Ultrasonic guided wave propagation response modeling method and system with pulse response units connected in series
By using the method of cascading impulse response units, a standardized modular IR unit system was constructed, which solved the problems of high signal generation cost and unclear results in nondestructive testing of complex structures, and achieved efficient and accurate signal generation and detection.
Patent Information
- Application Number
- CN202511744015.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-11-25
- Publication Date
- 2026-02-24
AI Technical Summary
In the nondestructive testing of complex structures, existing technologies struggle to effectively distinguish between the inherent influence of the structure on the signal and the characteristic changes caused by damage. Furthermore, generating signal samples with complex paths is costly, and traditional models suffer from overfitting risks and a lack of clear physical interpretation of the results.
By employing a series impulsive response units (IR units), a short-duration, wide-bandwidth excitation signal is applied to one side of the structure to be detected to obtain an IR signal sequence. This sequence is then encapsulated into a standardized IR unit, and cascaded convolution operations are performed sequentially to generate the final output signal, thus constructing a modular system of standardized IR units.
It significantly improves the signal generation efficiency and detection accuracy of non-destructive testing of complex structures, reduces computational costs, avoids the risk of overfitting, provides a clear physical interpretation, and is applicable to various structural scenarios such as storage tanks and pipelines.
Smart Images
Figure CN121562289A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of nondestructive testing technology, and in particular to a method and system for modeling the propagation response of ultrasonic guided waves using a series of impulse response units. Background Technology
[0002] The statements in this section are merely background information related to the present invention and do not necessarily constitute prior art.
[0003] In the field of nondestructive testing (NDT), ultrasonic guided waves have been widely used for defect detection in industries such as petrochemicals, aerospace, and railway tracks. However, in practical engineering, the propagation path of guided waves often inevitably passes through various complex structures such as welds, lap joints, geometric abrupt changes, and material transitions. These structural units can significantly affect the signal, leading to the coupling of structural effects and damage effects, thereby interfering with or even masking the characteristic expression of damage in the signal. How to effectively distinguish between the inherent influence of structure on the signal and the characteristic changes caused by damage has become a key problem that urgently needs to be solved to improve the accuracy of defect detection in complex components.
[0004] To address the challenges of inspecting complex structures, building a signal database containing massive amounts of data on various operating conditions to support data-driven intelligent inspection algorithms has become a critical requirement. However, generating a vast number of signal samples covering various incident angles, geometric parameters, and material properties requires high-precision finite element (FE) simulations. While FE simulations can accurately capture guided wave propagation characteristics, their computational cost is extremely high. For example, a single simulation of a local weld structure can take several minutes, and generating thousands to tens of thousands of samples may take days to weeks. Multi-component structures further exacerbate the simulation difficulty, making rapid modeling and large-scale signal generation difficult and severely limiting the efficiency of database construction.
[0005] In existing technologies, on the one hand, to address the limited amount and lack of diversity of training data in the NDT field, Generative Adversarial Networks (GANs) are used to generate synthetic samples with statistical distributions similar to the original data to expand the dataset. However, this method cannot directly characterize the response characteristics of a specific input signal to a complex multi-unit structure, limiting its applicability in complex path detection. On the other hand, the TransUNet model with enhanced physical constraints is used, taking the thickness distribution image of the defective plate structure as input and outputting a global scattered sound field image to achieve accurate sound field prediction for complex defects. However, this method often faces the challenge of accurately describing physical constraints under complex structural conditions.
[0006] In addition, traditional end-to-end black box models (such as Seq2Seq neural networks) rely on large-scale data training, which carries the risk of overfitting, and the output results lack clear physical interpretation. In non-destructive testing scenarios with small sample sizes and high reliability requirements, they are prone to the "illusion response" problem. Summary of the Invention
[0007] To address the aforementioned issues, this invention proposes a method and system for modeling the propagation response of ultrasonic guided waves using cascaded pulse response units. This method significantly improves the generation efficiency of the detection signal database and provides efficient and reliable technical support for typical non-destructive testing scenarios such as storage tanks and pipelines.
[0008] To achieve the above objectives, the present invention adopts the following technical solution: In a first aspect, the present invention provides a method for modeling the propagation response of ultrasonic guided waves using cascaded impulse response units, comprising the following steps: A short-duration, wide-bandwidth excitation signal is applied to one side of the structure to be tested, and a pulse response signal sequence containing the dynamic characteristics of the structure to be tested is acquired on the other side of the structure to be tested. Based on the convolution operation rules of arbitrary ultrasonic excitation signal and impulse response signal sequence, the impulse response signal sequence is encapsulated into a standardized IR unit; The standardized IR units corresponding to each component in the structure to be tested are obtained respectively. The ultrasonic excitation signal is then convolved with each standardized IR unit in sequence according to the physical propagation path of the signal to obtain the final output signal.
[0009] As an alternative implementation, the short-time-width, wide-bandwidth excitation signal is a Gaussian pulse or a 0.5-period rectangular pulse, and the duration of applying the short-time-width, wide-bandwidth excitation signal is much shorter than the shortest response time scale of the structure under test; the response signal on the other side of the structure under test is obtained through finite element simulation or experimental measurement.
[0010] As an alternative implementation, the time-domain mathematical expression of the convolution operation rule is: ;in, For any ultrasonic excitation signal, To output the response signal, It is a sequence of impulse response signals. For response time, This is the integration variable used to iterate over the signal.
[0011] As an alternative implementation, in the frequency domain, the convolution operation rule is the product of the Fourier transform of the ultrasonic excitation signal and the Fourier transform of the impulse response signal sequence, expressed as: ;in, For the Fourier transform of the output response signal, Fourier transform of ultrasonic excitation signal, This is the Fourier transform of the impulse response signal sequence.
[0012] As an alternative implementation, the standardized IR unit is defined as: ;in, For standardized IR units, The input signal for the standardized IR unit, This is the output signal of the standardized IR unit.
[0013] As an alternative implementation, the specific process of the concatenated convolution operation is as follows: First, the ultrasonic excitation signal is convolved with the normalized IR unit of the first component in the signal's physical propagation path to generate an intermediate output signal. Then, the intermediate output signal is convolved with the normalized IR unit of the next adjacent component in the path until the convolution operation with the normalized IR unit of the last component in the path is completed. Finally, the final output signal is obtained.
[0014] Secondly, this invention provides an ultrasonic guided wave propagation response modeling system with cascaded pulse response units, comprising the following modules: The pulse response signal acquisition module is configured to: apply a short-duration, wide-bandwidth excitation signal to one side of the structure to be detected, and acquire a pulse response signal sequence containing the dynamic characteristics of the structure to be detected on the other side of the structure to be detected; The IR unit construction module is configured to encapsulate the impulse response signal sequence into a standardized IR unit based on the convolution operation rules of arbitrary ultrasonic excitation signal and impulse response signal sequence. The signal output module is configured to: acquire the standardized IR units corresponding to each component in the structure to be tested, and perform cascaded convolution operations between the ultrasonic excitation signal and each standardized IR unit according to the physical propagation path of the signal to obtain the final output signal.
[0015] Thirdly, the present invention provides an electronic device including a memory and a processor, and computer instructions stored in the memory and running on the processor, wherein the computer instructions, when executed by the processor, perform the method described in the first aspect.
[0016] Fourthly, the present invention provides a computer-readable storage medium for storing computer instructions, which, when executed by a processor, perform the method described in the first aspect.
[0017] Fifthly, the present invention provides a computer program product, including a computer program that, when executed by a processor, implements the method described in the first aspect.
[0018] Compared with the prior art, the beneficial effects of the present invention are as follows: This invention constructs a standardized IR unit, embedding the inherent physical response law of complex structures to ultrasonic guided wave propagation into a reusable IR unit, thereby changing the traditional FE repetitive calculation paradigm and significantly reducing the single signal response characterization time from minutes in FE simulation to milliseconds.
[0019] This invention significantly improves the flexibility and versatility of ultrasonic testing for complex paths by modularly stacking standardized IR units (concatenating and convolving the ultrasonic excitation signal with each standardized IR unit in sequence according to the physical propagation path of the signal), making it applicable to multi-structure scenarios such as storage tanks and pipelines, and significantly enhancing the applicability of complex testing scenarios.
[0020] Compared to end-to-end black-box models that rely on large-scale data training (such as Seq2Seq neural networks), this invention is built based on the principle of physical impulse response. It requires no training, has no risk of overfitting, and the output results have a clear physical interpretation (i.e., the time-domain realization of the system transfer function). Especially in non-destructive testing scenarios with small sample sizes and high reliability requirements, it avoids the "illusion response" problem caused by data bias in black-box models, significantly improving the credibility of engineering deployment.
[0021] Advantages of additional aspects of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. Attached Figure Description
[0022] The accompanying drawings, which form part of this invention, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an improper limitation of the invention.
[0023] Figure 1 A flowchart illustrating the framework of the ultrasonic guided wave propagation response modeling method with cascaded pulse response units provided by this invention. Figure 2 This is a schematic diagram of segmented modeling of the present invention; wherein, (a) is a schematic diagram of structural unit modeling; and (b) is a schematic diagram of overall modeling of complex paths. Figure 3 This is a schematic diagram of the pulse time-frequency signal of the present invention; wherein, (a) is a schematic diagram of the pulse waveform; (b) is a schematic diagram of the pulse excitation signal; and (c) is a schematic diagram of the pulse spectrum. Figure 4 This is a schematic diagram of the time-domain waveform of the impulse response signal (IR) of the present invention; Figure 5The figures show a comparison between the standardized IR unit and the finite element simulation results of this invention; where (a) is a schematic diagram of the 50 kHz 5-cycle sinusoidal wave response signal modulated by the Hanning window; (b) is a schematic diagram of the 75 kHz 5-cycle sinusoidal wave response signal modulated by the Hanning window; (c) is a schematic diagram of the 50 kHz 10-cycle sinusoidal wave response signal modulated by the Hanning window; and (d) is a schematic diagram of the 50 kHz sinusoidal wave response signal. Figure 6 This is a comparison chart of the standardized IR element superposition results and the finite element simulation results of this invention. Detailed Implementation
[0024] The present invention will be further described below with reference to the accompanying drawings and embodiments.
[0025] It should be noted that the following detailed description is exemplary and intended to provide further illustration of the invention. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains.
[0026] Where there is no conflict, the embodiments and features in the embodiments of the present invention can be combined with each other.
[0027] Example 1 To address the needs of complex multi-component structure inspection and large-scale signal database construction in engineering, such as Figure 1 As shown, this embodiment provides a method for modeling the propagation response of ultrasonic guided waves using cascaded impulse response units. This method abstracts and encapsulates the propagation effect of complex structural units: it characterizes the effect of the unit on any input signal using an impulse response function, and implements it as a function mapper capable of accepting input signals and outputting corresponding response signals, called an impulse response unit (IR unit). With the help of IR units, the signal-affecting characteristics of each structural unit can be decoupled and characterized at the path level, thereby significantly improving the guided wave damage detection capability under complex path conditions.
[0028] Furthermore, IR units can not only be cascaded to simulate the overall propagation response along complex paths, but also rapidly generate large-scale, multi-scenario detection signal sample libraries. This characteristic gives it a unique advantage in signal database construction, providing reliable training samples for subsequent data-driven methods (such as classification, transfer learning, and intelligent recognition), thereby accelerating the transformation of guided wave detection from theoretical modeling to practical engineering applications.
[0029] Includes the following steps: S1: Apply a short-duration, wide-bandwidth excitation signal to one side of the structure to be tested, and acquire a pulse response signal sequence containing the dynamic characteristics of the structure to be tested on the other side.
[0030] In step S1, the first step is the modeling setup: such as Figure 2 As shown, a finite element model is established for each structural unit, and signal excitation and receiving points are set to simulate the ultrasonic guided wave propagation process.
[0031] Next is the excitation setting. A short-duration, wide-bandwidth excitation signal, either a Gaussian pulse or a 0.5-period rectangular pulse, is applied to one side of the structure to be tested. The duration of the short-duration, wide-bandwidth excitation signal is much shorter than the shortest response time scale of the structure to be tested, thus approximately achieving the ideal Dirac pulse excitation.
[0032] In this embodiment, a short rectangular pulse signal is applied to one side of the structure to be detected to simulate an ideal Dirac pulse input, the mathematical expression of which is: ; Where A is the pulse amplitude. The short duration of this signal ensures that the response covers all frequency components of the structural unit. Figure 3 The time-domain waveform and spectral characteristics of the rectangular pulse signal are shown in the time intervals of 500μs and 5μs. Figure 3 (a) It exhibits the overall time-domain characteristics in the 500μs interval. Figure 3 (b) Zoom in to show the temporal details of the rectangular pulse within the 5μs interval. Figure 3 (c) Displays the wide bandwidth characteristics of the spectrum, highlighting its ability to cover the frequency of short pulses.
[0033] Then, the response is recorded. Through finite element simulation or experimental measurement, a sequence of pulse response signals containing the dynamic characteristics of the structure under test is obtained on the other side of the structure under test. The pulse response waveform is as follows: Figure 4 As shown, this sequence captures the dynamic characteristics of structural units, such as waveform scattering patterns and energy decay.
[0034] S2: Based on the convolution operation rules of arbitrary ultrasonic excitation signal and impulse response signal sequence, the impulse response signal sequence is encapsulated into a standardized IR unit.
[0035] In step S2, the convolution operation rule is as follows: for any ultrasonic excitation signal... Its output signal after passing through the structure to be detected The input ultrasonic excitation signal can be used to... With the acquired impulse response signal sequence We can quickly obtain the result by performing a convolution operation. The time-domain mathematical expression is: ;in, For any ultrasonic excitation signal, To output the response signal, It is a sequence of impulse response signals. For response time, This is the integration variable used to iterate over the signal.
[0036] In the frequency domain, the convolution operation rule is the product of the Fourier transform of the ultrasonic excitation signal and the Fourier transform of the impulse response signal sequence, expressed as: ;in, For the Fourier transform of the output response signal, Fourier transform of ultrasonic excitation signal, The transfer function is the Fourier transform of the impulse response signal sequence. It describes the complex-valued frequency response relationship between the excitation and response signals.
[0037] Based on the above convolution operation, the normalized IR unit is defined as: ;in, For standardized IR units, The input signal for the standardized IR unit, This is the output signal of the standardized IR unit.
[0038] Standardized IR units are stateless, deterministic, and composable functional modules: Stateless: The output is determined solely by the current input and the pre-stored IR, with no internal variables; Determinism: The same input will always produce the same output, and it has engineering reproducibility; Composable: Supports cascading and satisfies the convolution associative law. Unlike black-box neural networks, IR units require no training, have no generalization risk, and their results are fully physically interpretable.
[0039] In this embodiment, taking a fillet weld model as an example, the acquired pulse response signal sequence is... It is encapsulated as a standardized IR unit. An arbitrary ultrasonic excitation signal is input into the standardized IR unit, the output signal is obtained, and compared with the output signal directly calculated by finite element simulation.
[0040] like Figure 5 As shown, this embodiment uses four waveforms as excitation signals: a 50kHz and 75kHz 5-cycle sine wave modulated by a Hanning window, a 50kHz 10-cycle sine wave modulated by a Hanning window, and a 50kHz single-cycle sine wave. These are input to a standardized IR unit, and the calculated output waveform is compared with the output result obtained through finite element simulation. The standardized IR unit characterization signal and the analog signal show a high degree of agreement, with an average mean square error of less than 0.03 and an average Pearson correlation coefficient greater than 0.98, verifying the IR unit's ability to accurately characterize the dynamic characteristics of structural units.
[0041] S3: Obtain the standardized IR units corresponding to each component in the structure to be tested, and perform cascaded convolution operations between the ultrasonic excitation signal and each standardized IR unit according to the physical propagation path of the signal to obtain the final output signal.
[0042] In step S3, for scenarios where ultrasonic guided waves pass through two or more structural components sequentially along a specific propagation path, this embodiment supports the superposition of multiple standardized IR units.
[0043] The first step is segmented unit acquisition: for each structural component to be detected on each signal path, its corresponding standardized IR unit is acquired to characterize the dynamic response characteristics of each component.
[0044] Then comes the characterization of the signal response of the superimposed unit: First, the ultrasonic excitation signal is convolved with the normalized IR unit of the first component in the signal's physical propagation path to generate an intermediate output signal. Then, the intermediate output signal is convolved with the normalized IR unit of the next adjacent component in the path until the convolution operation with the normalized IR unit of the last component in the path is completed. Finally, the final output signal is obtained.
[0045] If an ultrasonic guided wave passes through N structural units in sequence, the impulse response of each unit is as follows: The equivalent impulse response of the entire composite path is then... for: In the time domain: ; Final output signal for: ; In this context, "*" represents a convolution operation.
[0046] In the frequency domain: ; Fourier transform of the final output signal for: .
[0047] In this embodiment, the initial ultrasonic excitation signal is first... (This embodiment uses a 50kHz 5-cycle sine wave modulated by a Hanning window) and the pulse response signal sequence of the fillet weld unit. Perform convolution operations to generate intermediate output signals. : ; Or in the frequency domain: ; Then the intermediate output signal As input, the pulse response signal sequence of the variable thickness butt weld element. Perform convolution operations to generate the final output signal. : ; Or in the frequency domain: .
[0048] Final output waveform Indicates the initial ultrasonic excitation signal The propagation result from the excitation point to the receiver point across the entire path. This is compared with the actual results of a one-time FE simulation of the entire complex path, as shown below. Figure 6 As shown, the mean square error of the output waveform in this embodiment is less than 0.03, and its characterization accuracy is comparable to that of a FE simulation that takes tens of minutes, while the calculation time for a single operation is less than 0.1 seconds. Through the modular superposition of IR units, large-scale signal samples can be generated quickly, supporting database construction.
[0049] This embodiment efficiently simulates the guided wave propagation characteristics of complex paths by modularly stacking standardized IR units, significantly reducing computational costs and shortening the single signal representation time from minutes to milliseconds. The method supports multi-unit path scenarios and is suitable for non-destructive testing applications such as tank bottom welds and pipeline butt welds, greatly improving signal generation efficiency.
[0050] Example 2 This embodiment provides an ultrasonic guided wave propagation response modeling system with cascaded impulse response units, including the following modules: The pulse response signal acquisition module is configured to: apply a short-duration, wide-bandwidth excitation signal to one side of the structure to be detected, and acquire a pulse response signal sequence containing the dynamic characteristics of the structure to be detected on the other side of the structure to be detected; The IR unit construction module is configured to encapsulate the impulse response signal sequence into a standardized IR unit based on the convolution operation rules of arbitrary ultrasonic excitation signal and impulse response signal sequence. The signal output module is configured to: acquire the standardized IR units corresponding to each component in the structure to be tested, and perform cascaded convolution operations between the ultrasonic excitation signal and each standardized IR unit according to the physical propagation path of the signal to obtain the final output signal.
[0051] It should be noted that the above modules correspond to the steps in Embodiment 1, and the examples and application scenarios implemented by the above modules and their corresponding steps are the same, but are not limited to the content disclosed in Embodiment 1. It should also be noted that the above modules can be executed in a computer system as part of the system.
[0052] In further embodiments, the following is also provided: An electronic device includes a memory and a processor, as well as computer instructions stored in the memory and running on the processor, which, when executed by the processor, perform the method described in Embodiment 1. For brevity, further details are omitted here.
[0053] It should be understood that in this embodiment, the processor can be a central processing unit (CPU), or it can be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor can be a microprocessor or any conventional processor.
[0054] A computer-readable storage medium for storing computer instructions that, when executed by a processor, perform the method of Embodiment 1.
[0055] The method in Example 1 can be directly executed by a hardware processor, or it can be executed by a combination of hardware and software modules within the processor. The software modules can reside in readily available storage media in the art, such as random access memory, flash memory, read-only memory, programmable read-only memory, electrically erasable programmable memory, or registers. This storage medium is located in memory; the processor reads information from the memory and, in conjunction with its hardware, completes the steps of the above method. To avoid repetition, a detailed description is not provided here.
[0056] A computer program product includes a computer program that, when executed by a processor, implements the method in Embodiment 1.
[0057] The present invention also provides at least one computer program product tangibly stored on a non-transitory computer-readable storage medium. The computer program product includes computer-executable instructions, such as instructions included in program modules, which execute in a device on a target real or virtual processor to perform the processes / methods described above. Typically, program modules include routines, programs, libraries, objects, classes, components, data structures, etc., that perform specific tasks or implement specific abstract data types. In various embodiments, the functionality of program modules can be combined or divided among program modules as needed. The machine-executable instructions for the program modules can execute within a local or distributed device. In a distributed device, the program modules can reside in both local and remote storage media.
[0058] The computer program code used to implement the methods of the present invention may be written in one or more programming languages. This computer program code may be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing device, such that when executed by the computer or other programmable data processing device, the program code causes the functions / operations specified in the flowcharts and / or block diagrams to be implemented. The program code may be executed entirely on a computer, partially on a computer, as a stand-alone software package, partially on a computer and partially on a remote computer, or entirely on a remote computer or server.
[0059] In the context of this invention, computer program code or related data may be carried by any suitable carrier to enable a device, apparatus, or processor to perform the various processes and operations described above. Examples of carriers include signals, computer-readable media, and the like. Examples of signals may include electrical, optical, radio, sound, or other forms of propagation signals, such as carrier waves, infrared signals, etc.
[0060] While the specific embodiments of the present invention have been described above in conjunction with the accompanying drawings, this is not intended to limit the scope of protection of the present invention. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art without creative effort based on the technical solutions of the present invention are still within the scope of protection of the present invention.
Claims
1. A method for modeling the propagation response of ultrasonic guided waves using cascaded impulse response units, characterized in that, Includes the following steps: A short-duration, wide-bandwidth excitation signal is applied to one side of the structure to be tested, and a pulse response signal sequence containing the dynamic characteristics of the structure to be tested is acquired on the other side of the structure to be tested. Based on the convolution operation rules of arbitrary ultrasonic excitation signal and impulse response signal sequence, the impulse response signal sequence is encapsulated into a standardized IR unit; The standardized IR units corresponding to each component in the structure to be tested are obtained respectively. The ultrasonic excitation signal is then convolved with each standardized IR unit in sequence according to the physical propagation path of the signal to obtain the final output signal.
2. The ultrasonic guided wave propagation response modeling method with cascaded impulse response units as described in claim 1, characterized in that, The short-duration, wide-band excitation signal is a Gaussian pulse or a 0.5-period rectangular pulse, and the duration of the short-duration, wide-band excitation signal is much shorter than the shortest response time scale of the structure under test; the response signal on the other side of the structure under test is obtained through finite element simulation or experimental measurement.
3. The ultrasonic guided wave propagation response modeling method with cascaded impulse response units as described in claim 1, characterized in that, The time-domain mathematical expression of the convolution operation rule is: ;in, For any ultrasonic excitation signal, To output the response signal, It is a sequence of impulse response signals. For response time, This is the integration variable used to iterate over the signal.
4. The ultrasonic guided wave propagation response modeling method with cascaded impulse response units as described in claim 2, characterized in that, In the frequency domain, the convolution operation rule is the product of the Fourier transform of the ultrasonic excitation signal and the Fourier transform of the impulse response signal sequence, expressed as: ;in, For the Fourier transform of the output response signal, Fourier transform of ultrasonic excitation signal, This is the Fourier transform of the impulse response signal sequence.
5. The ultrasonic guided wave propagation response modeling method with cascaded impulse response units as described in claim 1, characterized in that, The standardized IR unit is defined as follows: ;in, For standardized IR units, The input signal for the standardized IR unit, This is the output signal of the standardized IR unit.
6. The ultrasonic guided wave propagation response modeling method with cascaded impulse response units as described in claim 1, characterized in that, The specific process of the cascaded convolution operation is as follows: First, the ultrasonic excitation signal is convolved with the normalized IR unit of the first component in the signal's physical propagation path to generate an intermediate output signal. Then, the intermediate output signal is convolved with the normalized IR unit of the next adjacent component in the path until the convolution operation with the normalized IR unit of the last component in the path is completed. Finally, the final output signal is obtained.
7. An ultrasonic guided wave propagation response modeling system with cascaded impulse response units, characterized in that, include: The pulse response signal acquisition module is configured to: apply a short-duration, wide-bandwidth excitation signal to one side of the structure to be detected, and acquire a pulse response signal sequence containing the dynamic characteristics of the structure to be detected on the other side of the structure to be detected; The IR unit construction module is configured to encapsulate the impulse response signal sequence into a standardized IR unit based on the convolution operation rules of arbitrary ultrasonic excitation signal and impulse response signal sequence. The signal output module is configured to: acquire the standardized IR units corresponding to each component in the structure to be tested, and perform cascaded convolution operations between the ultrasonic excitation signal and each standardized IR unit according to the physical propagation path of the signal to obtain the final output signal.
8. An electronic device, characterized in that, The method includes a memory and a processor, as well as computer instructions stored in the memory and running on the processor. When the processor executes the computer instructions, it completes the ultrasonic guided wave propagation response modeling method of the pulse response unit series according to any one of claims 1-6.
9. A computer-readable storage medium, characterized in that, Used to store computer instructions, which, when executed by a processor, complete the ultrasonic guided wave propagation response modeling method of pulse response units in series as described in any one of claims 1-6.
10. A computer program product, characterized in that, The method includes a computer program that, when executed by a processor, implements the ultrasonic guided wave propagation response modeling method of the series pulse response units as described in any one of claims 1-6.