Damage detection of time-varying strutures based on synchrosqueezing wavelet transform#br#
LIU Jing-liang1 REN Wei-xin2 HUANG Wen-Jin1 HUANG Zhi-Wei1 XU Xu-Tang1
1. School of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350002, China；
2. School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China
A new damage detection method of time-varying structures based on synchrosqueezing wavelet transform is proposed in this paper. The wavelet total energy index is first employed to detect damage locations, and then synchrosqueezing wavelet transform is performed on response signals at structural damage locations. As a result, the instantaneous frequencies are extracted and individual component signals are reconstructed. Then, the new time-varying damage index is defined based on the extracted instantaneous frequencies and modal participation factor ratio calculated from reconstructed individual components. A simply supported beam structure with abrupt and linear time-varying damage are simulated to verify the effectiveness of the presented method. The results demonstrate that the defined time-varying damage index can effectively detect damage locations and track structural time-varying damage.
[1] Kopsaftopoulos F P, Fassois S D. A functional model based statistical time series method for vibration based damage detection, localization, and magnitude estimation[J]. Mechanical Systems and Signal Processing, 2013, 39: 143-161.
[2] 闫桂荣，段忠东，欧进萍. 基于结构振动信息的损伤识别研究综述[J]. 地震工程与工程振动，2007，27(3)：95-102.
YAN Gui-rong, DUAN Zhong-dong, OU Jin-ping. Review on structural damage detection based on vibration data[J]. Journal of Earthquake Engineering and Engineering Vibration，2007, 27(3): 95-102.
[3] Kijewski K, Kareem A. Wavelet transforms for system identification in civil engineering [J]. Computer-Aided Civil and Infrastructure Engineering, 2003, 18: 339-355.
[4] Daubechies I, Lu J, Wu H T. Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool[J]. Applied and Computational Harmonic Analysis, 2011, 2(30): 243-261.
[5] Thakur G, Brevdo E, Fučkar N S, Wu H T. The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications[J]. Signal Processing, 2013, 93:1079-1094.
[6] 刘景良，任伟新，王佐才，胡异丁. 基于同步挤压小波变换的结构瞬时频率识别[J]. 振动与冲击，2013，32(18)：37-42.
LIU Jing-liang, REN Wei-xin, WANG Zuo-cai. Instantaneous frequency identification based on synchrosqueezing wavelet transformation[J]. Journal of Vibration and Shock, 2013, 32(18): 37-42.
[7] Soyoz S, Feng M Q. Instantaneous damage detection of bridge structures and experimental verification[J]. Structural Control and Heath Monitoring, 2008, 15: 958-973.
[8] 熊飞，程远胜，刘均. 基于HHT方法的时变多自由度系统的损伤识别[J]. 振动、测试与诊断，2008，28(2)：122-125.
XIONG Fei，CHENG Yuan-sheng，LIU Jun. Damage identification of time varying multi-degrees of freedom systems based on Hilbert-Huang transform[J]. Journal of Vibration, Measurement & Diagnosis, 2008, 28(2): 122-125.
[9] 任宜春，翁璞. 基于改进 Hilbert-Huang 变换的结构损伤识别方法研究[J]. 振动与冲击，2015，34(18)：195-199.
REN Yi-chun，WENG Pu. Structural damage detection based on improved Hilbert-Huang transform[J]. Journal of Vibration and Shock, 2015, 34(18): 195-199.
[10] Darvishan E, Amiri G G, Ghaderi P. A Study on Instantaneous time-frequency methods for damage detection of nonlinear moment-resisting frames[J]. Shock and Vibration, 2014, 1: 1-14.
[11] 刘景良，任伟新，王佐才. 基于同步挤压和时间窗的时变结构损伤识别[J].振动工程学报，2014，27(6)：835-841.
LIU Jing-liang, REN Wei-xin, WANG Zuo-cai. Time-varying structural damage detection based on synchrosqueezing and time window method [J]. Journal of Vibration Engineering, 2014, 27(6)：835-841.
[12] Yen G G, Lin K C. Wavelet packet feature extraction for vibration monitoring [J]. IEEE Transactions on Industrial Electronics, 2000, 47(3): 650-667.
[13] 韩建刚，任伟新，孙增寿. 基于小波包变换的梁体损伤识别[J]. 振动、测试与诊断，2006, 26(1): 5-10.
HAN Jian-gang, REN Wei-xin, SUN Zeng-shou. Damage detection of beams based on wavelet packet analysis[J]. Journal of Vibration, Measurement & Diagnosis, 2006, 26(1): 5-10.
[14] Wang Z C, Ren W X, Liu J L. A Synchrosqueezed Wavelet transform enhanced by extended analytical mode decomposition method for dynamic signal reconstruction[J]. Journal of Sound and Vibration, 2013, 332(22): 6016-6028.
