基于压缩感知的Lamb波信号成分分离
Lamb wave signal component separation based on compressed sensing
摘 要
损伤检测中常用的超声导波为Lamb波，其传播距离长，灵敏度高，但多模态及频散效应降低了其在时间和空间上的分辨率。提出了一种基于压缩感知的Lamb波成像处理方法，该方法需要构造精确的字典来匹配损伤反射Lamb波信号。利用MATLAB软件模拟得到不同行进距离的单模态信号，通过该信号来建立单模态字典；采用压缩感知得到系数矩阵，选择出单模态字典中最匹配损伤反射信号的原子，并用其表征原始信号以完成模态分离。建立了非频散字典，最终得到单模态、非频散的信号。
导波成像
重构
dictionary
guided wave imaging
reconstruction
Abstract
Lamb wave, as a commonly used guided wave in structure detection, is characteristic of long propagation distance and high capability, but its multi-mode and dispersion effect reduces its temporal and spatial resolutions for its application, to some extent. A Lamb wave imaging processing method based on compressed sensing is proposed, which needs to construct a reasonable dictionary to match the reflected Lamb wave signal. Firstly, MATLAB numerical simulation was used to obtain single-mode signals with different travel distances to build a single-mode modal dictionary; then the single-mode modality was selected by compressing the matrix. Similarly, a non-dispersion dictionary was built up, and a single-mode signal with no dispersion was obtained.
中图分类号 TG115.28 DOI 10.11973/wsjc202110010
所属栏目 试验研究
基金项目 山东省重点研发计划（2019GHY112083）；山东省自然科学基金（ZR2020ME268）；江苏省自然科学基金（BK20201189）；2021年度GF科研联合培育项目（202165006）
收稿日期 2021/7/27
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备注穆为磊(1986-),男,副教授,主要从事无损检测工作
引用该论文: MU Weilei,GAO Yuqing,WU Mengmeng,MING Yue. Lamb wave signal component separation based on compressed sensing[J]. Nondestructive Testing, 2021, 43(10): 44～47
穆为磊,高宇清,吴猛猛,明岳. 基于压缩感知的Lamb波信号成分分离[J]. 无损检测, 2021, 43(10): 44～47
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参考文献
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【10】XU C B, YANG Z B, CHEN X F, et al.A guided wave dispersion compensation method based on compressed sensing[J].Mechanical Systems and Signal Processing, 2018, 103:89-104.
【11】XU C B, YANG Z B, QIAO B J, et al.A parameter estimation based sparse representation approach for mode separation and dispersion compensation of Lamb waves in isotropic plate[J].Smart Materials and Structures, 2020, 29(3):035020.
【12】李鸿源, 徐鸿, 田振华.Lamb波损伤散射及损伤成像的模拟[J].无损检测, 2012, 34(9):12-15, 26.
【2】WANG C H, ROSE J T, CHANG F K.A synthetic time-reversal imaging method for structural health monitoring[J].Smart Materials and Structures, 2004, 13(2):415-423.
【3】王晶, 周波.铝板结构主动Lamb波扫查合成损伤成像方法[J].无损检测, 2010, 32(4):246-248, 276.
【4】ZHAO X L, GAO H D, ZHANG G F, et al.Active health monitoring of an aircraft wing with embedded piezoelectric sensor/actuator network:I.Defect detection, localization and growth monitoring[J].Smart Materials and Structures, 2007, 16(4):1208-1217.
【5】PERELLI A, DE MARCHI L, FLAMIGNI L, et al.Best basis compressive sensing of guided waves in structural health monitoring[J].Digital Signal Processing, 2015, 42:35-42.
【6】ROJAS E, BALTAZAR A, LOH K J.Damage detection using the signal entropy of an ultrasonic sensor network[J].Smart Materials and Structures, 2015, 24(7):075008.
【7】ALGURI K S, MELVILLE J, HARLEY J B. Baseline-free guided wave damage detection with surrogate data and dictionary learning[J].The Journal of the Acoustical Society of America, 2018, 143(6):3807.
【8】HUA J D, GAO F, ZENG L, et al.Modified sparse reconstruction imaging of lamb waves for damage quantitative evaluation[J].NDT & E International, 2019, 107:102143.
【9】XU C B, YANG Z B, DENG M X.Weighted structured sparse reconstruction-based lamb wave imaging exploiting multipath edge reflections in an isotropic plate[J].Sensors, 2020, 20(12):3502.
【10】XU C B, YANG Z B, CHEN X F, et al.A guided wave dispersion compensation method based on compressed sensing[J].Mechanical Systems and Signal Processing, 2018, 103:89-104.
【11】XU C B, YANG Z B, QIAO B J, et al.A parameter estimation based sparse representation approach for mode separation and dispersion compensation of Lamb waves in isotropic plate[J].Smart Materials and Structures, 2020, 29(3):035020.
【12】李鸿源, 徐鸿, 田振华.Lamb波损伤散射及损伤成像的模拟[J].无损检测, 2012, 34(9):12-15, 26.
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