelet transformation theory combination MATLAB software applications to field of non destructive testing a kind of from time-frequency
The method that analytic angle is detected and positions to micro-crack in sheet metal；
5, the present invention is combined by emulating with experiment, and constantly carries out the optimization of parameter, and acquisition can characterize mixing letter
The optimal parameter of number characteristic frequency, the results showed that the non-linear lamb waves heteropleural excitation mixing localization method based on wavelet transformation
Correctness and feasibility.
Description of the drawings
Fig. 1 is the overall flow figure of technical solution of the present invention；
Fig. 2 is the structural schematic diagram of non-linear lamb waves heteropleural excitation mixing checking test；
Fig. 3 is the schematic diagram of the corresponding geometric parameter of exemplar；
Fig. 4 is the schematic diagram of the mixed frequency signal product of simulation data；
Fig. 5 is the result schematic diagram that mixed frequency signal carries out time frequency analysis through wavelet transformation.
Specific implementation mode
To make the object, technical solutions and advantages of the present invention clearer, embodiment of the present invention is made below further
It is described in detail on ground.
Embodiment 1
A kind of micro-crack localization method based on the excitation mixing of non-linear lamb waves heteropleural, referring to Fig. 1, the method includes
Following steps：
101：First sensor and second sensor are separately positioned on to the both sides of test specimen, constitute non-linear lamb
Wave heteropleural encourages；
102：The mixed frequency signal that acquisition fatigue crack present in test specimen generates under heteropleural incentive action；
103：Time frequency analysis is carried out to mixed frequency signal by wavelet transformation, characteristic frequency is extracted and characteristic frequency occurs
Time, realize fatigue damage structure identification and positioning.
Wherein, the fatigue crack present in test specimen of the acquisition in step 102 generates under heteropleural incentive action
Mixed frequency signal is specially：
The first fixed frequency S emitted by first via radio frequency output port10, sensed in the first sensor to match and second
Under the premise of the frequency response of device, a frequency sweeping ranges (f1, f2) and scanning step f0 are set；
By the frequency S of the second road radio frequency output port transmitting11It is f1, f1+f0, f1+2f0, f1+ to apply frequency successively
The excitation of 3f0 ... f2 sees the optimum efficiency i.e. mixed frequency signal amplitude looked into and recorded and mixing effect occur and reaches corresponding when maximum
Frequency S11, in this, as the driving source of the second road radio frequency output port 11；
According to non-linear lamb wave mixings theory, the frequency of target signature mixed frequency signal to be extracted is S10+S11。
Wherein, it is specially to mixed frequency signal progress time frequency analysis by wavelet transformation in step 103：
It is mixed detection signal using finite element emulation software Abaqus pre-acquiring；
According to the principle of wavelet transformation, suitable wavelet basis function and scaling function are chosen, using MATLAB softwares to mixed
The signal of frequency detection signal acquisition carries out correlation analysis.
In conclusion 101- steps 103 propose one kind based on non-linear lamb to the embodiment of the present invention through the above steps
The micro-crack localization method of wave heteropleural excitation mixing, carries out time frequency analysis to mixed frequency signal, extracts characteristic frequency and characteristic frequency
The time of appearance realizes the identification and positioning of fatigue damage structure.
Embodiment 2
The scheme in the present embodiment 1 is further described in detail below in conjunction with specific attached drawing, example, is referred to down
Text：
201：Non-linear lamb waves heteropleural excitation mixing checking test is built, is acquired present in test specimen 14
The mixed frequency signal that fatigue crack 5 generates under heteropleural incentive action is analyzed for subsequent processing；
Wherein, experimental system is as shown in Fig. 2, the detailed operation of the step 201 is：
1) non-linear lamb waves heteropleural excitation mixing checking test is built；
The system includes：Two-way radio frequency exports corresponding first attenuator, 1 and second attenuator 2, for non-linear super
The low-pass filter structure 3 of the processing of two-way output signal 10,11 of sound instrument 13 is used to surpass second sensor 7 back to non-linear
The high-pass filtering structure 6 of the input signal processing port 12 of sound instrument 13,4 and of first sensor for realizing excitation signals input
Second sensor 7, the fatigue with 13 matching used computer 8 of non-linear ultrasonic instrument, tested sample 14 and processing on exemplar
Crackle 5 not only applied the duplexer 15 for encouraging but also detecting mixed frequency signal, for showing pumping signal and detecting showing for signal to sample
Wave device 9.The material for being wherein tested exemplar 14 is aluminium.When specific implementation, i.e. first sensor 4 and second sensor 7 is located at
The both sides of fatigue crack 5 constitute the non-linear lamb waves heteropleural excitation of the present invention.
2) heteropleural pumping signal is applied to tested exemplar 14；
Pumping signal is adjusted by computer 8, first via RF output end 10, the second road radio frequency through non-linear ultrasonic instrument 13
Output port 11 acts on tested exemplar 14.It, need to be to excitation signals to make the mixed frequency signal received response best
Frequency is pre-seted.
Specific implementation mode is as follows：The first fixed frequency S emitted by first via radio frequency output port 1010, what is matched
Under the premise of the frequency response of first sensor 4 and second sensor 7, a frequency sweeping ranges (f1, f2) and scanning are set
Step-length f0, the frequency S that the second road radio frequency output port 11 is emitted11Apply frequency successively according to the range and step-length that are set above
For f1, the optimum efficiency i.e. mixed frequency signal looked into and recorded and mixing effect occur is seen in the excitation of f1+f0, f1+2f0, f1+3f0 ... f2
Amplitude reaches corresponding frequency S when maximum11, in this, as the driving source of the second road radio frequency output port 11.According to non-linear super
Sound mixing is theoretical, and the frequency of target signature mixed frequency signal to be extracted is S10+S11。
The embodiment of the present invention is that the RAM-5000-SNAP non-linear ultrasonics instrument 13 of support Beijing Tai Science and Technology Ltd.s is
Example illustrates.When specific implementation, the embodiment of the present invention to RAM-5000-SNAP non-linear ultrasonics instrument 13, first sensor 4,
The model of second sensor 7 is not limited, as long as the device of above-mentioned function can be realized.
202：It is mixed detection signal using finite element emulation software Abaqus pre-acquiring；
1) geometrical model parameter of the tested exemplar 14 involved in establishment step 201；
Wherein, the elasticity modulus of geometrical model, the parameter setting bullet corresponding with tested exemplar 14 of density and size are emulated
The actual parameters such as property modulus, density and size are consistent.Such as：Aluminium sheet parameter setting elasticity modulus is 208420GPa, Poisson
Than for 0.2959, density 7.85E-009tone/mm3.
When specific implementation, the embodiment of the present invention is not limited the value of above-mentioned parameters, according in practical application
Carry out set.
2) above-mentioned geometrical model is arranged into row energization load is related to analysis.
The heteropleural exciting signal frequency of emulation is according to the Optimum Excitation frequency S determined in step 20110And S11It is configured.
In order to ensure arbitrarily there is the position of micro-crack between two sensors (first sensor 4 and second sensor 7), can meet
It is mixed desired condition, actuation duration and the delay time of both sides pumping signal should meet such as the condition in formula (1-3)：
In formula：
tslFor the actuation duration of left side excitation；tsrFor the actuation duration of right side excitation；trdFor the delay of right side pumping signal
Time；cglFor the group velocity of left side pumping signal；cgrFor the group velocity of right side pumping signal；A, distance such as Fig. 3 institutes that b is indicated
Show.
To above-mentioned both sides pumping signal apply actuation duration selection principle be：Occur to be that two row swash meeting mixing effect
Under the premise of encouraging signal can meet in plank, to improve simulation efficiency and enhancing resolution ratio, usually chooses and meet above formula (1-
2) the minimum actuation duration value of condition.
3) it calculates mesh generation size and output parameter is configured.
The foundation of mesh generation is the physical characteristic that size of mesh opening allows for indicating guided waves propagation, i.e., must use minimum
Wavelength XminCarry out the communication mode in descriptive analysis frequency range.The δ x of each element of grid1With δ x2Spatial spreading should meet
Inequality (4)：
In formula：λminFor minimum wavelength；δx1, δ x2For the minimum dimension of grid different directions.
It is that must select suitable time step to need another stable condition met simultaneously, so as to when less than one
Between in the case of step-length, wave will not be propagated in a grid spacing, in general, time discretization must satisfy conditional inquality
(5)：
In formula：clFor velocity of longitudinal wave.
After the geometrical model and relative parameters setting of emulation, the mixed frequency signal of simulation data is as shown in Figure 4.
203：According to the principle of wavelet transformation, suitable wavelet basis function and scaling function are chosen, uses MATLAB softwares
Correlation analysis is carried out to the signal of above-mentioned acquisition, advantage of the wavelet transformation on time frequency analysis is made full use of, extracts characteristic frequency
With the correspondence time of its generation, the positioning purpose of defect is realized.
The step it is detailed operation be：
1) wavelet transformation theory model characterizes.
It is theoretical it is found that wavelet coefficient exists with signal Analysis, the selection of scaling function and translational movement by continuous wavelet transform
The relationship such as formula (6)：
In formula：
F (t) is that the mixing that last step is measured from system detects signal；A is the scale of wavelet transformation, characterizes small echo
Stroke；τ is the translational movement of small echo.
2) MATLAB tools are used to carry out parameter optimization.
By choosing Harr small echos, Daubechies small echos, Mexican Hat small echos, Meyer small echos and Morlet small echos
This five kinds of common wavelet basis functions and different scale a is attempted under different wavelet basis to the emulation mixed frequency signal that extracts
Processing analysis is carried out using MATLAB, the best wavelet that can characterize the mixed frequency signal of extraction and scale a is obtained, passes through
MATLAB softwares achieve the purpose that Optimization of Wavelet basic function and attempt different scale a under different wavelet basis, and then will join
Number is applied to engineering in practice.
3) time frequency analysis is carried out to mixed frequency signal and completes feature extraction.
Based on 201 non-linear lamb waves heteropleural of above-mentioned steps encourage experimental system build with utilize step 202 in obtain
MATLAB wavelet basis functions, wavelet scale Optimal Parameters, when carrying out analyzing processing acquisition to the mixed frequency signal that extracts of experiment
Frequency collection of illustrative plates reads and records characteristic frequency amplitude and the time of characteristic frequency occur, works convenient for follow-up comparison.
Embodiment 3
According to the proposed method, occurs the time such as formula of characteristic frequency on the crack theory processed in step 201
(7) shown in：
In formula,
trThe time received for mixed frequency signal characteristic frequency.
The feature that will be extracted in the time of the mixed frequency signal characteristic frequency appearance calculated according to the practical exemplar and step 203
The time that frequency occurs is compared, if the 10^-3 that two results are consistent or the error amount of theoretical value and experiment value is theoretical value
Secondary magnitude is even more small, then proves the correctness and feasibility of the algorithm.
This method has carried out specific finite element simulation and data analysis, and time-frequency is carried out to mixed frequency signal according to wavelet transformation
Analysis the results are shown in Figure 5, as can be seen from Figure 5 micro-crack occur time and crackle existing for physical location theory
Time is consistent, it was demonstrated that the feasibility of this method.
Bibliography
[1]Mingxi Deng,Ping Wang,Xiafu Lv.P2L-2 Study of Second-Harmonic
Generation of Lamb Waves Propagating in Layered Planar Structures with Weak
Interfaces[P].Ultrasonics Symposium,2006.IEEE,2006.
[2]Pruell C,Kim J,Qu J,et al.EVALUATION OF FATIGUE DAMAGE USING
NONLINEAR GUIDED WAVES[J].Smart Materials&Structures,2009,18(3):035003.
[3]Xiang W,Zhang Q,Xu G,et al.Numerical Simulation of Nonlinear Lamb
Waves Used in a Thin Plate for Detecting Buried Micro-Cracks[J].Sensors,2014,
14(5):8528-8546.
[4]Su Z,Zhou C,Hong M,et al.Acousto-ultrasonics-based fatigue damage
characterization:Linear versus,nonlinear signal features[J].Mechanical
Systems&Signal Processing,2014,45(1):225-239.
[5]Jiao Jingpin, Meng Xiangji, Lv Hongtao wait micro-crack Nonlinear Lamb wave propagation detection side in plates of the based on Hertz contact
Method research [J]Mechanical engineering journal, 2017,53 (12):60-69.
[6]Jiao Jingpin, Sun Junjun, Wu Bin wait structural hair crackings to be mixed non-linear lamb wave detecting methods research;J]Sound
Learn journal, 2013 (6):648-656.
To the model of each device in addition to doing specified otherwise, the model of other devices is not limited the embodiment of the present invention,
As long as the device of above-mentioned function can be completed.
It will be appreciated by those skilled in the art that attached drawing is the schematic diagram of a preferred embodiment, the embodiments of the present invention
Serial number is for illustration only, can not represent the quality of embodiment.
The foregoing is merely presently preferred embodiments of the present invention, is not intended to limit the invention, it is all the present invention spirit and
Within principle, any modification, equivalent replacement, improvement and so on should all be included in the protection scope of the present invention.
Claims (7)
1. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing based on small echo, which is characterized in that the method packet
Include following steps：
First sensor and second sensor are separately positioned on to the both sides of test specimen, non-linear lamb waves heteropleural is constituted and swashs
It encourages；
The mixed frequency signal that acquisition fatigue crack present in test specimen generates under heteropleural incentive action；
Time frequency analysis is carried out to mixed frequency signal by wavelet transformation, is extracted the time that characteristic frequency and characteristic frequency occur, it is real
The identification and positioning of existing fatigue damage structure.
2. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing according to claim 1 based on small echo,
It is characterized in that, the mixed frequency signal that acquisition fatigue crack present in test specimen generates under heteropleural incentive action is specific
For：
The first fixed frequency S emitted by first via radio frequency output port10, in the first sensor and second sensor to match
Under the premise of frequency response, a frequency sweeping ranges (f1, f2) and scanning step f0 are set；
By the frequency S of the second road radio frequency output port transmitting11It is f1, f1+f0, f1+2f0, f1+3f0 ... f2 to apply frequency successively
Excitation, see look into and record occur mixing effect optimum efficiency i.e. mixed frequency signal amplitude reaches corresponding frequency S when maximum11,
In this, as the driving source of the second road radio frequency output port 11；
According to non-linear lamb wave mixings theory, the frequency of target signature mixed frequency signal to be extracted is S10+S11。
3. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing according to claim 1 based on small echo,
It is characterized in that, it is described to be specially to mixed frequency signal progress time frequency analysis by wavelet transformation：
It is mixed detection signal using finite element emulation software Abaqus pre-acquiring；
According to the principle of wavelet transformation, suitable wavelet basis function and scaling function are chosen, mixing is examined using MATLAB softwares
The signal for surveying signal acquisition carries out correlation analysis.
4. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing according to claim 3 based on small echo,
It is characterized in that, it is described to be specially using finite element emulation software Abaqus pre-acquiring mixing detection signal：
The geometrical model for the tested exemplar established；Geometrical model is arranged into row energization load is related to analysis；
And it calculates mesh generation size and output parameter is configured.
5. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing according to claim 4 based on small echo,
It is characterized in that, it is described to be specially into row energization load setting related to analysis to geometrical model：
The actuation duration of both sides pumping signal should meet with delay time such as the condition in following formula：
In formula：tslFor the actuation duration of left side excitation；tsrFor the actuation duration of right side excitation；trdFor prolonging for right side pumping signal
When the time；cglFor the group velocity of left side pumping signal；cgrFor the group velocity of right side pumping signal；A indicates distance.
6. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing according to claim 5 based on small echo,
It is characterized in that, the actuation duration selection principle applied to both sides pumping signal is：
Meet mixing effect occur be two row pumping signals can meet in plank under the premise of, for improve simulation efficiency with
Enhance resolution ratio, usually chooses minimum actuation duration value.
7. the micro-crack localization method of the non-linear ultrasonic heteropleural excitation mixing according to claim 5 based on small echo,
It is characterized in that, the time that the characteristic frequency occurs is specially：
In formula, trFor the time that mixed frequency signal characteristic frequency receives, b indicates distance.
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110687213A (en) * | 2019-08-26 | 2020-01-14 | 天津大学 | Method for selecting optimal excitation frequency of nonlinear ultrasonic frequency mixing |
| CN110702801A (en) * | 2019-08-26 | 2020-01-17 | 天津大学 | Plate-shaped structure fatigue crack positioning system and method based on same-side ultrasonic frequency mixing wavelet |
| CN110702800A (en) * | 2019-08-26 | 2020-01-17 | 天津大学 | Micro-crack positioning system and method based on nonlinear ultrasonic different-side time-delay mixing signal |
| WO2022242238A1 (en) * | 2021-05-19 | 2022-11-24 | 西南交通大学 | Method for measuring offset angle of fatigue microcrack on basis of nonlinear ultrasound |
| WO2023193304A1 (en) * | 2022-04-08 | 2023-10-12 | 清华大学 | Crack detection method and detection device based on data fusion and storage medium |
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| CN110687213A (en) * | 2019-08-26 | 2020-01-14 | 天津大学 | Method for selecting optimal excitation frequency of nonlinear ultrasonic frequency mixing |
| CN110702801A (en) * | 2019-08-26 | 2020-01-17 | 天津大学 | Plate-shaped structure fatigue crack positioning system and method based on same-side ultrasonic frequency mixing wavelet |
| CN110702800A (en) * | 2019-08-26 | 2020-01-17 | 天津大学 | Micro-crack positioning system and method based on nonlinear ultrasonic different-side time-delay mixing signal |
| WO2022242238A1 (en) * | 2021-05-19 | 2022-11-24 | 西南交通大学 | Method for measuring offset angle of fatigue microcrack on basis of nonlinear ultrasound |
| US11946735B2 (en) | 2021-05-19 | 2024-04-02 | Southwest Jiaotong University | Method for measuring deviation angle of fatigue microcrack based on nonlinear ultrasound |
| WO2023193304A1 (en) * | 2022-04-08 | 2023-10-12 | 清华大学 | Crack detection method and detection device based on data fusion and storage medium |
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