CN110687211A - Reinforced concrete member acoustic emission crack source positioning method based on corrected wave speed - Google Patents

Reinforced concrete member acoustic emission crack source positioning method based on corrected wave speed Download PDF

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CN110687211A
CN110687211A CN201910998930.3A CN201910998930A CN110687211A CN 110687211 A CN110687211 A CN 110687211A CN 201910998930 A CN201910998930 A CN 201910998930A CN 110687211 A CN110687211 A CN 110687211A
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crack
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周琦
王家琛
门进杰
兰涛
郭琳颖
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Xian University of Architecture and Technology
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Abstract

A reinforced concrete member acoustic emission crack source positioning method based on modified wave speed is characterized in that four-point bending loading is carried out on a reinforced concrete member, lead breaking tests are carried out, and acoustic emission signals are collected by an acoustic emission tester; calculating the propagation speed of acoustic emission waves in concrete members at different crack development stages; considering the influence of the number, the maximum width and the maximum depth of cracks generated in the stress process of the reinforced concrete member on the propagation speed of the acoustic emission wave, and calculating the wave speed of the corrected acoustic emission wave; and based on a time difference positioning method, adopting the corrected wave speed to position the position of the crack in the reinforced concrete member. The method has the advantages of simple and convenient calculation process, clear physical meaning of parameters and strong operability; meanwhile, the influence of crack development on the acoustic emission wave velocity is considered, the positioning precision can be obviously improved by positioning the crack source by adopting the corrected wave velocity, a new way is provided for crack positioning analysis of the reinforced concrete member, and the method has an important effect on safety evaluation of engineering.

Description

Reinforced concrete member acoustic emission crack source positioning method based on corrected wave speed
Technical Field
The invention belongs to the technical field of acoustic emission monitoring, and particularly relates to a method for positioning an acoustic emission crack source of a reinforced concrete member based on wave velocity correction.
Background
Acoustic emission is a concomitant phenomenon in which a material generates transient elastic waves due to the instantaneous release of energy during deformation, crack generation and propagation. The characteristics of the position, damage degree and the like of a defect source can be determined by detecting acoustic emission signals released by the structural defects in the loading process. In the field of civil engineering, there have been studies on the determination of the crack generation position of a concrete structure using an acoustic emission means, but most of them have not considered the influence of crack development on the propagation speed of an acoustic emission wave, and have used the initial wave speed for calculation, resulting in less than ideal positioning accuracy.
Disclosure of Invention
In order to overcome the defects of the prior art and improve the crack positioning precision, the invention aims to provide the reinforced concrete member acoustic emission crack source positioning method based on the corrected wave velocity, which has the advantages of simple and convenient calculation process, clear parameter physical significance, strong operability and the like and provides a new way for positioning the cracks of the reinforced concrete member.
In order to achieve the purpose, the invention adopts the technical scheme that:
the acoustic emission crack source positioning method for the reinforced concrete member based on the corrected wave velocity comprises the following steps of:
step 1, four-point bending loading is carried out on the reinforced concrete member, a lead breaking test is carried out, and meanwhile, acoustic emission signals are collected.
And 2, calculating the propagation speed v of the acoustic emission waves in the concrete component at different crack development stages of the component by using the acoustic emission signals.
Step 3, considering the number N and the maximum width w of cracks generated in the stress process of the reinforced concrete membermaxAnd a maximum depth hmaxCalculating the wave velocity v of the acoustic emission wave after correction on the influence of the propagation velocity of the acoustic emission wavem
Step 4, based on the time difference positioning method, adopting the corrected wave velocity vmDetermining the distance d between the crack in the reinforced concrete member and the sensor, wherein the calculation formula is as follows:
in the formula, Δ t is the arrival of the acoustic emission signal at the two sensors S1And S2The time difference of (a); v. ofmA modified wave velocity for considering the influence of crack propagation; d is two sensors S1And S2The distance between them.
Further, in order to calculate the wave velocity more accurately, the error between the distance from the lead-breaking point calculated from the acoustic emission wave velocity to the sensor and the actually measured distance is minimized, and the calculation formula for deducing the propagation velocity of the acoustic emission wave in the reinforced concrete member is as follows:
Figure BDA0002240660410000022
in the formula,. DELTA.tjThe acoustic emission signal reaches the sensor S when the jth lead is broken1And S2Time difference of (1), Δ DjLead breaking point is reached to the sensor S when the jth lead breaking is carried out1And S2The measured distance difference of (a);
further, the number N of cracks of the reinforced concrete member and the maximum width w are consideredmaxAnd a maximum depth hmaxModified wave velocity v for influencing acoustic emission wave velocitymThe calculation formula is as follows:
vm=αNαwαhv
in the formula, alphaNThe influence coefficient of the crack number on the propagation speed of the acoustic emission wave is shown; alpha is alphawThe influence coefficient of the maximum width of the crack on the propagation speed of the acoustic emission wave is shown; a ishThe coefficient of influence of the maximum depth of the crack on the propagation velocity of the acoustic emission wave.
Further, the results of the four-point bending test and the lead breaking test are taken as alphanN scatter diagram, fitting according to scatter distribution rule to obtain influence coefficient alpha of crack number n and acoustic emission wave propagation velocity vnThe following relationships exist:
αn=βn1-βn2·n
in the formula, alphanThe calculation formula is alpha for the influence coefficient of the change of the number of the cracks on the acoustic emission wave speedn=vn+1/vnWherein v isn+1、vnRespectively the wave velocity when the maximum depth and the maximum width of the crack are kept unchanged, and when the test piece has n +1 cracks and n cracks; beta is an1And betan2Is a fitting coefficient; n is the number of the cracks of the reinforced concrete member in each sensor interval;
here, because the number of component cracks increases with increasing load, αn=vn+1/vnIs a calculation of the amount of change in wave velocity after each occurrence of a crack, alphan=βn1-βn2N represents the relationship between the wave velocity variation and the number of cracks, so that the variation of the wave velocity after each crack appears and the number of cracks at that time are recorded, and beta can be fittedn1And betan2To calculate its effect on the amount of wave velocity variation from the number of cracks.
Further, the influence coefficient of the maximum width of the reinforced concrete member crack on the wave velocity of the acoustic emission wave is made to be alpha according to the results of the four-point bending test and the lead breaking testw-wmaxA scatter diagram, which is fitted according to the scatter distribution rule to obtain the maximum width w of the crackmaxCoefficient of influence alpha on propagation velocity v of sound emissionwThe following relationships exist:
αw=βw1-βw2·wmax
in the formula, alphawThe calculation formula is alpha for the influence coefficient of the maximum width change of the crack on the acoustic emission wave speedw=vu/vlWherein v isl、vuThe wave velocity when the component is loaded and unloaded under the same loading stage; betaw1And betaw2Is a fitting coefficient; w is amaxThe maximum width of the reinforced concrete member crack in each sensor interval is obtained.
Here, because the concrete sample crack opens when loading, the concrete sample crack closes when unloading, the maximum crack width changes in this process; are respectively provided withThe wave velocity changes during crack opening and closing can be obtained by calculating the wave velocity through a lead-breaking test during loading and unloading, and v is usedu/vlIs to represent vuIndicating the wave speed, v, at unloadinglRepresenting the wave velocity at loading. Because the load of each stage is continuously increased and the opening degree of the crack is also increased during loading, the relationship between the maximum crack width and the wave velocity variation can be fitted by recording the maximum width and the wave velocity variation of the crack of each loading stage. Alpha is alphaw=vu/vlCalculation method for representing wave velocity variation, which can be measured by lead-breaking test, alphaw=βw1w2·wmaxDenotes the relationship between the wave velocity change and the maximum crack width, wherein wmaxCan be determined experimentally, i.e. by determining betaw1And betaw2The influence of the crack width on the wave velocity variation can be calculated from the value of (2).
Further, the influence coefficient of the maximum crack depth of the reinforced concrete member on the wave velocity of the acoustic emission wave is determined as alpha according to the results of the four-point bending test and the lead breaking testh-hmaxA scatter diagram, which is fitted according to the scatter distribution rule to obtain the maximum depth h of the crackmaxCoefficient of influence a on the propagation velocity v of an acoustic emission wavehThe following relationships exist:
αh=βh1h2·hmax
in the formula, alphahThe influence coefficient of the maximum depth change of the crack on the acoustic emission wave speed is calculated by the formula of alphah=vj/viWherein v isi、vjAcoustic emission wave speeds corresponding to the maximum depths of different cracks when the number of the cracks is close to the maximum width; beta is ah1And betah2Is a fitting coefficient; h ismaxThe maximum crack depth of the reinforced concrete member in each sensor interval is obtained.
Also here αh=vj/viRepresenting the change in wave velocity at the maximum depth change of the maximum crack, alphah=βh1h2·hmaxRelationship representing maximum crack depth and wave velocity variationI.e. the change in wave velocity can be calculated from the fracture depth.
Further, the equation of the time difference positioning method based on the corrected wave velocity is as follows:
Figure BDA0002240660410000041
in the formula, Δ t is the arrival of the acoustic emission signal at the two sensors S1And S2The time difference of (a); v. ofmA modified wave velocity for considering the influence of crack propagation; d is two sensors S1And S2The distance between them.
Crack position d and actual crack position d determined based on modified wave velocity positioning method0Is satisfied with the error between
Figure BDA0002240660410000042
The positioning method based on the corrected wave velocity can be used for positioning and analyzing the acoustic emission crack source of the reinforced concrete member.
Compared with the prior art, the method has the advantages of simple and convenient calculation process, clear physical meaning of the parameters and strong operability; meanwhile, the influence of the crack development of the concrete member on the acoustic emission wave velocity is considered, the positioning precision can be obviously improved by positioning the crack source by adopting the correction wave velocity, a new way is provided for the crack positioning of the reinforced concrete member, and the method has an important effect on the safety evaluation of the engineering.
Drawings
FIG. 1 is a flow chart of the present invention.
FIG. 2 is a map of acoustic emission time difference location in accordance with the present invention.
Fig. 3 is a diagram of the sensor placement and lead break location of the present invention.
FIG. 4 is a curve fitting the influence coefficient of the number of cracks
FIG. 5 is a maximum fracture width coefficient of influence fit curve.
FIG. 6 is a maximum fracture depth coefficient of influence fit curve.
FIG. 7 is a graph of acoustic emission wave velocity changes at different loading stages.
FIG. 8 is a comparison of crack localization results, wherein (a) is a test crack distribution map, (b) is a crack localization map based on a fixed wave velocity, and (c) is a crack localization map based on a varying wave velocity.
Detailed Description
The invention is further described in detail below with reference to the drawings and examples, but the invention is not limited thereto.
As shown in FIG. 1, the acoustic emission crack source positioning method for the reinforced concrete member based on the corrected wave velocity provided by the invention comprises the following steps:
step 1, four-point bending loading is carried out on the reinforced concrete member, lead breaking is carried out at a preset lead breaking position, and meanwhile, an acoustic emission signal is collected. Lead break locations are provided at the edge of each sensor and at the center of the bottom of the concrete member to determine the speed of wave propagation between the sensors.
And 2, calculating the propagation speed v of the acoustic emission waves in the concrete component at different crack development stages of the component by using the acoustic emission signals. For more accurate calculation of the wave velocity, the error between the distance from the lead-breaking point calculated from the acoustic emission wave velocity to the sensor and the actually measured distance is minimized, and the calculation formula for deducing the propagation velocity of the acoustic emission wave in the reinforced concrete member is as follows:
Figure BDA0002240660410000051
in the formula,. DELTA.tjThe acoustic emission signal reaches the sensor S when the jth lead is broken1And S2Time difference of (1), Δ DjLead breaking point is reached to the sensor S when the jth lead breaking is carried out1And S2The measured distance difference.
And 3, the acoustic emission acoustic wave signal is easily influenced by noise in the external environment, so a filtering measure needs to be taken in the early stage, and the environmental noise signal needs to be eliminated during data processing. In the invention, the number N and the maximum width w of cracks generated in the stress process of the reinforced concrete member are consideredmaxAnd a maximum depth hmaxCalculating the modified acoustic emission wave based on the influence on the propagation velocity of the acoustic emission waveFast UmThe calculation formula is as follows:
vm=αNαwahv (2)
in the formula, alphaNThe influence coefficient of the crack number on the propagation speed of the acoustic emission wave is shown; alpha is alphawThe influence coefficient of the maximum width of the crack on the propagation speed of the acoustic emission wave is shown; a ishThe coefficient of influence of the maximum depth of the crack on the propagation velocity of the acoustic emission wave.
Wherein, further, the results of the four-point bending test and the lead breaking test are used as alphan-n scatter plots, the following relationships being derived from the scatter distribution law:
αn=βn1-βn2·n
in the formula, alphanThe calculation formula is alpha for the influence coefficient of the change of the number of the cracks on the acoustic emission wave speedn=vn+1/vnWherein v isn+1、vnRespectively the wave velocity when the maximum depth and the maximum width of the crack are kept unchanged, and when the test piece has n +1 cracks and n cracks; beta is an1And betan2Is a fitting coefficient; n is the number of the cracks of the reinforced concrete member in each sensor interval;
the influence coefficient of the maximum width of the crack of the reinforced concrete member on the wave velocity of the acoustic emission wave is determined as alpha according to the results of the four-point bending test and the lead breaking testw-wmaxAnd (3) obtaining a scatter diagram according to a scatter distribution rule as follows:
αw=βw1-βw2·wmax(4)
in the formula, alphawThe calculation formula is alpha for the influence coefficient of the maximum width change of the crack on the acoustic emission wave speedw=vu/vlWherein v isl、vuThe wave velocity when the component is loaded and unloaded under the same loading stage; beta is aw1And betaw2Is a fitting coefficient; w is amaxThe maximum width of the reinforced concrete member crack in each sensor interval is obtained.
The influence coefficient of the maximum crack depth of the reinforced concrete member on the wave speed of the acoustic emission wave is determined according toResults of four-point bending test and lead breaking test as αh-hmaxAnd (3) obtaining a scatter diagram according to a scatter distribution rule as follows:
αh=βh1h2·hmax(5)
in the formula, alphahThe influence coefficient of the maximum depth change of the crack on the acoustic emission wave speed is calculated by the formula of alphah=vj/viWherein v isi、vjAcoustic emission wave speeds corresponding to the maximum depths of different cracks when the number of the cracks is close to the maximum width; beta is ah1And betah2Is a fitting coefficient; h ismaxThe maximum crack depth of the reinforced concrete member in each sensor interval is obtained.
Step 4, based on the time difference positioning method, adopting the corrected wave velocity vmDetermining the distance d between the crack in the reinforced concrete member and the sensor, wherein the calculation formula is as follows:
Figure BDA0002240660410000071
in the formula, Δ t is the arrival of the acoustic emission signal at the two sensors S1And S2The time difference of (a); v. ofmA modified wave velocity for considering the influence of crack propagation; d is two sensors S1And S2The distance between them.
The wave velocity change of the acoustic emission wave in the concrete member at different loading stages is approximately divided into three stages: (1) and (3) the concrete is not cracked: the edge strain of the tensile region of the concrete member at the stage is small, the concrete is not cracked, the whole concrete member is in an elastic working stage, and the change of the propagation speed of the acoustic emission wave in the plate is small at the moment. With the continuous increase of load, the concrete member begins to generate fine cracks, the propagation path of the acoustic emission wave is interfered, and the wave speed begins to decrease. (2) And (3) a crack working stage: in the stage, due to the increase of external load, the crack development speed of the concrete member is increased, the number, the width and the depth of the cracks are obviously increased and gradually extend from the bottom to the top, and the propagation speed of the acoustic emission wave is greatly reduced due to the development of the cracks. (3) A destruction stage: the cracks of the concrete member at the stage further develop, when the concrete member is continuously loaded, the development of the number, the width and the depth of the cracks tends to be stable, and the change of the propagation speed of the acoustic emission wave tends to be smooth. In summary, the wave velocity of the acoustic emission wave in the whole stress process of the concrete member is changed regularly, and the change characteristics are obvious in different crack development stages. Therefore, the method for positioning the crack source of the concrete member by adopting the corrected wave speed considering the influence of crack development is feasible.
In one embodiment of the invention, the reinforced concrete member is a reinforced concrete slab with the dimensions shown in table 1, the reinforcement strength is HPB300, the protective layer thickness is 20mm, in this embodiment, 4 sensors are arranged at the bottom of the slab, the acoustic emission time difference positioning principle is shown in fig. 2, and the sensor arrangement and lead breaking position are shown in fig. 3.
FIG. 4 is a curve fitting the influence coefficient of the number of cracks, and the fitting result is:
αn=0.99675-0.00293·n
FIG. 5 is a maximum fracture width influence coefficient fitting curve, the fitting result is:
αw=0.99096-0.00244·wmax
FIG. 6 is a maximum fracture depth influence coefficient fitting curve, and the fitting result is:
αh=1.00092-0.0022·hmax
FIG. 7 is a graph of the variation of the acoustic emission wave velocity at different loading stages, which shows that the crack grows deeper as the number of loading stages increases, resulting in a gradual decrease of the propagation velocity of the acoustic emission wave.
FIG. 8(a) shows actual crack development of the test piece; FIG. 8(b) shows the positioning result of the crack of the test piece by using a fixed wave velocity; FIG. 8(c) shows the result of positioning the crack of the test piece by using the corrected wave velocity. From the figure, the accuracy of positioning using the modified wave velocity is better than that using the fixed wave velocity.
TABLE 1 test piece parameters
Figure BDA0002240660410000081
The method comprises the steps of adopting a sound emission crack source positioning method based on the corrected wave velocity to evaluate and check the reinforced concrete member, and determining the crack position d and the actual crack position d based on the corrected wave velocity positioning method0Error therebetween satisfies
Figure BDA0002240660410000082
The positioning method based on the corrected wave velocity can be used for positioning and analyzing the acoustic emission crack source of the reinforced concrete member.
In the embodiment, the result obtained by calculation of the acoustic emission crack source positioning method based on the modified wave velocity and the actual position of the crack are verified, and the analysis result of the crack positioning error is shown in table 2.
TABLE 2 wave velocity positioning error for two methods
Figure BDA0002240660410000083
Figure BDA0002240660410000091
It can be seen that the errors of judging the crack positions by adopting the corrected wave velocity are all within 10 percent, and the precision can be greatly improved compared with the fixed wave velocity.
The above description is only of the preferred embodiments of the present invention, and it should be noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention and these are intended to be within the scope of the invention.

Claims (8)

1. A reinforced concrete member acoustic emission crack source positioning method based on modified wave speed is characterized by comprising the following steps:
step 1, carrying out four-point bending loading on a reinforced concrete member, carrying out a lead-breaking test, and simultaneously collecting an acoustic emission signal;
step 2, calculating the propagation speed v of acoustic emission waves in the reinforced concrete member at different crack development stages of the member by using the acoustic emission signals;
step 3, considering the number N and the maximum width w of cracks generated in the stress process of the reinforced concrete membermaxAnd a maximum depth hmaxCalculating the wave velocity v of the acoustic emission wave after correction on the influence of the propagation velocity of the acoustic emission wavem
Step 4, based on the time difference positioning method, adopting the corrected wave velocity vmDetermining the distance d between the crack in the reinforced concrete member and the sensor, wherein the calculation formula is as follows:
Figure FDA0002240660400000011
in the formula, Δ t is the arrival of the acoustic emission signal at the two sensors S1And S2The time difference of (a); v. ofmA modified wave velocity for considering the influence of crack development; d is two sensors S1And S2The distance between them.
2. The method for positioning acoustic emission crack source of reinforced concrete member based on modified wave velocity as claimed in claim 1, wherein in step 2, in order to calculate the wave velocity more accurately, the error of the distance between the lead-breaking point calculated from the acoustic emission wave velocity and the sensor and the actually measured distance is minimized, and the calculation formula of the acoustic emission wave propagation velocity v in the reinforced concrete member is derived as follows:
Figure FDA0002240660400000012
in the formula,. DELTA.tjThe acoustic emission signal reaches the sensor S when the jth lead is broken1And S2Time difference of (1), Δ DjLead breaking point is reached to the sensor S when the jth lead breaking is carried out1And S2The measured distance difference.
3. The method for positioning acoustic emission crack source of reinforced concrete member based on modified wave speed as claimed in claim 1,the wave velocity v of the corrected acoustic emission wavemThe calculation formula of (a) is as follows:
vm=αNαwahv
in the formula, alphaNThe influence coefficient of the crack number N on the propagation velocity v of the acoustic emission wave is shown; alpha is alphawIs the maximum width w of the crackmaxThe influence coefficient on the propagation velocity v of the acoustic emission wave; a ishIs the maximum depth h of the crackmaxCoefficient of influence on the propagation velocity v of the acoustic emission wave.
4. The acoustic emission crack source positioning method for reinforced concrete members based on wave velocity modification according to claim 3, wherein α is determined according to the results of four-point bending test and lead breaking testnN scatter diagram, fitting according to scatter distribution rule to obtain influence coefficient alpha of crack number n and acoustic emission wave propagation velocity vnThe following relationships exist:
αn=βn1n2·n
in the formula, alphanThe calculation formula is alpha for the influence coefficient of the change of the number of the cracks on the acoustic emission wave speedn=vn+1/vnWherein v isn+1、vnRespectively the wave velocity when the maximum depth and the maximum width of the crack are kept unchanged, and when the test piece has n +1 cracks and n cracks; beta is an1And betan2Is a fitting coefficient; n is the number of the cracks of the reinforced concrete member in each sensor interval; fitting beta by recording the variation of wave velocity after each crack appears and the number of cracks at that timen1And betan2To calculate its effect on the amount of wave velocity variation from the number of cracks.
5. The acoustic emission crack source positioning method for reinforced concrete members based on wave velocity modification according to claim 3, wherein α is determined according to the results of four-point bending test and lead breaking testw-wmaxA scatter diagram, which is fitted according to the scatter distribution rule to obtain the maximum width w of the crackmaxCoefficient of influence alpha on propagation velocity v of sound emissionwExist asThe following relationships:
αw=βw1w2·wmax
in the formula, alphawThe calculation formula is alpha for the influence coefficient of the maximum width change of the crack on the acoustic emission wave speedw=vu/vlWherein v isl、vuThe wave velocity when the component is loaded and unloaded under the same loading stage; beta is aw1And betaw2Is a fitting coefficient; w is amaxThe maximum width of the reinforced concrete member crack in each sensor interval is defined; fitting the relation between the maximum crack width and the wave velocity variation by recording the maximum width and the wave velocity variation of each loading-level crack, and determining betaw1And betaw2So that its effect on the amount of wave velocity variation is calculated by the width of the crack.
6. The acoustic emission crack source positioning method for reinforced concrete members based on wave velocity modification according to claim 3, wherein α is determined according to the results of four-point bending test and lead breaking testh-hmaxA scatter diagram, which is fitted according to the scatter distribution rule to obtain the maximum depth h of the crackmaxCoefficient of influence a on the propagation velocity v of an acoustic emission wavehThe following relationships exist:
αh=βh1h2·hmax
in the formula, alphahThe influence coefficient of the maximum depth change of the crack on the acoustic emission wave speed is calculated by the formula of alphah=vj/viWherein v isi、vjThe acoustic emission wave speeds corresponding to the maximum depths of different cracks are kept basically unchanged when the number and the maximum width of the cracks are kept; beta is ah1And betah2Is a fitting coefficient; h ismaxAnd finally calculating the change of the wave speed according to the maximum crack depth of the reinforced concrete member in each sensor interval.
7. The acoustic emission crack source location method for reinforced concrete members based on modified wave speed as claimed in any one of claims 1 to 6, wherein the width of the crack is greater than 0.2mm and the depth is greater than 20 mm.
8. The acoustic emission crack source location method for reinforced concrete members based on modified wave velocity as claimed in claim 1, wherein the crack position d and the actual crack position d determined based on the modified wave velocity location method0Error therebetween satisfies
Figure FDA0002240660400000031
The positioning method based on the corrected wave speed can be used for positioning and analyzing the acoustic emission crack source of the reinforced concrete member.
CN201910998930.3A 2019-10-21 2019-10-21 Reinforced concrete member acoustic emission crack source positioning method based on corrected wave speed Pending CN110687211A (en)

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CN112229585A (en) * 2020-09-18 2021-01-15 长沙理工大学 Crack damage positioning method and system based on artificial intelligence and acoustic emission technology
CN112229585B (en) * 2020-09-18 2022-07-08 长沙理工大学 Crack damage positioning method and system based on artificial intelligence and acoustic emission technology
CN112432861A (en) * 2020-10-28 2021-03-02 扬州大学 Reinforced concrete beam damage state evaluation method based on acoustic emission waveform analysis
CN113607824A (en) * 2021-08-16 2021-11-05 赵跃 Method for monitoring cracks in concrete beam plate pouring process
CN114636759A (en) * 2022-03-02 2022-06-17 郑州大学 Method for determining maximum depth of concrete structure crack based on acoustic emission
CN115166057A (en) * 2022-08-01 2022-10-11 江苏大学 Method for measuring wave speed change based on acoustic emission
CN115290409A (en) * 2022-08-03 2022-11-04 燕山大学 Method for inducing and quantitatively characterizing cracks of reinforced concrete test piece
CN115406385A (en) * 2022-09-30 2022-11-29 武汉路通市政工程质量检测中心有限公司 Method for monitoring fracture of prestressed reinforcement in cable-stayed bridge cable tower anchoring area
CN115406385B (en) * 2022-09-30 2023-08-11 武汉路通市政工程质量检测中心有限公司 Method for monitoring fracture of prestressed reinforcement in anchoring area of cable-stayed bridge cable tower

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