A hybrid multiple damages detection method for plate structures

A hybrid method is proposed to properly identify multiple damages for plate structures in this work. In the stage of damage localization, singular value decomposition (SVD) is applied to reveal singularities in modal shapes, and hence to detect the damage locations. In the stage of damage quantification, based on the detected location information ant colony optimization (ACO) algorithm is introduced to estimate damage severity by searching for damage evaluation database, which reveals the relationship between the natural frequencies and the damage severity. The modal shapes and the natural frequencies required in damage localization and quantification are obtained via the wavelet finite element method. The numerical simulation and experimental investigation are carried out to test the performance of the hybrid method for free aluminum plates with multiple damages. And the results indicate that the proposed method is effective to identify multiple damages of plate structures with reasonable precision.

[1]  Lien-Wen Chen,et al.  Damage detection of a rectangular plate by spatial wavelet based approach , 2004 .

[2]  Zhengjia He,et al.  Free vibration and buckling analysis of plates using B-spline wavelet on the interval Mindlin element , 2013 .

[3]  Pizhong Qiao,et al.  On the wavelet–fractal nonlinear damage diagnosis of mechanical systems , 2009 .

[4]  Chen Xuefeng,et al.  A new wavelet-based thin plate element using B-spline wavelet on the interval , 2007 .

[5]  Wieslaw Ostachowicz,et al.  Scale-wavenumber domain filtering method for curvature modal damage detection , 2016 .

[6]  Huihui Miao,et al.  Wave motion analysis and modeling of membrane structures using the wavelet finite element method , 2016 .

[7]  R. Bai,et al.  Fractal dimension analysis of higher-order mode shapes for damage identification of beam structures , 2012 .

[8]  Zhibo Yang,et al.  Analysis of laminated composite plates using wavelet finite element method and higher-order plate theory , 2015 .

[9]  Pizhong Qiao,et al.  Nondestructive Assessment of Reinforced Concrete Structures Based on Fractal Damage Characteristic Factors , 2006 .

[10]  G. Theraulaz,et al.  Inspiration for optimization from social insect behaviour , 2000, Nature.

[11]  Chih-Chieh Chang,et al.  Vibration damage detection of a Timoshenko beam by spatial wavelet based approach , 2003 .

[12]  Wieslaw Ostachowicz,et al.  Two-dimensional modal curvature estimation via Fourier spectral method for damage detection , 2016 .

[13]  Pizhong Qiao,et al.  Vibration-based Damage Identification Methods: A Review and Comparative Study , 2011 .

[14]  Gianluigi Ferrari,et al.  Wireless Sensor Networks for Structural Health Monitoring , 2015, Int. J. Distributed Sens. Networks.

[15]  Marco Dorigo,et al.  Distributed Optimization by Ant Colonies , 1992 .

[16]  S. Loutridis,et al.  Crack identification in double-cracked beams using wavelet analysis , 2004 .

[17]  Haifeng Gao,et al.  A new method to detect cracks in plate-like structures with though-thickness cracks , 2014 .

[18]  Jong-Myon Kim,et al.  Singular value decomposition based feature extraction approaches for classifying faults of induction motors , 2013 .

[19]  Gene H. Golub,et al.  Singular value decomposition and least squares solutions , 1970, Milestones in Matrix Computation.

[20]  Zhengjia He,et al.  Wave motion analysis in arch structures via wavelet finite element method , 2014 .

[21]  Hyung-Jo Jung,et al.  Vibration-based structural health monitoring using adaptive statistical method under varying environmental condition , 2014, Smart Structures.

[22]  J. S. Sirkis,et al.  Damage Detection in Beam Structures Using Subspace Rotation Algorithm with Strain Data , 1996 .

[23]  W. Ostachowicz,et al.  Fourier spectral-based modal curvature analysis and its application to damage detection in beams , 2017 .

[24]  Leontios J. Hadjileontiadis,et al.  A two-dimensional wavelet transform for detection of cracks in plates , 2005 .

[25]  Robert D. Adams,et al.  A Vibration Technique for Non-Destructively Assessing the Integrity of Structures: , 1978 .

[26]  Chuanshuang Hu,et al.  A statistical algorithm for comparing mode shapes of vibration testing before and after damage in timbers , 2006, Journal of Wood Science.

[27]  Evangelia Douka,et al.  Crack identification in plates using wavelet analysis , 2004 .

[28]  Damodar Maity,et al.  Damage assessment of structures from changes in natural frequencies using genetic algorithm , 2005 .

[29]  Xuezhi Zhao,et al.  Singular value decomposition packet and its application to extraction of weak fault feature , 2016 .

[30]  S. Loutridis,et al.  CRACK IDENTIFICATION IN BEAMS USING WAVELET ANALYSIS , 2003 .

[31]  Xiaomin Deng,et al.  Damage detection with spatial wavelets , 1999 .

[32]  Zhengjia He,et al.  A damage identification approach for plate structures based on frequency measurements , 2013 .

[33]  Zhengjia He,et al.  Multiple damages detection in beam based approximate waveform capacity dimension , 2012 .

[34]  Shuncong Zhong,et al.  Response-only method for damage detection of beam-like structures using high accuracy frequencies with auxiliary mass spatial probing , 2008 .

[35]  Xingwu Zhang,et al.  The hybrid multivariate analysis method for damage detection , 2016 .

[36]  Huihui Miao,et al.  Hybrid two‐step method of damage detection for plate‐like structures , 2016 .