Structural Damage Detection Using Slopes of Longitudinal Vibration Shapes

While structural damage detection based on flexural vibration shapes, such as mode shapes and steady-state response shapes under harmonic excitation, has been well developed, little attention is paid to that based on longitudinal vibration shapes that also contain damage information. This study originally formulates a slope vibration shape for damage detection in bars using longitudinal vibration shapes. To enhance noise robustness of the method, a slope vibration shape is transformed to a multiscale slope vibration shape in a multiscale domain using wavelet transform, which has explicit physical implication, high damage sensitivity, and noise robustness. These advantages are demonstrated in numerical cases of damaged bars, and results show that multiscale slope vibration shapes can be used for identifying and locating damage in a noisy environment. A three-dimensional (3D) scanning laser vibrometer is used to measure the longitudinal steady-state response shape of an aluminum bar with damage due to reduced cross-sectional dimensions under harmonic excitation, and results show that the method can successfully identify and locate the damage. Slopes of longitudinal vibration shapes are shown to be suitable for damage detection in bars and have potential for applications in noisy environments.

[1]  Krzysztof Wilde,et al.  Application of continuous wavelet transform in vibration based damage detection method for beams and plates , 2006 .

[2]  Edward Sazonov,et al.  Optimal spatial sampling interval for damage detection by curvature or strain energy mode shapes , 2005 .

[3]  Mohammad Ali Lotfollahi-Yaghin,et al.  Examining the function of wavelet packet transform (WPT) and continues wavelet transform (CWT) in recognizing the crack specification , 2011 .

[4]  Wei Xu,et al.  Identification of multiple damage in beams based on robust curvature mode shapes , 2014 .

[5]  Fu-Kuo Chang,et al.  Structural Health Monitoring: Current Status and Perspectives , 1998 .

[6]  Douglas E. Adams,et al.  Damage Localization in Composite Structures Using Nonlinear Vibration Response Properties , 2015 .

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

[8]  Ho-Yeon Jung,et al.  Damage detection for beam-like structures using the normalized curvature of a uniform load surface , 2013 .

[9]  S. Hanagud,et al.  Curvature Mode Shape-based Damage Assessment of Carbon/Epoxy Composite Beams , 2007 .

[10]  Yimin Shao,et al.  Identification of embedded horizontal cracks in beams using measured mode shapes , 2014 .

[11]  Xin Jiang,et al.  Crack Detection from the Slope of the Mode Shape Using Complex Continuous Wavelet Transform , 2012, Comput. Aided Civ. Infrastructure Eng..

[12]  Z. Su,et al.  Damage visualization based on local dynamic perturbation: Theory and application to characterization of multi-damage in a plane structure , 2013 .

[13]  Maosen Cao,et al.  Crack detection in beams in noisy conditions using scale fractal dimension analysis of mode shapes , 2014 .

[14]  Keith Worden,et al.  An introduction to structural health monitoring , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  Ranjan Ganguli,et al.  Modeling Multi-Layer Matrix Cracking in Thin Walled Composite Rotor Blades , 2005 .

[16]  Hao Xu,et al.  Suppressing Influence of Measurement Noise on Vibration-Based Damage Detection Involving Higher-Order Derivatives , 2013 .

[17]  Pizhong Qiao,et al.  Integrated wavelet transform and its application to vibration mode shapes for the damage detection of beam-type structures , 2008, Smart Materials and Structures.

[18]  G. De Roeck,et al.  Damage detection in bridges using modal curvatures: application to a real damage scenario , 1999 .

[19]  R. Bai,et al.  Fractal mechanism for characterizing singularity of mode shape for damage detection , 2013 .

[20]  Pizhong Qiao,et al.  Structural Damage Detection Using Local Damage Factor , 2006 .

[21]  W. D. Zhu,et al.  Detection of Damage in Space Frame Structures With L-Shaped Beams and Bolted Joints Using Changes in Natural Frequencies , 2013 .

[22]  Li Cheng,et al.  Reconstructing interfacial force distribution for identification of multi-debonding in steel-reinforced concrete structures using noncontact laser vibrometry , 2013 .

[23]  M. Chandrashekhar,et al.  Damage assessment of structures with uncertainty by using mode-shape curvatures and fuzzy logic , 2009 .

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

[25]  M. Cao,et al.  Damage identification for beams in noisy conditions based on Teager energy operator-wavelet transform modal curvature , 2014 .

[26]  Weidong Zhu,et al.  Experimental and Numerical Investigation of Structural Damage Detection Using Changes in Natural Frequencies , 2007 .

[27]  Weidong Zhu,et al.  Detecting Loosening of Bolted Connections in a Pipeline Using Changes in Natural Frequencies , 2014 .

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

[29]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[30]  Jinping Ou,et al.  Experimental and numerical studies on damage localization of simply supported beams based on curvature difference probability method of waveform fractal dimension , 2012 .

[31]  G. Lang,et al.  Understanding the physics of electrodynamic shaker performance , 2001 .

[32]  Arun Kumar Pandey,et al.  Damage detection from changes in curvature mode shapes , 1991 .

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

[34]  Eun-Taik Lee,et al.  Damage Detection of Steel Beam Using Frequency Response Function Measurement Data and Fractal Dimension , 2015 .

[35]  Wei Xu,et al.  Damage detection in plates using two-dimensional directional Gaussian wavelets and laser scanned operating deflection shapes , 2013 .

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

[37]  P. Qiao,et al.  Dynamics-based Damage Detection of Composite Laminated Beams using Contact and Noncontact Measurement Systems , 2007 .

[38]  C. Ratcliffe.  A Frequency and Curvature Based Experimental Method for Locating Damage in Structures , 2000 .

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

[40]  Yonghui An,et al.  Experimental and numerical studies on model updating method of damage severity identification utilizing four cost functions , 2013 .

[41]  M. Cao,et al.  Novel Laplacian scheme and multiresolution modal curvatures for structural damage identification , 2009 .

[42]  Pizhong Qiao,et al.  Waveform fractal dimension for mode shape-based damage identification of beam-type structures , 2008 .

[43]  K. M. Liew,et al.  Application of Wavelet Theory for Crack Identification in Structures , 1998 .

[44]  Ranjan Ganguli,et al.  Spatial Fourier Analysis of a Free-Free Beam for Structural Damage Detection , 2014 .

[45]  Hoon Sohn,et al.  Laser ultrasonic imaging and damage detection for a rotating structure , 2013 .

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

[47]  Wei Xu,et al.  Multiscale shear-strain gradient for detecting delamination in composite laminates , 2013 .

[48]  Maosen Cao,et al.  A multi-scale pseudo-force model in wavelet domain for identification of damage in structural components , 2012 .

[49]  Maosen Cao,et al.  A multi-scale pseudo-force model for characterization of damage in beam components with unknown material and structural parameters , 2013 .

[50]  Weidong Zhu,et al.  On an iterative general-order perturbation method for multiple structural damage detection , 2004 .