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Sparse Reconstruction and Damage Imaging Method Based on Uniform Sparse Sampling
Acta Mechanica Solida Sinica ( IF 2.0 ) Pub Date : 2020-10-24 , DOI: 10.1007/s10338-020-00194-9
Pengfei Li , Ying Luo , Kan Feng , Yang Zhou , Chenguang Xu

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.



中文翻译:

基于均匀稀疏采样的稀疏重建与损伤成像方法

基于导波的全波场检测方法可以依靠大量波场数据的收集来有效地检测和定位损伤。扫描激光多普勒振动计(SLDV)的采集过程通常很耗时,这受到Nyquist采样定理的限制。为了减少采集​​时间,可以结合少量的随机采样点信号和压缩传感来重建完整的波场数据。但是,需要通过将附加组件添加到SLDV系统或脱机处理来获得随机采样点信号。由于难以通过SLDV系统实现随机稀疏采样,因此本文提出了一种新的均匀稀疏采样策略。通过使用统一的稀疏采样坐标而不是随机空间采样点坐标,稀疏采样可以应用于SLDV,而无需添加其他组件或脱机处理。仿真和实验结果表明,所提出的策略可以将精确信号恢复所需的测量位置减少到Nyquist采样网格的90%以下,并且损伤位置误差在最小半波长范围内。与传统的抖动采样策略相比,所提出的采样策略可以直接将SLDV系统的采样时间减少90%以上,而无需添加其他组件,并且可以获得与抖动采样策略相同的导波场重构和损伤定位精度。研究结果可以大大提高基于波场分析的损伤检测技术的效率。

更新日期:2020-10-30
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