A guided wave dispersion compensation method based on compressed sensing

Xu, Caibin; Yang, Zhibo; Chen, Xuefeng; Tian, Shu; Xie, Yonghui

doi:10.1016/j.ymssp.2017.09.043

Cited by 102 publications

(59 citation statements)

References 41 publications

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“…The grid density and time step were selected according to the convergence at the maximum frequency. Figure 2a shows an aluminum plate model with a single damage through the hole circular damage with the diameter of 10 mm, in which the center of excitation source and damage coordinates are, respectively, (20,20) and (80, 100) under the local coordinates of the construction. The measurement area is 120 × 120 mm, and the reconstruction area is 200 × 200 mm.…”

Section: Simulation Model and Parameter Settingmentioning

confidence: 99%

“…As an excellent signal reconstruction strategy, compressed sensing (CS) has attached much attention in the guided wave based NDT and SHM [17]. Based on the sparse prior of Lamb waves in a specified base, some sparse reconstruction algorithms have been developed to realize the reconstruction of the dispersion curve [18], wavefield [19], amplitude [20], and to locate damage [21]. Harley and Moura [18,22] extracted the wave number sparsity in the frequency wave number domain to reconstruct the dispersion relation.…”

Section: Introductionmentioning

confidence: 99%

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Sparse Reconstruction and Damage Imaging Method Based on Uniform Sparse Sampling

Luo

Feng

et al. 2020

Acta Mech. Solida Sin.

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The full wavefield detection method based on guided waves can efficiently detect and locate damages relying on the collection of large amounts of wavefield data. The acquisition process by scanning laser Doppler vibrometer (SLDV) is generally time-consuming, which is limited by Nyquist sampling theorem. To reduce the acquisition time, full wavefield data can be reconstructed from a small number of random sampling point signals combining with compressed sensing. However, the random sampling point signals need to be obtained by adding additional components to the SLDV system or offline processing. Because the random sparse sampling is difficult to achieve via the SLDV system, a new uniform sparse sampling strategy is proposed in this paper. By using the uniform sparse sampling coordinates instead of the random spatial sampling point coordinates, sparse sampling can be applied to SLDV without adding additional components or offline processing. The simulation and experimental results show that the proposed strategy can reduce the measurement locations required for accurate signal recovery to less than 90% of the Nyquist sampling grid, and the damage location error is within the minimum half wavelength. Compared with the conventional jittered sampling strategy, the proposed sampling strategy can directly reduce the sampling time of the SLDV system by more than 90% without adding additional components and achieve the same accuracy of guided wavefield reconstruction and damage location as the jittered sampling strategy. The research results can greatly improve the efficiency of damage detection technology based on wavefield analysis.

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Section: Simulation Model and Parameter Settingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sparse Reconstruction and Damage Imaging Method Based on Uniform Sparse Sampling

Luo

Feng

et al. 2020

Acta Mech. Solida Sin.

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show abstract

“…, H(Àω)=e Àik(Àω)x is the phase spectrum of the dispersion function and K 0 (ω) is the wavenumber that determines the dispersion relation of Lamb waves mode. The above-mentioned techniques are performed with the received Lamb waves signals that can be named as the post-processing dispersion compensation techniques and more detail process of them are introduced in Refs [ [51][52][53][57][58][59][60].…”

Section: Waveform Modulation Techniquesmentioning

confidence: 99%

“…It has been studied for dispersed compression [60,68] and defects information extraction [69,70]. Zeng et al [70] carefully designed the amplitude of the input signal before the time reversal process.…”

Section: Waveform Modulation Techniquesmentioning

confidence: 99%

Application and Challenges of Signal Processing Techniques for Lamb Waves Structural Integrity Evaluation: Part A-Lamb Waves Signals Emitting and Optimization Techniques

Liu¹,

Chen²

2018

Structural Health Monitoring From Sensing to Processing

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Lamb waves have been widely studied in structural integrity evaluation during the past decades with their low-attenuation and multi-defects sensitive nature. The performance of the evaluation has close relationship with the vibration property and the frequency of Lamb waves signals. Influenced by the nature of Lamb waves and the environment, the received signals may be difficult to interpret that limits the performance of the detection. So pure Lamb waves mode emitting and high-resolution signals acquisition play important roles in Lamb waves structural integrity evaluation. In this chapter, the basic theory of Lamb waves nature and some environment factors that should be considered in structural integrity evaluation are introduced. Three kinds of typical transduces used for specific Lamb waves mode emitting and sensing are briefly introduced. Then the development of techniques to improve the interpretability of signals are discussed, including the waveform modulation techniques, multi-scale analysis techniques and the temperature effect compensation techniques are summarized.

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“…Hua [20] performed the dispersion compensation by applying time reversed on the excitation signal with a given distance. Xu [21] developed a dispersion compensation method based on compressed sensing.…”

Section: Introductionmentioning

confidence: 99%

Dispersion Compensation Method for Lamb Waves Based on Measured Wavenumber

Yan

2020

Shock and Vibration

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In this study, a delta wavenumber dispersion compensation (∆K-DC) method was developed and applied, not only with the theoretical wavenumber but also with the measured wavenumber. Dispersion compensation can be achieved by the following steps: relative wavenumber measurement, traveling distance estimation, phase compensation, and wave correction. The feasibility of ∆K-DC with the theoretical wavenumber and measured wavenumber was validated with a high-dispersive A0 mode in a 2 mm steel plate experiment. The results showed that phase spectrum measurement was an effective method to construct the wavenumber curve, the propagation distances estimated by SAP2 were very accurate, and the dispersive signals can be compensated perfectly by applying the phase compensation and wave correction methods for each wavepacket. The present results highlight the application of ∆K-DC on dispersion compensation without any material parameters of a waveguide.

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A guided wave dispersion compensation method based on compressed sensing

Cited by 102 publications

References 41 publications

Sparse Reconstruction and Damage Imaging Method Based on Uniform Sparse Sampling

Sparse Reconstruction and Damage Imaging Method Based on Uniform Sparse Sampling

Application and Challenges of Signal Processing Techniques for Lamb Waves Structural Integrity Evaluation: Part A-Lamb Waves Signals Emitting and Optimization Techniques

Dispersion Compensation Method for Lamb Waves Based on Measured Wavenumber

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