Location Imaging of Composite Plate Damage Based on Cross Recurrence Rate

doi:10.3969/j.issn.1004-132X.2023.08.008

Abstract

Abstract: Based on cross-recursion rate， a damage localization imaging method was proposed to address the difficulty in constructing a damage index for composite plates based on Lamb waves. This method firstly described the damage information in each sensing path by cross-recursion rate and constructed a damage index based on the cross-recursion rate. Combined with the elliptical probability imaging algorithm， the method implemented the damage localization detections of composite plates. The results of finite element simulation and fatigue test data analysis show that this method may accurately locate the internal damages of composite plates and identify the damage location even in the presence of noise interference.

Key words: composite material, recurrence analysis, feature extraction, non-destructive testing, damage localization imaging

摘要： 针对基于Lamb波的复材板损伤指数构建困难的问题，提出了一种基于交叉递归率的损伤定位成像方法。该方法首先采用交叉递归率对各传感路径中的损伤信息进行描述，构建了基于交叉递归率的损伤指数，结合椭圆概率成像算法实现了复材板的损伤定位检测。有限元仿真与疲劳试验数据分析结果表明，该方法能实现复材板内部损伤的准确定位成像，在噪声干扰情况下仍能准确识别损伤位置。

关键词: 复合材料, 递归分析, 特征提取, 无损检测, 损伤定位成像

CLC Number:

TP33

LIU Xiaofeng, ZHANG Tianyu, ZHANG Chunbing, BO Lin. Location Imaging of Composite Plate Damage Based on Cross Recurrence Rate [J]. China Mechanical Engineering, 2023, 34(08): 940-947.

刘小峰, 张天瑀, 张春兵, 柏林. 基于交叉递归率的复材板损伤定位成像方法[J]. 中国机械工程, 2023, 34(08): 940-947.

References

［1］夏小松，郑艳萍. 基于Lamb波时间反转法的复合材料损伤检测［J］. 中国机械工程， 2021， 32（1）：26-31.
XIA Xiaosong， ZHENG Yanping. Damage Detection of Composite Materials Based on Lamb Wave Time Reversal Method［J］. China Mechanical Engineering， 2021， 32（1）：26-31.
［2］孔琼英，叶波，邓为权，等. 基于ToF损伤因子的碳纤维复合材料疲劳损伤概率成像方法［J］. 激光与光电子学进展， 2021， 58（16）：171-179.
KONG Qiongying， YE Bo， DENG Weiquan， et al. Fatigue Damage Probability Imaging Method of Carbon Fiber Composites Based on TOF Damage Factor［J］. Advances in Laser and Optoelectronics， 2021， 58（16）：171-179.
［3］汪方斌，孙凡，朱达荣，等. 一种基于偏振热像的金属疲劳损伤评估方法［J］. 光学学报， 2020， 40（14）：124-134.
WANG Fangbin， SUN Fan， ZHU Darong， et al. A Metal Fatigue Damage Evaluation Method Based on Polarization Thermal Image［J］. Journal of Optics， 2020， 40（14）：124-134.
［4］齐添添，陈尧，李昕，等. 基于时间反转的玻璃钢复合板材声发射源定位方法［J］. 仪器仪表学报， 2020， 41（6）：208-217.
QI Tiantian， CHEN Yao， LI Xin， et al. Acoustic Emission Source Location Method of FRP Composite Plate Based on Time Reversal［J］. Journal of Instrumentation， 2020， 41（6）：208-217.
［5］WANG W， ZHANG H， LYNCH J P， et al. Experimental and Numerical Validation of Guided Wave Phased Arrays Integrated within Standard Data Acquisition Systems for Structural Health Monitoring［J］. Structural Control & Health Monitoring， 2018， 25（6）：e2171.
［6］严刚，周丽. 基于损伤存在概率成像方法的复合材料结构损伤识别［J］. 振动与冲击， 2012， 31（13）：76-80.
YAN Gang， ZHOU Li. Damage Identification of Composite Structures Based on Damage Probability Imaging Method［J］. Vibration and Impact， 2012， 31（13）：76-80.
［7］XU Caibin， DENG Mingxi. Waveform Covariance Imaging for Lamb Wave Phased Array［J］. Structural Health Monitoring， 2022， 22（1）：83948759.
［8］苏晨辉. 基于主动Lamb波的复合材料层合板损伤识别技术研究［D］. 济南：山东大学， 2020.
SU Chenhui. Research on Damage Identification Technology of Composite Laminates Based on Active Lamb Wave［D］. Jinan：Shandong University， 2020.
［9］刘国强，肖迎春，张华，等. 复合材料加筋壁板损伤识别的概率成像方法［J］. 复合材料学报， 2018， 35（2）：311-319.
LIU Guoqiang， XIAO Yingchun， ZHANG Hua， et al. Probabilistic Imaging Method for Damage Identification of Composite Stiffened Panels［J］. Journal of Composites， 2018， 35（2）：311-319.
［10］SHA G， HAO X U， RADZIENSKI M， et al. Guided Wavefield Curvature Imaging of Invisible Damage in Composite Structures［J］. Mechanical Systems and Signal Processing， 2021， 150：107240.
［11］冯勇明，周丽，李真. 基于匹配追踪的蜂窝夹层复合材料损伤检测［J］. 仪器仪表学报， 2012， 33（4）：836-843.
FENG Yongming， ZHOU Li， LI Zhen. Damage Detection of Honeycomb Sandwich Composites Based on Matching Tracking［J］. Journal of Instrumentation， 2012， 33（4）：836-843.
［12］刘小峰，杨康俊，柏林. 基于Lamb波递归量化分析的复合材料裂纹损伤定征研究［J］. 振动与冲击， 2019， 38（10）：250-255.
LIU Xiaofeng， YANG Kangjun， BO Lin. Study on Crack Damage Characterization of Composite Materials Based on Lamb Wave Recursive Quantitative Analysis［J］. Journal of Vibration and Shock， 2019， 38（10）：250-255.
［13］SAXENA A， GOEBEL K F， LARROSA C C， et al. Accelerated Aging Experiments for Prognostics of Damage Growth in Composite Materials［C］∥The 8th International Workshop on Structural Health Monitoring. Stanford， 2011：21877996.
［14］LIU X， BO L， YANG K， et al. Locating and Imaging Contact Delamination Based on Chaotic Detection of Nonlinear Lamb Waves［J］. Mechanical Systems and Signal Processing， 2018， 109：58-73.

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