Wavelet‐Based Detection of Beam Cracks Using Modal Shape and Frequency Measurements

This article describes how cracks may develop and the modal shapes and frequencies of the cracked structure may change accordingly when the structure is subjected to dynamic or static loads. Based on this fact, a new method is proposed to locate beam cracks and to estimate their depths. The fault-induced modal shape and frequency changes of cracked structures are taken into account in order to construct a new hybrid crack detection method. The method includes two steps: crack localization and depth estimation. The locations of the cracks are determined by applying the wavelet transform to the modal shape. Using the measured natural frequencies as inputs, the depths of the cracks are estimated from a database established by wavelet finite element method. The effectiveness of the proposed hybrid two-step method is demonstrated by numerical simulation and experimental investigation of a cantilever beam with two cracks. The analyses presented in this article also indicated that the proposed method performed reasonably well at certain level of noise.

[1]  Biswajit Basu,et al.  A Statistical Measure for Wavelet Based Singularity Detection , 2009 .

[2]  S. K. Maiti,et al.  Detection of multiple cracks using frequency measurements , 2003 .

[3]  Helong Li,et al.  Structural damage detection using the combination method of EMD and wavelet analysis , 2007 .

[4]  Osman Kopmaz,et al.  A new damage detection approach for beam-type structures based on the combination of continuous and discrete wavelet transforms , 2009 .

[5]  H. Li,et al.  Estimation and Warning of Fatigue Damage of FRP Stay Cables Based on Acoustic Emission Techniques and Fractal Theory , 2011, Comput. Aided Civ. Infrastructure Eng..

[6]  Shuncong Zhong,et al.  Identification of Cracks in Beams With Auxiliary Mass Spatial Probing by Stationary Wavelet Transform , 2008 .

[7]  Zhengjia He,et al.  Pipe crack identification based on finite element method of second generation wavelets , 2010 .

[8]  Hojjat Adeli,et al.  A New Approach for Health Monitoring of Structures: Terrestrial Laser Scanning , 2007, Comput. Aided Civ. Infrastructure Eng..

[9]  Zhengjia He,et al.  Rotor crack detection based on high-precision modal parameter identification method and wavelet finite element model , 2009 .

[10]  P. K. Umesha,et al.  Crack Detection and Quantification in Beams Using Wavelets , 2009, Comput. Aided Civ. Infrastructure Eng..

[11]  Paulo J. S. Cruz,et al.  Performance of Vibration‐Based Damage Detection Methods in Bridges , 2009, Comput. Aided Civ. Infrastructure Eng..

[12]  Hojjat Adeli,et al.  Neuro‐genetic algorithm for non‐linear active control of structures , 2008 .

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

[14]  Andrew D. Dimarogonas,et al.  Vibration of cracked structures: A state of the art review , 1996 .

[15]  S. K. Maiti,et al.  Experimental verification of a method of detection of multiple cracks in beams based on frequency measurements , 2005 .

[16]  Hojjat Adeli,et al.  Mixed-Band Wavelet-Chaos-Neural Network Methodology for Epilepsy and Epileptic Seizure Detection , 2007, IEEE Transactions on Biomedical Engineering.

[17]  Hojjat Adeli,et al.  Dynamic fuzzy wavelet neuroemulator for non‐linear control of irregular building structures , 2008 .

[18]  Charles R. Farrar,et al.  The fundamental axioms of structural health monitoring , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[19]  Hojjat Adeli,et al.  WAVELET-HYBRID FEEDBACK-LEAST MEAN SQUARE ALGORITHM FOR ROBUST CONTROL OF STRUCTURES , 2004 .

[20]  Zhishen Wu,et al.  A Model‐free Method for Damage Locating and Quantifying in a Beam‐like Structure Based on Dynamic Distributed Strain Measurements , 2008, Comput. Aided Civ. Infrastructure Eng..

[21]  Chen Xuefeng,et al.  An efficient wavelet finite element method in fault prognosis of incipient crack , 2006 .

[22]  Zhengjia He,et al.  The construction of 1D wavelet finite elements for structural analysis , 2007 .

[23]  Zhishen Wu,et al.  Development of Distributed Long-gage Fiber Optic Sensing System for Structural Health Monitoring , 2007 .

[24]  B. P. Nandwana,et al.  DETECTION OF THE LOCATION AND SIZE OF A CRACK IN STEPPED CANTILEVER BEAMS BASED ON MEASUREMENTS OF NATURAL FREQUENCIES , 1997 .

[25]  Marek Krawczuk,et al.  Damage identification by wavelet analysis , 2008 .

[26]  Bo Chen,et al.  Mobile Agent Computing Paradigm for Building a Flexible Structural Health Monitoring Sensor Network , 2010, Comput. Aided Civ. Infrastructure Eng..

[27]  A. M. R. Ribeiro,et al.  A review of vibration-based structural health monitoring with special emphasis on composite materials , 2006 .

[28]  Farhad Ansari,et al.  Numerical Evaluation of Vibration‐Based Methods for Damage Assessment of Cable‐Stayed Bridges , 2011, Comput. Aided Civ. Infrastructure Eng..

[29]  Hojjat Adeli,et al.  Feature Extraction for Traffic Incident Detection Using Wavelet Transform and Linear Discriminant Analysis , 2000 .

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

[31]  Heung-Fai Lam,et al.  A probabilistic method for the detection of obstructed cracks of beam-type structures using spatial wavelet transform , 2008 .

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

[33]  Hojjat Adeli,et al.  Time‐Frequency Signal Analysis of Earthquake Records Using Mexican Hat Wavelets , 2003 .

[34]  Charles R. Farrar,et al.  Influence of the Autoregressive Model Order on Damage Detection , 2011, Comput. Aided Civ. Infrastructure Eng..

[35]  H. Adeli,et al.  A spatio-temporal wavelet-chaos methodology for EEG-based diagnosis of Alzheimer's disease , 2008, Neuroscience Letters.

[36]  S. K. Maiti,et al.  A study of vibration of geometrically segmented beams with and without crack , 2000 .

[37]  Hojjat Adeli,et al.  Dynamic Wavelet Neural Network for Nonlinear Identification of Highrise Buildings , 2005 .

[38]  Hojjat Adeli,et al.  Wavelet energy spectrum for time‐frequency localization of earthquake energy , 2003, Int. J. Imaging Syst. Technol..

[39]  Zhishen Wu,et al.  Vibration‐Based Damage Localization in Flexural Structures Using Normalized Modal Macrostrain Techniques from Limited Measurements , 2011, Comput. Aided Civ. Infrastructure Eng..

[40]  Matthew J. Whelan,et al.  Wireless Monitoring of a Multispan Bridge Superstructure for Diagnostic Load Testing and System Identification , 2011, Comput. Aided Civ. Infrastructure Eng..

[41]  Zhishen Wu,et al.  Modal Analysis on Macro-strain Measurements from Distributed Long-gage Fiber Optic Sensors: , 2008 .

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

[43]  P. C. Paris,et al.  The Stress Analysis of Cracks Handbook, Third Edition , 2000 .

[44]  Aamir Mahmood,et al.  A Synchronized Wireless Sensor Network for Experimental Modal Analysis in Structural Health Monitoring , 2011, Comput. Aided Civ. Infrastructure Eng..

[45]  Sami F. Masri,et al.  Finite Element Model Updating Using Evolutionary Strategy for Damage Detection , 2011, Comput. Aided Civ. Infrastructure Eng..

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

[47]  S. S. Law,et al.  Wavelet-based crack identification of bridge beam from operational deflection time history , 2006 .

[48]  S. T. Trickey,et al.  A Wavelet-based, Distortion Energy Approach to Structural Health Monitoring , 2005 .

[49]  Hojjat Adeli,et al.  Pseudospectra, MUSIC, and dynamic wavelet neural network for damage detection of highrise buildings , 2007 .

[50]  Hojjat Adeli,et al.  A Wavelet-Chaos Methodology for Analysis of EEGs and EEG Subbands to Detect Seizure and Epilepsy , 2007, IEEE Transactions on Biomedical Engineering.

[51]  Joel P. Conte,et al.  Damage Identification of a Composite Beam Using Finite Element Model Updating , 2008, Comput. Aided Civ. Infrastructure Eng..

[52]  Hojjat Adeli,et al.  Enhancing Neural Network Traffic Incident‐Detection Algorithms Using Wavelets , 2001 .

[53]  Jedol Dayou,et al.  Scaling the Operating Deflection Shapes Obtained from Scanning Laser Doppler Vibrometer , 2011 .

[54]  Hui Li,et al.  Fractal Dimension‐Based Damage Detection Method for Beams with a Uniform Cross‐Section , 2011, Comput. Aided Civ. Infrastructure Eng..

[55]  Sankaran Mahadevan,et al.  Bayesian wavelet packet denoising for structural system identification , 2007 .

[56]  François M. Hemez,et al.  Uncertainty and Sensitivity Analysis of Damage Identification Results Obtained Using Finite Element Model Updating , 2009, Comput. Aided Civ. Infrastructure Eng..

[57]  Wei-Xin Ren,et al.  Structural damage identification by using wavelet entropy , 2008 .

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

[59]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .