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基于经验模态分解和相关系数对玻璃纤维增强聚合物复合材料板的损伤识别及扫查成像

万陶磊 常俊杰 曾雪峰 李媛媛

万陶磊, 常俊杰, 曾雪峰, 等. 基于经验模态分解和相关系数对玻璃纤维增强聚合物复合材料板的损伤识别及扫查成像[J]. 复合材料学报, 2020, 37(8): 1921-1931 doi:  10.13801/j.cnki.fhclxb.20191031.003
引用本文: 万陶磊, 常俊杰, 曾雪峰, 等. 基于经验模态分解和相关系数对玻璃纤维增强聚合物复合材料板的损伤识别及扫查成像[J]. 复合材料学报, 2020, 37(8): 1921-1931 doi:  10.13801/j.cnki.fhclxb.20191031.003
Taolei WAN, Junjie CHANG, Xuefeng ZENG, Yuanyuan LI. Damage identification and scanning imaging of glass fiber reinforced polymer composite plates based on empirical mode decomposition and correlation coefficient[J]. Acta Materiae Compositae Sinica, 2020, 37(8): 1921-1931. doi: 10.13801/j.cnki.fhclxb.20191031.003
Citation: Taolei WAN, Junjie CHANG, Xuefeng ZENG, Yuanyuan LI. Damage identification and scanning imaging of glass fiber reinforced polymer composite plates based on empirical mode decomposition and correlation coefficient[J]. Acta Materiae Compositae Sinica, 2020, 37(8): 1921-1931. doi: 10.13801/j.cnki.fhclxb.20191031.003

基于经验模态分解和相关系数对玻璃纤维增强聚合物复合材料板的损伤识别及扫查成像

doi: 10.13801/j.cnki.fhclxb.20191031.003
基金项目: 国家自然科学基金(11464030)
详细信息
    通讯作者:

    常俊杰,博士,副教授,研究方向为超声无损检测的应用技术及检测设备的研发 E-mail:junjiechang@hotmail.com

  • 中图分类号: TB559

Damage identification and scanning imaging of glass fiber reinforced polymer composite plates based on empirical mode decomposition and correlation coefficient

  • 摘要: 针对外界环境噪声等因素造成损伤因子不敏感,导致复合材料损伤识别困难和成像误差大等问题,提出了一种基于经验模态分解(Empirical mode decomposition, EMD)和相关系数的损伤因子。用空气耦合探头采集损伤前后的Lamb波信号进行EMD分解获取多个本征模态分量(Intrinsic mode function, IMF)。根据相关系数获取与信号相关性最大的IMF分量,并定义其能量值的相对变化为损伤因子。在模拟噪声环境前后,分别对玻璃纤维增强聚合物复合材料(GFRP)板中的分层缺陷进行识别和扫查成像,验证了该损伤因子的有效性。结果表明:信号经过EMD分解后,与其相关性最大的IMF分量对损伤最敏感,能够定义为识别损伤的损伤因子。将该损伤因子结合概率成像方法进行空耦Lamb波扫查,不仅能够有效对复合材料中的缺陷进行成像,而且在模拟强噪声环境中具有良好的抗噪性。
  • 图  1  空气耦合超声检测实验系统示意图

    Figure  1.  Schematic diagram of air-coupled ultrasonic experimental system

    图  2  空气耦合超声探头入射角度频散曲线

    Figure  2.  Air-coupled ultrasonic probe incidence angle dispersion curves

    图  3  无损伤信号的前四阶本征模态(IMF)分量

    Figure  3.  Intrinsic mode function(IMF) components of the first four orders of no damage signal

    图  4  无损伤信号的前四阶IMF分量频谱

    Figure  4.  Spectra of IMF components of the first four orders of no damage signal

    图  5  IMF分量与原始信号的相关系数

    Figure  5.  Correlation coefficient between IMF components and original signal

    图  6  损伤前后信号的各阶IMF能量差

    Figure  6.  All IMF components energy differences of signals before and after damage

    图  7  椭圆分布概率损伤示意图

    Figure  7.  Elliptic distribution probability damage diagram

    图  8  GFRP本征模态能量损伤因子(IEDI)与扫查距离的关系

    Figure  8.  Relationship between intrinsic mode function energy damage index(IEDI) and scanning distance of GFRP

    图  9  GFRP空耦C扫查成像与IEDI成像

    Figure  9.  Air-coupled C-scan imaging and IEDI imaging of GFRP

    图  10  添加噪声信号后GFRP有无损伤信号

    Figure  10.  No damage and damage signal with adding noise signal of GFRP

    图  11  GFRP噪声信号与其IMF分量的相关系数

    Figure  11.  Correlation coefficients between noise signals with their IMF components of GFRP

    图  12  GFRP损伤前后噪声信号与参考信号IMF分量的能量差异

    Figure  12.  Energy differences of IMF components of noise signal and reference signal before and after damage of GFRP

    图  13  基于IEDI在不同等级噪声下GFRP的损伤成像

    Figure  13.  Damage imaging based on IEDI under different levels of noise of GFRP

    图  14  基于计盒维数损伤因子(BDI)在不同等级噪声下的损伤成像

    Figure  14.  Damage imaging based on box-counting dimension damage index(BDI) under different levels of noise

    表  1  GFRP不同损伤因子的对比结果

    Table  1.   Comparison results of different damage factors of GFRP

    Noise levelBox counting-dimensionBDIIMF energyIEDI
    No damageDamageNo damageDamage
    No noise 1.14 1.53 0.057 25.85 2.62 0.90
    9 dB 1.55 1.60 0.03 19.55 1.15 0.94
    5 dB 1.58 1.63 0.03 21.39 1.09 0.94
    1 dB 1.62 1.66 0.02 19.61 1.52 0.92
    0.1 dB 1.63 1.66 0.01 15.77 1.92 0.87
    下载: 导出CSV

    表  2  GFRP成像定位结果

    Table  2.   Imaging location results of GFRP

    Noise levelActual positionIEDI positionError/mmBDI positionError/mm
    (x,y)(x,y)(x,y)
    No noise (92,98) (92,99) 1.00 (92,100) 2.00
    9 dB (92,98) (93,98) 1.00 (92,100) 2.00
    5 dB (92,98) (93,98) 1.00 (91,100) 2.23
    1 dB (92,98) (93,99) 1.41 (90,100) 2.82
    0.1 dB (92,98) (93,99) 1.41 (90,101) 3.60
    下载: 导出CSV

    表  3  GFRP不同损伤因子成像后在xy方向上的定量结果

    Table  3.   Imaging results of different damage factors in the x and y directions of GFRP

    Noise levelAutal sizeIEDI sizeError/mmBDI sizeError /mm
    x/mmy/mmx/mmy/mmx/mmy/mmx/mmy/mmx/mmy/mm
    No noise 35.00 35.00 38.40 37.20 3.40 2.20 30.20 31.50 4.80 3.50
    9 dB 35.00 35.00 38.70 39.70 3.70 4.70 27.90 29.60 7.10 5.40
    5 dB 35.00 35.00 39.10 39.90 4.10 4.90 27.70 30.40 7.30 4.60
    1 dB 35.00 35.00 38.90 40.30 3.90 5.30 30.00 98.20 5.00 63.20
    0.1 dB 35.00 35.00 38.20 38.40 3.20 3.40 52.60 98.80 17.60 63.80
    下载: 导出CSV
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  • 收稿日期:  2019-09-05
  • 录用日期:  2019-10-18
  • 网络出版日期:  2019-10-31
  • 刊出日期:  2020-08-31

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