A concrete beam crack damage acoustic emission positioning correction method

Abstract

The present application belongs to the field of concrete beam crack damage positioning, and discloses a concrete beam crack damage acoustic emission positioning correction method, comprising: arranging an acoustic sensor group on the side of the concrete beam, performing a lead breaking test, and determining first sound wave propagation speed data; when a crack damage occurs, performing primary positioning on the damage sound source to obtain a primary damage sound source position; arranging a plurality of second acoustic sensors on the path from the primary damage sound source position to each first acoustic sensor in the acoustic sensor group, exciting the primary damage sound source position with the lead breaking test to obtain second sound wave data, obtaining average sound speed data between adjacent second acoustic sensors based on the second sound wave data; obtaining a sound speed-distance fitting relationship on the path from the primary damage sound source position to each first acoustic sensor in the acoustic sensor group based on the average sound speed data, performing positioning correction on the damage sound source to obtain a corrected damage sound source position. The technical scheme of the present application improves positioning accuracy.

Description

Technical Field

[0001] This invention belongs to the field of concrete beam crack damage localization, and in particular relates to a method for acoustic emission localization and correction of concrete beam crack damage. Background Technology

[0002] Acoustic emission is a phenomenon associated with elastic waves generated by the instantaneous release of energy during material deformation, crack initiation, and propagation. By detecting the acoustic emission signals released by structural damage, the location and extent of damage can be determined. In the field of civil engineering, there have been studies on using acoustic emission to determine the location of cracks in concrete structures. However, most studies have not considered the influence of crack development on the propagation velocity of acoustic waves, using initial wave velocities for calculations without location correction, resulting in insufficient positioning accuracy and inability to accurately determine the damage location. Summary of the Invention

[0003] The purpose of this invention is to provide a method for locating and correcting acoustic emission of crack damage in concrete beams, so as to solve the problems existing in the prior art.

[0004] To achieve the above objectives, the present invention provides a method for acoustic emission localization and correction of crack damage in concrete beams, comprising:

[0005] An acoustic sensor group is installed on the side of the concrete beam. The acoustic sensor group consists of several first acoustic sensors arranged along a triangular structure.

[0006] A lead-breaking test was performed on the surface of the intact concrete beam to obtain the first acoustic wave data. The propagation speed of the first acoustic wave was determined based on the time it took for the first acoustic wave data to reach the acoustic sensor group.

[0007] When cracks appear in a concrete beam, the source of the damage is initially located to obtain the preliminary judgment of the location of the damage source.

[0008] Several second acoustic sensors are arranged along the path from the initially determined location of the sound source to each first acoustic sensor in the acoustic sensor group. The initial location of the sound source is subjected to lead-breaking excitation to obtain second acoustic wave data. The average sound velocity data between adjacent second acoustic sensors is obtained based on the second acoustic wave data.

[0009] Based on the average sound velocity data, obtain the sound velocity-distance fitting relationship on the path from the initially determined location of the damage sound source to each first sound sensor in the sound sensor group;

[0010] Based on the sound speed-distance fitting formula, the location of the damaged sound source is corrected to obtain the corrected location of the damaged sound source.

[0011] Optionally, the acoustic sensor group includes three of the first acoustic sensors, with each first acoustic sensor positioned at a vertex of the triangular structure.

[0012] Optionally, the propagation speed data of the first sound wave is determined based on the time it takes for the first sound wave data to arrive at the sound sensor group, specifically including:

[0013] Obtain the time difference between any two first acoustic sensors in the acoustic sensor group receiving the first acoustic wave data, and calculate the first acoustic wave propagation speed data of the first acoustic wave data propagating under the intact beam based on the time difference.

[0014] Optionally, when cracks appear in the concrete beam, the source of the sound damage is initially located to obtain a preliminary assessment of the sound source location, specifically including:

[0015] When cracks appear in the concrete beam, the sound wave reception time data of the sound sensor group is acquired. Based on the sound wave reception time data and the first sound wave propagation speed data, the two-dimensional time difference positioning method is used to initially locate the sound source of the damage, and the preliminary location of the sound source of the damage is obtained.

[0016] Optionally, based on the average sound velocity data, the sound velocity-distance fitting relationship along the path from the initially determined location of the damaged sound source to each first sound sensor in the sound sensor group is obtained, specifically including:

[0017] Based on the average sound velocity data, attenuation rate data and sound velocity at the midpoint between adjacent second sound sensors are obtained.

[0018] Based on the attenuation rate data, the fitting relationship function type is selected, and the sound speed-distance fitting relationship on the path from the initially determined damage sound source location to each first sound sensor in the sound sensor group is fitted based on the sound speed at the midpoint position.

[0019] Optionally, the formula for calculating the sound velocity at the midpoint includes:

[0020]

[0021] In the formula, To initially determine the location to S i The sound velocity t at the midpoint between the j-th second sensor and the next adjacent second sensor on the path. ij To initially determine the position to sensor S i The sound wave propagation time of the j-th sensor on the path.

[0022] Optionally, the formula for calculating the attenuation rate data includes:

[0023]

[0024] In the formula, rv The attenuation rate, To initially determine the location to S i The sound velocity at the midpoint between the j-th second sensor and the next adjacent second sensor on the path. To initially determine the location to S i The sound velocity at the midpoint between the (j+1)th second sensor on the path and the next adjacent second sensor, where Δd is the distance between the adjacent midpoints.

[0025] Optionally, the sound speed-distance fitting equation is characterized by an exponential function:

[0026]

[0027] In the formula, v i (x) is the sound speed-distance fitting equation, a i b i is the fitting coefficient; x is the distance from the initially determined location of the sound source of damage.

[0028] Optionally, the location of the damaged sound source is corrected based on the sound speed-distance fitting formula to obtain the corrected location of the damaged sound source, specifically including:

[0029] Integrating the sound speed-distance fitting equation yields the acoustic emission wave propagation time-propagation distance equation, and the calculation formula for the acoustic emission wave propagation time-propagation distance equation is as follows:

[0030]

[0031]

[0032]

[0033] In the formula, t is the sound wave propagation time, D is the distance from the initially determined damage source location to the target location; the time t is the time it takes for the sound wave generated at the damage source to propagate to each of the first acoustic sensors. i With distance D mi The relationship is:

[0034]

[0035] The location of the damaged sound source is corrected to obtain the corrected location of the damaged sound source:

[0036]

[0037] In the formula, v i (x) represents the sound speed-distance fitting equation, i = 1, 2, 3, (x) i ,y iLet t1, t2, and t3 be the coordinates of the first sensor, t1, t2, and t3 be the times it takes for the sound wave generated at the damage source to travel to the first sensor, and Δt1 and Δt2 be the time difference between when the sound sensor receives the sound signal and when it arrives. mi Let P be the distance the sound wave generated at the damaged sound source propagates to the first sensor, and let P be the coordinates of the corrected location of the damaged sound source obtained by solving the system of equations. m (x m ,y m ).

[0038] The technical effects of this invention are as follows:

[0039] This invention provides a method for correcting acoustic emission location of crack damage in concrete beams, comprising: arranging an acoustic sensor group on the side of the concrete beam, the acoustic sensor group consisting of several first acoustic sensors arranged along a triangular structure; performing a lead-breaking test on the intact surface of the concrete beam to obtain first acoustic wave data, and determining the first acoustic wave propagation velocity data based on the time it takes for the first acoustic wave data to reach the acoustic sensor group; when crack damage occurs in the concrete beam, performing initial location of the damage sound source to obtain a preliminary judgment of the damage sound source location; arranging several second acoustic sensors on the path from the preliminary judgment of the damage sound source location to each of the first acoustic sensors in the acoustic sensor group, performing lead-breaking excitation on the preliminary judgment of the damage sound source location to obtain second acoustic wave data, and obtaining average sound velocity data between adjacent second acoustic sensors based on the second acoustic wave data; obtaining a sound velocity-distance fitting relationship on the path from the preliminary judgment of the damage sound source location to each of the first acoustic sensors in the acoustic sensor group based on the average sound velocity data; and correcting the location of the damage sound source based on the sound velocity-distance fitting relationship to obtain the corrected damage sound source location.

[0040] This invention involves placing three acoustic sensors in a triangular configuration on one side of a reinforced concrete beam, conducting a lead-breaking test to obtain the initial sound wave transmission speed, and making an initial judgment when crack damage occurs to obtain the initial judgment location. Based on this, several more acoustic sensors are set up, and the initial judgment location is corrected by combining sound attenuation to obtain the corrected sound source location, thus improving the positioning accuracy. Attached Figure Description

[0041] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0042] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. In the drawings:

[0043] Figure 1 This is a structural diagram of the acoustic sensor group in an embodiment of the present invention;

[0044] Figure 2 This is a structural diagram of the acoustic sensor group after the second acoustic sensor is deployed in an embodiment of the present invention;

[0045] Figure 3 This is a flowchart of the acoustic emission positioning correction process in an embodiment of the present invention;

[0046] Figure 4 This is a coordinate diagram of the three acoustic sensors in an embodiment of the present invention;

[0047] Figure 5 This is a schematic diagram showing the coordinates of the simulated broken lead location in an embodiment of the present invention.

[0048] Figure 6 This is a schematic diagram of the coordinates of the initial position determined in an embodiment of the present invention;

[0049] Figure 7 This is a schematic diagram of the coordinates of the corrected position in an embodiment of the present invention. Detailed Implementation

[0050] Various exemplary embodiments of the present invention will now be described in detail. This detailed description should not be considered as a limitation of the present invention, but rather as a more detailed description of certain aspects, features, and embodiments of the present invention.

[0051] It should be understood that the terminology used in this invention is merely for describing particular embodiments and is not intended to limit the invention. Furthermore, with respect to numerical ranges in this invention, it should be understood that each intermediate value between the upper and lower limits of the range is also specifically disclosed. Every smaller range between any stated value or intermediate value within a stated range, and any other stated value or intermediate value within said range, is also included in this invention. The upper and lower limits of these smaller ranges may be independently included or excluded from the range.

[0052] Unless otherwise stated, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art. While only preferred methods have been described herein, any methods similar or equivalent to those described herein may be used in the implementation or testing of this invention. All references to this specification are incorporated by way of citation to disclose and describe the methods associated with those references. In the event of any conflict with any incorporated reference, the content of this specification shall prevail.

[0053] Various modifications and variations can be made to the specific embodiments described in this specification without departing from the scope or spirit of the invention, as will be apparent to those skilled in the art. Other embodiments derived from this specification will also be obvious to those skilled in the art. This application specification and embodiments are merely exemplary.

[0054] The terms “include,” “including,” “have,” “contain,” etc., used in this article are all open-ended terms, meaning that they include but are not limited to.

[0055] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.

[0056] Example 1

[0057] like Figure 1 - Figure 7 As shown, this embodiment provides a method for correcting acoustic emission location of crack damage in concrete beams, including: deploying an acoustic sensor group on the side of the concrete beam, the acoustic sensor group consisting of several first acoustic sensors arranged along a triangular structure; performing a lead-breaking test on the intact surface of the concrete beam to obtain first acoustic wave data, and determining the first acoustic wave propagation velocity data based on the time it takes for the first acoustic wave data to reach the acoustic sensor group; when crack damage occurs in the concrete beam, performing initial location of the damage sound source to obtain a preliminary judgment of the damage sound source location; deploying several second acoustic sensors on the path from the preliminary judgment of the damage sound source location to each of the first acoustic sensors in the acoustic sensor group, performing lead-breaking excitation on the preliminary judgment of the damage sound source location to obtain second acoustic wave data, and obtaining average sound velocity data between adjacent second acoustic sensors based on the second acoustic wave data; obtaining a sound velocity-distance fitting relationship on the path from the preliminary judgment of the damage sound source location to each of the first acoustic sensors in the acoustic sensor group based on the average sound velocity data; and correcting the location of the damage sound source based on the sound velocity-distance fitting relationship to obtain the corrected damage sound source location.

[0058] In this embodiment, three acoustic sensors are arranged in a triangular position on one side of a reinforced concrete beam. A lead-breaking test is then conducted to obtain the initial sound wave transmission speed. When crack damage occurs, an initial judgment is made to obtain the initial judgment location. Based on this, several more acoustic sensors are set up, and the initial judgment location is corrected by combining the sound velocity attenuation to obtain the corrected sound source location, thus improving the positioning accuracy.

[0059] The implementation process of this embodiment includes: Three acoustic sensors, designated S1, S2, and S3, are arranged in a triangular configuration on one side of a reinforced concrete beam. A lead break is performed on the intact beam surface, and the speed of sound propagation under the intact beam is calculated by collecting the time difference between the arrival times of the sound waves at sensors S1 and S3. When cracks appear in the reinforced concrete beam, the location of the sound source generating the acoustic emission wave is roughly determined. Specifically, the time of arrival of the acoustic emission wave at the acoustic sensors is collected, and a two-dimensional time-difference positioning method is used to roughly locate the sound source. Several acoustic sensors are installed at equal intervals Δd along the path from the initial determined location to the sensor. Excitation is applied at the initial determined sound source location, and the average sound velocity between each pair of sensors is calculated. The speed of sound propagation from the initial determined location to sensor S1 is then calculated. i The average sound velocity between the two sensors along the path represents the sound velocity at the midpoint between the two sensors; based on the initial position judgment to sensor S i The maximum wave velocity attenuation rate along the path is selected to fit the function type of the relationship, and the damage is initially determined from the sensor S. i Path d mij and By performing fitting, the sound speed-distance fitting relationship at distance x on each path is obtained; from the definition of velocity and the relationship between sound emission wave speed and propagation distance, the relationship between sound emission wave propagation time and propagation distance is obtained; the initial position is used to determine the relationship between the sound emission wave propagation time and propagation distance from the sensor S. i The propagation time-distance relationship of the acoustic emission wave along the path replaces the actual sound source coordinates with those of the sensor S. i The propagation time-distance relationship of acoustic emission waves along the path; using the propagation of acoustic emission waves to sensor S i Time t i and the distance D mi The acoustic emission positioning was re-established based on the relationship.

[0060] The specific implementation process of this embodiment includes:

[0061] Step 1: Three acoustic sensors, designated S1, S2, and S3, are positioned in a triangular pattern on one side of a reinforced concrete beam. A lead break is performed on the intact beam surface. The speed of sound propagation under the intact beam is calculated by measuring the time difference between the arrival times of the sound waves at sensors S1 and S3. The formula is:

[0062]

[0063] Where d i For the initial sound velocity measurement, from the broken lead point to the sound sensor S i The distances are d1 = 0 and d2 = 0.2 m; T 0i For acoustic sensor S i When the sound wave is received, its value is T. 01 =74.420192s, T 03=74.420241s. Calculated, v0 = 2436m / s.

[0064] Step 2: Load the reinforced concrete beam until it reaches a state of cumulative damage. Perform a lead break at the center point P(650,100) on the side surface of the reinforced concrete beam to simulate the sound signal emitted when the beam is damaged. First, roughly locate the sound source. The specific method is as follows: collect the time when the emitted sound wave arrives at the sound sensor, and use the two-dimensional time difference positioning method to roughly locate the sound source. The calculation formula is:

[0065]

[0066] Where i = 1, 2, 3, (x i ,y i ) is sensor S i The coordinates are S1(1300,0), S2(0,200), and S3(1300,200). T1, T2, and T3 are the coordinates of the corresponding sensor S. i The arrival times of the detected acoustic emission signals are T1 = 0.004806s, T2 = 0.004912s, and T3 = 0.004855s, respectively. Solving the system of equations yields the initial location coordinates P of the suspected sound source, which contain errors. f (x f ,y f ), its value is P f (705.2, 41.0);

[0067] Step 3: Install several acoustic sensors at equal intervals Δd = 80mm along the path from the initial determined position to the sensor. Excite the sensor at the initial determined sound source location and calculate the average sound velocity between each pair of sensors. (Excitation point to sensor S) i The formula for calculating the average sound speed between the j-th sensor and the (j+1)-th sensor on the path is:

[0068]

[0069] Among them, t ij To initially determine the position to sensor S i The arrival time of the j-th sensor on the path.

[0070] The calculation results are as follows:

[0071]

[0072] In the formula, the first line represents the average sound speed between the j-th sensor and the (j+1)-th sensor on the path from the excitation point to sensor S1; the second line represents the average sound speed between the j-th sensor and the (j+1)-th sensor on the path from the excitation point to sensor S2; and the third line represents the average sound speed between the j-th sensor and the (j+1)-th sensor on the path from the excitation point to sensor S3.

[0073] Step 4: Use the initial position determination to locate the sensor S i The average sound velocity between two sensors along the path represents the sound velocity at the midpoint between the two sensors, i.e., using Characteristic d mij The speed of sound at that point, where d ij To initially determine the location to S i The distance to the j-th sensor on the path, i.e.

[0074]

[0075] In the formula, the first line is the distance from the initially determined position to the j-th sensor on the S1 path; the second line is the distance from the initially determined position to the j-th sensor on the S2 path; and the third line is the distance from the initially determined position to the j-th sensor on the S3 path.

[0076] Step 5: Determine the initial location of the damage to sensor S i Path d mij and By performing a fitting, the sound speed-distance fitting relationship at distance x along each path is obtained:

[0077]

[0078] Where a i b i The fitting coefficients are denoted as .

[0079] The fitting results of the path sound speed-distance relationship for S1, S2, and S3 are as follows:

[0080] v1(x) = 5062e -0.003749x

[0081] v2(x) = 4744e -0.002823x

[0082] v3(x) = 4848e -0.002791x

[0083] Step 6: Based on the definition of velocity and the relationship between acoustic emission wave speed and propagation distance, v = v i (x), we can obtain:

[0084]

[0085] Right now

[0086]

[0087] Integrating both sides simultaneously yields the relationship between the propagation time and propagation distance of the acoustic emission wave.

[0088]

[0089] Use the initial position determination to the sensor S i The propagation time-distance relationship of the acoustic emission wave along the path replaces the actual sound source coordinates with those of the sensor S. i The propagation time-distance relationship of acoustic emission waves along the path indicates that the acoustic emission waves generated by crack damage propagate to sensor S. i Time t i and the distance D mi The relationship can be characterized as:

[0090]

[0091] Step 7: Use acoustic emission waves to propagate to sensor S i Time t i and the distance D mi The acoustic emission localization is re-established based on the relationship, and the calculation formula is:

[0092]

[0093] Where i = 1, 2, 3, (x i ,y i ) is sensor S i The coordinates Δt1 and Δt2 represent the time difference between the arrival and arrival of the sound signal received by the sound sensor. The arrival time difference is numerically consistent with the time difference used for sound wave transmission, and its value is Δt1 = T2 - T1 = 0.000106s, Δt2 = T3 - T1 = 0.000049s.

[0094] Solving this system of equations yields the corrected sound source location coordinates P. m (x m ,y m ), its value is P m (672.5, 60.5).

[0095] Error between the initial location and the actual location of the injury:

[0096]

[0097] Correction of the distance error between the corrected location and the actual fracture location:

[0098]

[0099] In this embodiment, three acoustic sensors are arranged in a triangular position on one side of a reinforced concrete beam. A lead-breaking test is then conducted to obtain the initial sound wave transmission speed. When crack damage occurs, an initial judgment is made to obtain the initial judgment position. Based on this, several more acoustic sensors are set up, and the initial judgment position is corrected by combining sound attenuation to obtain the corrected sound source position, thus improving the positioning accuracy.

[0100] The above description is merely a preferred embodiment of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.

Claims

1. A method for acoustic emission localization and correction of crack damage in concrete beams, characterized in that, include: An acoustic sensor group is installed on the side of the concrete beam. The acoustic sensor group consists of several first acoustic sensors arranged along a triangular structure. A lead-breaking test was performed on the surface of the intact concrete beam to obtain the first acoustic wave data. The propagation speed of the first acoustic wave was determined based on the time it took for the first acoustic wave data to reach the acoustic sensor group. When cracks appear in a concrete beam, the source of the damage is initially located to obtain the preliminary judgment of the location of the damage source. Several second acoustic sensors are arranged along the path from the initially determined location of the sound source to each first acoustic sensor in the acoustic sensor group. The initial location of the sound source is subjected to lead-breaking excitation to obtain second acoustic wave data. The average sound velocity data between adjacent second acoustic sensors is obtained based on the second acoustic wave data. Based on the average sound velocity data, the sound velocity-distance fitting formulas are obtained along the paths from the initially determined location of the damaged sound source to each first sound sensor in the sound sensor group, including: Based on the average sound velocity data, attenuation rate data and sound velocity at the midpoint between adjacent second sound sensors are obtained. Based on the attenuation rate data, the fitting relationship function type is selected, and the sound speed-distance fitting relationship on the path from the initially determined damage sound source location to each first sound sensor in the sound sensor group is fitted based on the sound speed at the midpoint position; the location of the damage sound source is corrected based on the sound speed-distance fitting relationship to obtain the corrected damage sound source location. Among them, the propagation time-propagation distance relationship of acoustic emission wave is obtained from the definition of velocity and the relationship between acoustic emission wave speed and propagation distance; the initial position is used to determine the sensor. The propagation time-distance relationship of acoustic emission waves along the path replaces the actual sound source coordinates with the sensor. The propagation time-distance relationship of acoustic emission waves along the path; using acoustic emission waves propagating to the sensor Time used and the distance traveled The acoustic emission positioning was re-established based on the relationship.

2. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, The acoustic sensor group includes three of the first acoustic sensors, each of which is positioned at a vertex of the triangular structure.

3. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, The first sound wave propagation speed data is determined based on the time it takes for the first sound wave data to arrive at the sound sensor group, specifically including: Obtain the time difference between any two first acoustic sensors in the acoustic sensor group receiving the first acoustic wave data, and calculate the first acoustic wave propagation speed data of the first acoustic wave data propagating under the intact beam based on the time difference.

4. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, When cracks appear in a concrete beam, the initial location of the sound source is determined to obtain a preliminary assessment of the sound source location, including: When cracks appear in the concrete beam, the sound wave reception time data of the sound sensor group is acquired. Based on the sound wave reception time data and the first sound wave propagation speed data, the two-dimensional time difference positioning method is used to initially locate the sound source of the damage, and the preliminary location of the sound source of the damage is obtained.

5. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, The formula for calculating the sound velocity at the midpoint includes: In the formula, To determine the initial location The first on the path The sound velocity at the midpoint between the second sensor and the next adjacent second sensor To initially determine the position to the sensor The first on the path The sound wave propagation time of each sensor, This represents the distance between adjacent midpoints.

6. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, The formula for calculating the attenuation rate data includes: In the formula, The attenuation rate, To determine the initial location The first on the path The sound velocity at the midpoint between the second sensor and the next adjacent second sensor To determine the initial location The first on the path The sound velocity at the midpoint between the +1 second sensor and the next adjacent second sensor. This represents the distance between adjacent midpoints.

7. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, The sound speed-distance fitting formula is characterized by an exponential function: In the formula, This is the sound speed-distance fitting equation. This refers to the distance from the initially determined location of the sound source of the damage.

8. The method for acoustic emission localization and correction of crack damage in concrete beams according to claim 1, characterized in that, Based on the aforementioned sound speed-distance fitting formula, the location of the damaged sound source is corrected to obtain the corrected location of the damaged sound source, specifically including: Integrating the sound speed-distance fitting equation yields the acoustic emission wave propagation time-propagation distance equation, and the calculation formula for the acoustic emission wave propagation time-propagation distance equation is as follows: In the formula, t is the sound wave propagation time, D is the distance from the initially determined damage source location to the target location, and the time it takes for the sound wave generated at the damage source to propagate to each of the first acoustic sensors. With distance The relationship is: The location of the damaged sound source is corrected to obtain the corrected location of the damaged sound source: In the formula, , Let t1, t2, and t3 be the coordinates of the first sensor, and t1, t2, and t3 be the times it takes for the sound wave generated at the damage source to travel to the first sensor. , The time difference between when the sound sensor receives the sound signal and when it arrives. Let be the distance the sound wave generated at the damaged sound source propagates to the first sensor, and let be the coordinates of the corrected location of the damaged sound source obtained by solving the system of equations. .

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