CN114061805A - Air coupling Lamb wave nonlinear ultrasonic stress detection method, system and device for fiber reinforced composite material - Google Patents
Air coupling Lamb wave nonlinear ultrasonic stress detection method, system and device for fiber reinforced composite material Download PDFInfo
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Abstract
An air coupling Lamb wave nonlinear ultrasonic stress detection method, system and device for a fiber reinforced composite material belong to the field of ultrasonic stress detection. The traditional nonlinear ultrasonic stress detection has systematic errors and the special fiber material stress detection causes the damage of the material structure and performance. The invention relates to an air coupling Lamb wave nonlinear ultrasonic stress detection method, which comprises the following steps: obtaining a pure Lamb wave mode according to the processing of the fiber reinforced composite material to be detected, wherein the pure Lamb wave comprises a symmetrical mode S0And antisymmetric mode A0(ii) a Determination of antisymmetric mode A from dispersion curve0Group velocity according to antisymmetry A0Carrying out space coupling ultrasonic detection in a mode; and (3) carrying out air coupling ultrasonic detection on the fiber reinforced composite material to be detected to obtain the relative nonlinear coefficient of the fiber reinforced composite material sample to be detected, namely obtaining the fiber reinforced composite material sample to be detected to realize stress characterization. The invention eliminates the influence of the coupling agent and enhances the detection sensitivity of the stress of the fiber reinforced composite materialActivity, and high detection efficiency.
Description
Technical Field
The invention belongs to the field of ultrasonic stress detection, and particularly relates to an air coupling Lamb wave nonlinear ultrasonic stress detection method for a fiber reinforced composite material.
Background
The fiber reinforced composite material inherits partial advantages of the carbon fiber material and the matrix material, and has the characteristics of low density, high strength, high modulus, wear resistance, high temperature resistance, strong diamagnetism, strong corrosion resistance, fatigue resistance and the like. In recent 20 years, fiber-reinforced composite materials have been rapidly developed, and after playing an important role in high and new technical fields such as aerospace and the like, fiber-reinforced composite materials have gradually started to stand out in the fields of automobile processing, ship manufacturing, medical chemical industry and the like. In fiber reinforced composite laminates, the resin material between the layers is the primary medium for stress transmission. Due to the special manufacturing process and the anisotropic structural characteristics of the composite material laminated plate, the stress concentration phenomenon is easily formed in the processing and using processes of the composite material laminated plate. Researches show that the performance of the composite material structure can be rapidly reduced along with the expansion and accumulation of stress concentration, so that the researches on a nondestructive testing method capable of effectively detecting the structural stress of the fiber reinforced composite material have important significance for timely finding the stress concentration of a test piece and taking corresponding measures, prolonging the service life of the test piece and reducing the social and economic losses.
The ultrasonic detection is one of five conventional nondestructive detections, and has the advantages of high sensitivity, strong penetrating power, good directivity, high detection speed, low cost, relatively simple equipment, no harm to human bodies and the like. Ultrasonic testing is classified into contact and non-contact. In the contact ultrasonic detection technology, liquid is used as an acoustic coupling agent between an ultrasonic transducer and a sample to be detected so as to reduce the loss of ultrasonic wave in the air. The use of the coupling agent increases the influence of human factors on results, and the requirements of industrial automatic production and quality control are difficult to meet, so that the application range of ultrasonic detection is limited.
At present, an ultrasonic stress detection method based on the acoustic elasticity theory is widely applied, but the change of sound velocity caused by the change of stress is small, so that the detection sensitivity is low, and the accuracy of stress detection cannot be ensured. When the stress exists in the solid material, the third-order elastic constant is more sensitive to the stress of the material, and a quantitative relation exists between the nonlinear coefficient in the constitutive relation of the solid material and the third-order elastic constant of the structure, so that the nonlinear ultrasonic detection characteristic parameter has higher sensitivity to stress characterization than the linear ultrasonic characteristic parameter (such as sound velocity, sound attenuation and the like).
However, most of excitation and reception of nonlinear ultrasonic stress detection adopt a contact ultrasonic transducer matched with a wedge block at a specific angle, a nonlinear coefficient is obtained by analyzing an echo, and the stress detection is realized by the relation between the nonlinear coefficient and the stress. The traditional contact type ultrasonic probe is matched with a couplant for use, the thickness of the couplant and the contact condition can introduce system nonlinearity, system errors are brought to the stress detection of nonlinear ultrasound, and for special fiber reinforced composite materials, water or other couplants can pollute the materials when the contact type ultrasonic probe is used for detecting the materials and permeate into damaged parts of the materials to damage the structures and the performances of the materials.
Disclosure of Invention
The invention solves the problems that the traditional nonlinear ultrasonic stress detection has system errors and the structure and the performance of the material are damaged due to the special fiber material stress detection.
An air coupling Lamb wave nonlinear ultrasonic stress detection method for a fiber reinforced composite material comprises the following steps:
obtaining a pure Lamb wave mode according to the processing of the fiber reinforced composite material to be detected, wherein the pure Lamb wave comprises a symmetrical mode S0And antisymmetric mode A0；
Determination of antisymmetric mode A from dispersion curve0Group velocity according to antisymmetry A0Carrying out space coupling ultrasonic detection in a mode;
and (3) carrying out air coupling ultrasonic detection on the fiber reinforced composite material to be detected to obtain the relative nonlinear coefficient of the fiber reinforced composite material sample to be detected, namely obtaining the fiber reinforced composite material sample to be detected to realize stress characterization.
Further, the obtaining of the pure Lamb wave mode according to the processing of the fiber reinforced composite material to be detected includes:
and drawing a Lamb wave frequency dispersion curve by using the parameters of the fiber reinforced composite material to be detected, and determining the central frequency f of the air-coupled transducer by combining the thickness of the fiber reinforced composite material to be detected.
Further, the determination of the antisymmetric mode A according to the dispersion curve0Group velocity according to the anti-symmetric mode A0Carrying out air coupling ultrasonic detection, wherein the detection system comprises the following processes:
determining A from the dispersion curve0Determining the inclination angle of the excitation and reception air-coupled transducer by using the modal group velocity and Snell law and the air sound velocity;
placing an air coupling transducer at any side of the sample in the stress concentration area according to the inclination angle, and determining the distance from the air coupling transducer to the sample according to the actual detection environment;
determining an excitation signal period N, adopting a nonlinear ultrasonic testing system to generate an excitation signal according to the determined center frequency f of the space coupling transducer, carrying out impedance matching on the excitation signal through a 50-ohm load, applying the excitation signal subjected to impedance matching on the excitation space coupling transducer through a low-pass filter, and receiving the echo of the excitation signal by using a receiving space coupling transducer at a receiving position;
and carrying out Fourier change and frequency domain analysis according to the echo of the received excitation signal to extract a fundamental frequency amplitude and a second harmonic amplitude so as to obtain a relative nonlinear coefficient.
Further, the air-coupled ultrasonic detection of the fiber reinforced composite material to be detected to obtain the relative nonlinear coefficient of the sample of the fiber reinforced composite material to be detected includes:
obtaining a one-dimensional nonlinear wave equation of the isotropic elastic material:
wherein u (x, t) is the particle displacement, x is the propagation distance of the ultrasonic wave, t is the propagation time of the ultrasonic wave, c is the wave velocity of the ultrasonic wave, and β is the ultrasonic nonlinear coefficient;
by utilizing the perturbation theory, the one-dimensional nonlinear wave equation solution is obtained as follows:
u(x,t)＝u0(x,t)+βu1(x,t)，
wherein u is0(x, t) represents a linear displacement, u1(x, t) represents displacement due to material nonlinearity;
the nonlinear displacement is proportional to the wave propagation distance:
u1(x,t)＝xf(t-x/c)，
wherein f (t-x/c) is an unknown function to be determined;
obtaining an unknown function to be determined by a perturbation approximation method:
wherein the content of the first and second substances,
is the ultrasonic wave number, and omega is the angular frequency of the ultrasonic wave;
the wave equation is solved as:
determining a relative nonlinear coefficient according to the amplitude A (2 omega) of the second harmonic and the amplitude A (omega) of the fundamental wave:
further, the fiber reinforced composite material to be detected is a cuboid with the length of 280mm, the width of 38mm and the thickness of 8 mm; the center frequency f of the air-coupled transducer is 200 kHz.
The invention provides an air coupling Lamb wave nonlinear ultrasonic stress detection system for a fiber reinforced composite material, which is characterized by comprising the following components in percentage by weight:
the processing unit is used for processing the fiber reinforced composite material to be detected;
an obtaining unit for obtaining a pure Lamb wave mode;
for determining antisymmetric modesState A0A group velocity determination unit;
the detection unit is used for the air coupling ultrasonic detection;
and the obtaining unit is used for obtaining the relative nonlinear coefficient of the fiber reinforced composite material sample to be measured.
The invention provides an air coupling Lamb wave nonlinear ultrasonic stress detection device for a fiber reinforced composite material, which comprises:
one or more processors;
a memory; and
one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the programs comprising instructions for performing a method for air-coupled Lamb wave nonlinear ultrasonic stress detection for fiber-reinforced composite materials as described in any of the above steps.
The invention provides a computer readable storage medium for storing a computer program, wherein the computer program executes any one of the steps of the air coupling Lamb wave nonlinear ultrasonic stress detection method for the fiber reinforced composite material.
The invention provides computer equipment comprising a memory and a processor, wherein the memory stores a computer program, and when the processor runs the computer program stored by the memory, the processor executes the air coupling Lamb wave nonlinear ultrasonic stress detection method for the fiber reinforced composite material according to any one of the steps.
The invention has the beneficial effects that:
the invention solves the problems that the traditional nonlinear ultrasonic stress detection has system errors and the structure and the performance of the material are damaged due to the special fiber material stress detection.
According to the invention, the stress detection is carried out by adopting non-contact ultrasonic according to the material characteristics of the fiber reinforced composite material, so that the stability of the structure and the performance of the fiber material is ensured, the couplant which is necessary to be used in the prior art is omitted, the non-contact nondestructive detection is realized by directly taking air as the couplant, the couplant is not required, the detection process is simple and convenient, and the influence of artificial coupling factors can be avoided in the detection result.
The Lamb wave adopted by the invention is an ultrasonic guided wave which is propagated in a plate-shaped structure, and has the characteristics of long propagation range, small energy attenuation and sensitivity to a nonlinear region in a plate. The Lamb wave-based nondestructive testing technology judges the stress condition in the plate by analyzing the characteristic change of the Lamb wave receiving signal in a time domain or a frequency domain, and has the advantages of large testing area and high testing speed. Air coupling Lamb wave ultrasonic detection is an ultrasonic detection technology utilizing leaky Lamb waves. Compared with contact Lamb wave detection, the air coupling Lamb wave detection does not need to apply a coupling agent on the surface of the sample, so that non-contact nondestructive detection of the sample to be detected is realized, and the detection efficiency is higher.
The invention uses air coupling ultrasonic Lamb waves to realize the nonlinear ultrasonic stress detection of the fiber reinforced composite material which does not use a coupling agent for contact detection, simultaneously eliminates the influence of the coupling agent, enhances the detection flexibility, improves the detection efficiency, better realizes the qualitative and quantitative characterization of the stress, and has the stress detection accuracy of more than 99 percent.
The invention adopts air coupling Lamb wave ultrasonic detection, and takes air as a transmission medium to replace a coupling agent in the traditional ultrasonic nondestructive detection in the detection process, thereby fundamentally avoiding the problem of secondary pollution caused by a coupling material to a piece to be detected, having the advantages of no contact, no invasion and no damage in the detection process, greatly prolonging the service life of the air coupling ultrasonic transducer, realizing the online rapid detection of the air coupling Lamb wave detection, and being suitable for the ultrasonic stress detection of the fiber reinforced composite material which can not use the coupling agent for contact detection. The stress detection is realized by adopting the nonlinear ultrasonic technology, and compared with a measuring method for realizing stress representation by combining the acoustic elasticity theory with sound velocity change, the stress detection method is more sensitive to the stress change relative to the nonlinear coefficient, so that the nonlinear ultrasonic technology has higher sensitivity to the stress representation.
Drawings
FIG. 1 is a plot of Lamb scattering;
FIG. 2 is a schematic diagram of a nonlinear ultrasonic stress detection system based on air-coupled Lamb waves;
FIG. 3 is a graph of the results of a least squares fit of stress measurements to relative non-linear coefficients.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments.
The first embodiment is an air-coupled Lamb wave nonlinear ultrasonic stress detection method for a fiber reinforced composite material, and the method comprises the following steps:
obtaining a pure Lamb wave mode according to the processing of the fiber reinforced composite material to be detected, wherein the pure Lamb wave comprises a symmetrical mode S0And antisymmetric mode A0；
Determination of antisymmetric mode A from dispersion curve0Group velocity according to antisymmetry A0Carrying out space coupling ultrasonic detection in a mode;
and (3) carrying out air coupling ultrasonic detection on the fiber reinforced composite material to be detected to obtain the relative nonlinear coefficient of the fiber reinforced composite material sample to be detected, namely obtaining the fiber reinforced composite material sample to be detected to realize stress characterization.
In this embodiment, when the in-plane displacement of the symmetric mode is large and the out-of-plane displacement of the anti-symmetric mode is large, the anti-symmetric mode A is analyzed0The characteristic change in the frequency domain realizes stress detection. By adopting the air coupling non-contact stress detection method, the accuracy of stress detection is ensured to the greatest extent on the basis of not damaging the structure and the performance of the fiber reinforced composite material.
Second embodiment this embodiment will be described with reference to fig. 1. The present embodiment is further defined in the first embodiment of the method for detecting nonlinear ultrasonic stress of air-coupled Lamb waves for fiber-reinforced composite materials, where the obtaining of pure Lamb wave modes according to the processing of the fiber-reinforced composite material to be detected includes:
and drawing a Lamb wave frequency dispersion curve by using the parameters of the fiber reinforced composite material to be detected, and determining the central frequency f of the air-coupled transducer by combining the thickness of the fiber reinforced composite material to be detected.
Lamb waves have symmetrical and antisymmetric modes and frequency dispersion characteristics, and can excite multiple-order symmetric modes (S) under the same excitation frequency0，S1，…，Si) With anti-symmetric mode (A)0，A1，…，Ai). In this embodiment, in order to excite the space-coupled transducer to a relatively pure mode in the to-be-detected member, it can be known that the excitation frequency of the transmitting space-coupled transducer should be less than f shown in fig. 1 according to the dispersion curve of Lamb wave and the thickness of the to-be-detected member0。
Third embodiment this embodiment is described with reference to fig. 2. This embodiment is further defined by the method for detecting air-coupled Lamb wave nonlinear ultrasonic stress in a fiber-reinforced composite material according to the first embodiment, wherein the antisymmetric mode A is determined according to a dispersion curve0Group velocity according to the anti-symmetric mode A0The air coupling ultrasonic detection is carried out, and the detection flow system comprises:
determining A from the dispersion curve0Determining the inclination angle of the excitation and reception air-coupled transducer by using the modal group velocity and Snell law and the air sound velocity;
placing an air coupling transducer at any side of the sample in the stress concentration area according to the inclination angle, and determining the distance from the air coupling transducer to the sample according to the actual detection environment;
determining an excitation signal period N, adopting a nonlinear ultrasonic testing system to generate an excitation signal according to the determined center frequency f of the space coupling transducer, carrying out impedance matching on the excitation signal through a 50-ohm load, applying the excitation signal subjected to impedance matching on the excitation space coupling transducer through a low-pass filter, and receiving the echo of the excitation signal by using a receiving space coupling transducer at a receiving position;
and carrying out Fourier change and frequency domain analysis according to the echo of the received excitation signal to extract a fundamental frequency amplitude and a second harmonic amplitude so as to obtain a relative nonlinear coefficient.
In the specific implementation process, the distance between the air-coupled transducer and the sample is determined according to the actual detection environment, and under the condition that the placement condition is met, the closer the air-coupled transducer is to the sample, the stronger the energy of the sound beam entering the sample is, so that the acquisition and analysis of signals are facilitated.
In a fourth embodiment, the present invention is further limited to the method for detecting air-coupled Lamb wave nonlinear ultrasonic stress of a fiber-reinforced composite material in the first embodiment, where the air-coupled ultrasonic method is used for detecting a fiber-reinforced composite material to be detected, and obtaining a relative nonlinear coefficient of a sample of the fiber-reinforced composite material to be detected, and the method includes:
obtaining a one-dimensional nonlinear wave equation of the isotropic elastic material:
wherein u (x, t) is the particle displacement, x is the propagation distance of the ultrasonic wave, t is the propagation time of the ultrasonic wave, c is the wave velocity of the ultrasonic wave, and β is the ultrasonic nonlinear coefficient;
by utilizing the perturbation theory, the one-dimensional nonlinear wave equation solution is obtained as follows:
u(x,t)＝u0(x,t)+βu1(x,t)，
wherein u is0(x, t) represents a linear displacement, u1(x, t) represents displacement due to material nonlinearity;
the nonlinear displacement is proportional to the wave propagation distance:
u1(x,t)＝xf(t-x/c)，
wherein f (t-x/c) is an unknown function to be determined;
obtaining an unknown function to be determined by a perturbation approximation method:
wherein the content of the first and second substances,
is the ultrasonic wave number, and omega is the angular frequency of the ultrasonic wave;
the wave equation is solved as:
determining a relative nonlinear coefficient according to the amplitude A (2 omega) of the second harmonic and the amplitude A (omega) of the fundamental wave:
lamb waves are transmitted in a plate-shaped material, energy of the Lamb waves is limited by an upper interface and a lower interface and is continuously superposed, interfered and scattered, original stable transverse waves and longitudinal waves are reflected and subjected to mode conversion under the influence of a medium boundary, and regular superposition and coupling are generated among various waveforms to generate a transmission form of ultrasonic waves. And obtaining a relative nonlinear coefficient through a Lamb wave nonlinear ultrasonic technology so as to realize stress characterization.
Fifth, the present embodiment further defines the air-coupled Lamb wave nonlinear ultrasonic stress detection method for the fiber-reinforced composite material described in the first embodiment, and the stress detection method is verified by a least-squares linear fitting method.
The fiber reinforced composite material standard component is subjected to tensile stress and compressive stress application (the tensile stress is specified to be negative and the compressive stress is specified to be positive) by a certain step length by utilizing tensile and compression experiments, the relative nonlinear coefficients under different stresses are obtained respectively, the experiments are repeated for 10 times under the same stress to obtain 10 relative nonlinear coefficients, and the average value is taken as the relative nonlinear coefficient under the stress. Obtaining N groups of data, i is 1,2,3 …, N, and obtaining the relation between stress and relative nonlinear coefficient through least square linear fitting as follows:
σ＝kβ+b，
wherein k and b are the slope and intercept of the straight line obtained by least squares linear fitting, respectively.
The method comprises the steps of carrying out air coupling nonlinear ultrasonic stress detection simulation on a fiber reinforced composite material sample with the length of 280mm, the width of 38mm and the thickness of 8mm through a COMSOL simulation platform, selecting the central frequency f of an air coupling transducer as 200kHz, the inclination angle as 5 degrees, the distance between the air coupling transducer and a detection sample as 10mm, and symmetrically distributing excitation air coupling transducers and receiving air coupling transducers with the sample centers at a distance of 90 mm. And respectively applying tensile stress and compressive stress to two ends of a fiber reinforced composite material sample, and generating the tensile stress and the compressive stress at the central position of the sample by taking 100MPa as stepping, wherein the tensile stress is negative and the compressive stress is positive.
The frequency of an excitation signal is 200kHz, the periodicity is 10, the excitation signal is applied to an excitation space coupling transducer, Fourier transform and spectrum analysis are carried out on a receiving echo of the receiving space coupling transducer, and the fundamental wave amplitude and the second harmonic amplitude are obtained.
The simulation results are shown in the table below, and the results of a least squares fit of the stresses to the relative non-linear coefficients are shown in fig. 3. The least square fitting result is that the sigma is 141.71591 beta-919.60742, the fitting degree R is2The factor reaches 0.99072, and the calculation formula is as follows:
wherein σiIn order to be a series of true stress values,
for least-squares fitting the corresponding predicted values,
is the average of a series of predicted values.
TABLE 1 fundamental wave, second harmonic amplitude and relative nonlinear coefficient simulation result data under different stresses
| Stress (MPa) | A(ω)(mm) | A(2ω)(mm) | β(×10-4)(mm-1) |
| -500 | 216 | 14 | 3.00 |
| -400 | 221 | 17 | 3.48 |
| -300 | 223 | 21 | 4.22 |
| -200 | 221 | 25 | 5.11 |
| -100 | 220 | 28 | 5.79 |
| 0 | 210 | 30 | 6.80 |
| 100 | 202 | 31 | 7.60 |
| 200 | 196 | 31 | 8.07 |
| 300 | 195 | 33 | 8.41 |
| 400 | 203 | 37 | 8.98 |
| 500 | 220 | 48 | 9.92 |
As can be seen from the table, the effectiveness of the air coupling Lamb wave nonlinear ultrasonic stress detection method for the fiber reinforced composite material is very high.
In a sixth embodiment, an air-coupled Lamb wave nonlinear ultrasonic stress detection system for fiber-reinforced composite materials includes:
the processing unit is used for processing the fiber reinforced composite material to be detected;
an obtaining unit for obtaining a pure Lamb wave mode;
for determining antisymmetric modes A0A group velocity determination unit;
the detection unit is used for the air coupling ultrasonic detection;
and the obtaining unit is used for obtaining the relative nonlinear coefficient of the fiber reinforced composite material sample to be measured.
The seventh embodiment of the present invention provides an air-coupled Lamb wave nonlinear ultrasonic stress detection apparatus for a fiber-reinforced composite material, comprising:
one or more processors;
a memory; and
one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the programs comprising instructions for performing a method for air-coupled Lamb wave nonlinear ultrasonic stress detection for fiber-reinforced composite materials as described in any of the above steps.
Eighth embodiment, a computer-readable storage medium for storing a computer program for executing a method for detecting air-coupled Lamb wave nonlinear ultrasonic stress for a fiber-reinforced composite material according to any one of the above steps.
Embodiment nine is a computer device comprising a memory having a computer program stored therein and a processor performing a method for air-coupled Lamb wave nonlinear ultrasonic stress detection for fiber-reinforced composite materials according to any of the above steps when the processor runs the computer program stored in the memory.
Claims (9)
1. An air coupling Lamb wave nonlinear ultrasonic stress detection method for a fiber reinforced composite material is characterized by comprising the following steps:
obtaining a pure Lamb wave mode according to the processing of the fiber reinforced composite material to be detected, wherein the pure Lamb wave comprises a symmetrical mode S0And antisymmetric mode A0；
Determination of antisymmetric mode A from dispersion curve0Group velocity according to antisymmetry A0Carrying out space coupling ultrasonic detection in a mode;
and (3) carrying out air-coupled ultrasonic detection on the fiber reinforced composite material to be detected to obtain the relative nonlinear coefficient of the fiber reinforced composite material sample to be detected, namely obtaining the fiber reinforced composite material to be detected to realize stress characterization.
2. The method for detecting the nonlinear ultrasonic Lamb wave stress in the fiber-reinforced composite material according to claim 1, wherein the obtaining of the pure Lamb wave mode according to the processing of the fiber-reinforced composite material to be detected comprises:
and drawing a Lamb wave frequency dispersion curve by using the parameters of the fiber reinforced composite material to be detected, and determining the central frequency f of the air-coupled transducer by combining the thickness of the fiber reinforced composite material to be detected.
3. The method for detecting the nonlinear ultrasonic stress of the air-coupled Lamb waves for the fiber-reinforced composite material as claimed in claim 1, wherein the antisymmetric mode A is determined according to a dispersion curve0Group velocity according to the anti-symmetric mode A0Carrying out air coupling ultrasonic detection, wherein the detection system comprises the following processes:
determining A from the dispersion curve0Determining the inclination angle of the excitation and reception air-coupled transducer by using the modal group velocity and Snell law and the air sound velocity;
placing an air coupling transducer at any side of the sample in the stress concentration area according to the inclination angle, and determining the distance from the air coupling transducer to the sample according to the actual detection environment;
determining an excitation signal period N, adopting a nonlinear ultrasonic testing system to generate an excitation signal according to the determined center frequency f of the space coupling transducer, carrying out impedance matching on the excitation signal through a 50-ohm load, applying the excitation signal subjected to impedance matching on the excitation space coupling transducer through a low-pass filter, and receiving the echo of the excitation signal by using a receiving space coupling transducer at a receiving position;
and carrying out Fourier change and frequency domain analysis according to the echo of the received excitation signal to extract a fundamental frequency amplitude and a second harmonic amplitude so as to obtain a relative nonlinear coefficient.
4. The method for detecting the air-coupled Lamb wave nonlinear ultrasonic stress for the fiber-reinforced composite material according to claim 1, wherein the air-coupled ultrasonic detection of the fiber-reinforced composite material to be detected to obtain the relative nonlinear coefficient of the sample of the fiber-reinforced composite material to be detected comprises:
obtaining a one-dimensional nonlinear wave equation of the isotropic elastic material:
wherein u (x, t) is the particle displacement, x is the propagation distance of the ultrasonic wave, t is the propagation time of the ultrasonic wave, c is the wave velocity of the ultrasonic wave, and β is the ultrasonic nonlinear coefficient;
by utilizing the perturbation theory, the one-dimensional nonlinear wave equation solution is obtained as follows:
u(x,t)＝u0(x,t)+βu1(x,t)，
wherein u is0(x, t) represents a linear displacement, u1(x, t) represents displacement due to material nonlinearity;
the nonlinear displacement is proportional to the wave propagation distance:
u1(x,t)＝xf(t-x/c)，
wherein f (t-x/c) is an unknown function to be determined;
obtaining an unknown function to be determined by a perturbation approximation method:
wherein the content of the first and second substances,
is the ultrasonic wave number, and omega is the angular frequency of the ultrasonic wave;
the wave equation is solved as:
determining a relative nonlinear coefficient according to the amplitude A (2 omega) of the second harmonic and the amplitude A (omega) of the fundamental wave:
5. the method for detecting the nonlinear ultrasonic stress of the air-coupled Lamb waves for the fiber-reinforced composite material as recited in claim 1, wherein the center frequency f of the air-coupled transducer is 200 kHz.
6. An air-coupled Lamb wave nonlinear ultrasonic stress detection system for fiber-reinforced composites, the stress detection system comprising:
the processing unit is used for processing the fiber reinforced composite material to be detected;
an obtaining unit for obtaining a pure Lamb wave mode;
for determining antisymmetric modes A0A group velocity determination unit;
the detection unit is used for the air coupling ultrasonic detection;
and the obtaining unit is used for obtaining the relative nonlinear coefficient of the fiber reinforced composite material sample to be measured.
7. An air coupling Lamb wave nonlinear ultrasonic stress detection device for a fiber reinforced composite material, which is characterized by comprising:
one or more processors;
a memory; and
one or more programs, wherein one or more programs are stored in the memory and configured to be executed by the one or more processors, the programs comprising instructions for performing a method of air-coupled Lamb wave nonlinear ultrasonic stress detection for fiber-reinforced composite materials as recited in any of claims 1-5.
8. A computer-readable storage medium for storing a computer program for executing the method for detecting air-coupled Lamb wave nonlinear ultrasonic stress in a fiber-reinforced composite material according to any one of claims 1-5.
9. A computer device, characterized by: comprising a memory in which a computer program is stored and a processor which, when running the computer program stored by the memory, executes a method for air-coupled Lamb wave nonlinear ultrasonic stress detection for fiber-reinforced composite materials according to any of claims 1-5.
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| CN116295987A (en) * | 2023-01-29 | 2023-06-23 | 哈尔滨工业大学 | High-spatial-resolution stress dynamic measurement method based on air-coupled ultrasound |
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| CN115753991A (en) * | 2022-11-22 | 2023-03-07 | 哈尔滨工业大学 | Use method of space-coupled ultrasonic high-spatial-resolution stress field measuring device |
| GB2624731A (en) * | 2022-11-23 | 2024-05-29 | Stated Owned Wuhu Machinery Factory | Method, device, and system based on air-coupled ultrasound for measuring small-sized defect of carbon fiber reinforced plastic (CFRP) plate |
| CN116256091A (en) * | 2023-01-29 | 2023-06-13 | 哈尔滨工业大学 | Space coupling ultrasonic high-spatial resolution stress measurement method based on stepping differential acoustic time difference |
| CN116295987A (en) * | 2023-01-29 | 2023-06-23 | 哈尔滨工业大学 | High-spatial-resolution stress dynamic measurement method based on air-coupled ultrasound |
| CN116295987B (en) * | 2023-01-29 | 2023-10-24 | 哈尔滨工业大学 | High-spatial-resolution stress dynamic measurement method based on air-coupled ultrasound |
| CN116256091B (en) * | 2023-01-29 | 2023-11-03 | 哈尔滨工业大学 | Space coupling ultrasonic high-spatial resolution stress measurement method based on stepping differential acoustic time difference |
| CN116448295A (en) * | 2023-04-21 | 2023-07-18 | 哈尔滨工业大学 | Baseline-free air-coupled ultrasonic plane stress detection method based on Lamb wave single-mode double-frequency differential acoustic time ratio |
| CN116448295B (en) * | 2023-04-21 | 2024-04-30 | 哈尔滨工业大学 | Baseline-free air-coupled ultrasonic plane stress detection method based on Lamb wave single-mode double-frequency differential acoustic time ratio |
| CN116840291A (en) * | 2023-07-06 | 2023-10-03 | 中国石油大学(华东) | Ultrasonic and infrared thermal imaging integrated detection system and method sharing excitation source |
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