A combination of wavelet packet energy curvature difference and Richardson extrapolation for structural damage detection

Abstract Marine structures are exposed to various destructive factors during their serviceability. Therefore, timely damage detection and repair of these structures at early stages can increase their service life and prevent economic and human losses as much as possible. In this study, a method is presented to identify the location of multiple damages in the piles of a dolphin pier. In the first step of the proposed method, based on a combination of the Wavelet Packet Energy Curvature Difference (WPECD) and the Richardson extrapolation, a damage index is introduced to accurately find the damage zone/damaged piles in the dolphin wharf. The energy curvature difference of the wavelet packet was obtained based on the vibrating signals of the structure. Using an image processing technique, in the second step of the method, the locations of damage were extracted via the WPECD method. The efficiency and capability of the proposed method was confirmed by numerical and experimental results. The exact geometry of the damages in the experimental model was initially scanned by a three-dimensional scanning device. Then, the scanned images were processed and imported into the numerical model as an input file. Finally, the results showed that the proposed method could discover multiple structural damages with acceptable accuracy.

[1]  E. Peter Carden,et al.  Vibration Based Condition Monitoring: A Review , 2004 .

[2]  Maosen Cao,et al.  Wavelet Packet Singular Entropy-Based Method for Damage Identification in Curved Continuous Girder Bridges under Seismic Excitations , 2019, Sensors.

[3]  Sven Thelandersson,et al.  Vibration-based structural damage identification using wavelet transform , 2008 .

[4]  Ronald R. Coifman,et al.  Entropy-based algorithms for best basis selection , 1992, IEEE Trans. Inf. Theory.

[5]  Qinghe Shi,et al.  Damage Identification in Structures Based on Energy Curvature Difference of Wavelet Packet Transform , 2018, Shock and Vibration.

[6]  Shirley J. Dyke,et al.  Structural health monitoring for flexible bridge structures using correlation and sensitivity of modal data , 2007 .

[7]  Zhengliang Li,et al.  A two-stage method to identify structural damage sites and extents by using evidence theory and micro-search genetic algorithm , 2009 .

[8]  W. Rakowski.  Wavelet Approach to Damage Detection of Mechanical Systems and Structures , 2017 .

[9]  Mark M. Derriso,et al.  Structural health monitoring using wavelet transforms , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[10]  Chin-Hsiung Loh,et al.  Damage detection of structures by wavelet analysis: application to seismic response of steel frames , 2017, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[11]  Behrouz Asgarian,et al.  Damage detection of jacket type offshore platforms using rate of signal energy using wavelet packet transform , 2016 .

[12]  Sandor M. Veres,et al.  Damage detection in a sandwich composite beam using wavelet transforms , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[13]  Zheng Li,et al.  Crack detection of fiber reinforced beams based on Gabor wavelet transform , 2009, International Conference on Experimental Mechanics.

[14]  Gary G. Yen,et al.  Wavelet packet feature extraction for vibration monitoring , 2000, IEEE Trans. Ind. Electron..

[15]  Chih-Chen Chang,et al.  Vibration based structural health monitoring: Wavelet packet transform based solution , 2007 .

[16]  Guido De Roeck,et al.  STRUCTURAL DAMAGE IDENTIFICATION USING MODAL DATA. I: SIMULATION VERIFICATION , 2002 .

[17]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[18]  Mir Mohammad Ettefagh,et al.  Damage detection in beam-like structure based on wavelet packet , 2011 .

[19]  Chih-Chen Chang,et al.  Statistical Wavelet-Based Method for Structural Health Monitoring , 2004 .

[20]  Gongkang Fu,et al.  Wavelet transformation of mode shape difference function for structural damage location identification , 2007 .

[21]  Wei-Xin Ren,et al.  Wavelet packet based damage identification of beam structures , 2005 .

[22]  Cao Yuan,et al.  Wavelet Transform and Its Application in Earthquake Engineering , 2014, 2014 Fifth International Conference on Intelligent Systems Design and Engineering Applications.

[23]  Hong Hao,et al.  Damage identification of shear connectors with wavelet packet energy: Laboratory test study , 2008 .

[24]  Anne S. Kiremidjian,et al.  Sequential damage detection based on the continuous wavelet transform , 2015, Smart Structures.

[25]  E. J. Williams,et al.  STRUCTURAL DAMAGE DETECTION BY A SENSITIVITY AND STATISTICAL-BASED METHOD , 1998 .

[26]  Zubaidah Ismail,et al.  An Improved Method of Parameter Identification and Damage Detection in Beam Structures under Flexural Vibration Using Wavelet Multi-Resolution Analysis , 2015, Sensors.

[27]  Mehrisadat Makki Alamdari,et al.  Damage identification using 2-D discrete wavelet transform on extended operational mode shapes , 2015 .

[28]  Huiyong Guo,et al.  Structural Damage Localization of Steel Arch Bridge Based on Wavelet Packet Transform , 2012 .

[29]  Xinqun Zhu,et al.  Structural damage detection from wavelet packet sensitivity , 2005 .

[30]  Jaan Kiusalaas,et al.  Numerical Methods in Engineering with MATLAB®: Index , 2005 .

[31]  Ajay Chourasia,et al.  Damage Identification of RC Structures Using Wavelet Transformation , 2016 .

[32]  Daniel J. Inman,et al.  An experimentally validated damage detection theory in smart structures , 1996 .

[33]  Hani G. Melhem,et al.  Damage detection of structures by wavelet analysis , 2004 .

[34]  P. Gudmundson.  Eigenfrequency changes of structures due to cracks, notches or other geometrical changes , 1982 .