Adaptive-scale damage detection strategy for plate structures based on wavelet finite element model

This study establishes an adaptive-scale damage detection strategy based on a wavelet finite element model (WFEM) for thin plate structures. Equations of motion and corresponding lifting schemes for thin plate structures are derived when the tensor products of cubic Hermite multi-wavelets are taken as the elemental interpolation functions. Sub-element damages are localized with the use of the change ratio of modal strain energy. Subsequently, such damages are adaptively quantified by using a damage quantification equation, which is deduced from differential equations of plate structure motion. WFEM scales are spatially varying and dynamically changing according to actual needs. Numerical examples clearly demonstrate that the proposed strategy can progressively locate and quantify plate damages. The strategy can operate efficiently in terms of the degrees-of-freedom in WFEM and sensors in the vibration test.

[1]  Songye Zhu,et al.  A wavelet finite element-based adaptive-scale damage detection strategy , 2014 .

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

[3]  Qing Wu,et al.  The construction of second generation wavelet-based multivariable finite elements for multiscale analysis of beam problems , 2014 .

[4]  Bing Li,et al.  Review: Wavelet-based numerical analysis: A review and classification , 2014 .

[5]  Saeed Shojaee,et al.  A direct damage detection method using Multiple Damage Localization Index Based on Mode Shapes criterion , 2014 .

[6]  Zhengqi Lu,et al.  Damage identification in plates using finite element model updating in time domain , 2013 .

[7]  Songye Zhu,et al.  ADaptive-scale damage detection for frame structures using beam-type wavelet finite element: Experimental validation , 2013 .

[8]  Songye Zhu,et al.  Progressive damage detection based on multi-scale wavelet finite element model: numerical study , 2013 .

[9]  S. Quraishi,et al.  Multiscale modeling of beam and plates using customized second-generation wavelets , 2013 .

[10]  David Dureisseix,et al.  An efficient linear elastic FEM solver using automatic local grid refinement and accuracy control , 2013 .

[11]  Y. Wang,et al.  Construction of Operator-OrthogonalWavelet-BasedElements for Adaptive Analysis of Thin Plate BendingProblems , 2013 .

[12]  Wei-Xin Ren,et al.  ADAPTIVE TRIGONOMETRIC HERMITE WAVELET FINITE ELEMENT METHOD FOR STRUCTURAL ANALYSIS , 2013 .

[13]  Zhenjun Yang,et al.  Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method , 2012 .

[14]  Pizhong Qiao,et al.  A strain energy-based damage severity correction factor method for damage identification in plate-type structures , 2012 .

[15]  Wei-Xin Ren,et al.  Finite element analysis of beam structures based on trigonometric wavelet , 2012 .

[16]  Wang-Ji Yan,et al.  Damage Detection Method Based on Element Modal Strain Energy Sensitivity , 2010 .

[17]  Alireza Rahai,et al.  Implementation of the modal flexibility variation to fault identification in thin plates , 2010 .

[18]  Zhengjia He,et al.  A study of multiscale wavelet-based elements for adaptive finite element analysis , 2010, Adv. Eng. Softw..

[19]  Victoria Vampa,et al.  Daubechies wavelet beam and plate finite elements , 2009 .

[20]  Huiwen Hu,et al.  Development of scanning damage index for the damage detection of plate structures using modal strain energy method , 2009 .

[21]  Vistasp M. Karbhari,et al.  Improved damage detection method based on Element Modal Strain Damage Index using sparse measurement , 2008 .

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

[23]  Amir Averbuch,et al.  Multiwavelet Frames in Signal Space Originated From Hermite Splines , 2007, IEEE Transactions on Signal Processing.

[24]  Nicholas Haritos,et al.  Damage Identification in Plate-like Structures using Bending Moment Response Power Spectral Density , 2007 .

[25]  Wei-Xin Ren,et al.  A spline wavelet finite‐element method in structural mechanics , 2006 .

[26]  K. Amaratunga,et al.  Multiresolution modeling with operator-customized wavelets derived from finite elements , 2006 .

[27]  S. S. Law,et al.  Damage localization in plate structures from uniform load surface curvature , 2004 .

[28]  Waion Wong,et al.  Sensitivity studies of parameters for damage detection of plate-like structures using static and dynamic approaches , 2002 .

[29]  Usik Lee,et al.  A structural damage identification method for plate structures , 2002 .

[30]  Roland Becker,et al.  Multigrid techniques for finite elements on locally refined meshes , 2000, Numer. Linear Algebra Appl..

[31]  Charles R. Farrar,et al.  Application of the strain energy damage detection method to plate-like structures , 1999 .

[32]  S. Law,et al.  Structural damage localization from modal strain energy change , 1998 .

[33]  Charles R. Farrar,et al.  Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .

[34]  Andrew J. Kurdila,et al.  A class of finite element methods based on orthonormal, compactly supported wavelets , 1995 .

[35]  W. H. Chen,et al.  A spline wavelets element method for frame structures vibration , 1995 .

[36]  G. W. Rankin,et al.  Computational study of flow past a cylinder with combined in-line and transverse oscillation , 1995 .

[37]  Y. Wang,et al.  Construction of Operator-Orthogonal Wavelet-Based Elements for Adaptive Analysis of Thin Plate Bending Problems , 2013 .

[38]  Long Chen.  FINITE ELEMENT METHOD , 2013 .

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