Quasi-optical coherence vibration tomography technique for damage detection in beam-like structures based on auxiliary mass induced frequency shift

Abstract A novel quasi-optical coherence vibration tomography (Quasi-OCVT) measurement system suitable for structural damage detection is proposed by taking the concept of two-dimensional optical coherence vibration tomography (2D-OCVT) technique. An artificial quasi-interferogram fringe pattern (QIFP) similar to the interferogram of 2D-OCVT system, as a sensor, was pasted on the surface of a vibrating structure. Image sequences of QIFP were captured by a high-speed camera that worked as a detector. The period density of the imaged QIFP changed due to the structural vibration, from which the vibration information of the structure could be obtained. Noise influence on the measurement accuracy, torsional sensitivity and optical distortion effect of the Quasi-OCVT system were investigated. The efficiency and reliability of the proposed method were demonstrated by applying the system to damage detection of a cracked beam-like structure with a roving auxiliary mass. The roving of the mass along the cracked beam brings about the change of natural frequencies that could be obtained by the Quasi-OCVT technique. Therefore, frequency-shift curves can be achieved and these curves provide additional spatial information for structural damage detection. Same cases were also analyzed by the finite element method (FEM) and conventional accelerometer-based measurement method. Comparisons were carried out among these results. Results obtained by the proposed Quasi-OCVT method had a good agreement with the ones obtained by FEM, from which the damage could be directly detected. However, the results obtained by conventional accelerometer showed misleading ambiguous peaks at damage position owing to the mass effect on the structure, where the damage location cannot be identified confidently without further confirmation. The good performance of the cost-effective Quasi-OCVT method makes it attractive for vibration measurement and damage detection of beam-like structures.

[1]  Shuncong Zhong,et al.  Enhanced optical coherence vibration tomography for subnanoscale-displacement-resolution calibration of piezoelectric actuators , 2015 .

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

[3]  Nikos A. Aspragathos,et al.  Identification of crack location and magnitude in a cantilever beam from the vibration modes , 1990 .

[4]  Seng Tjhen Lie,et al.  Damage detection in plates structures based on frequency shift surface curvature , 2013 .

[5]  C. Navarro,et al.  APPROXIMATE CALCULATION OF THE FUNDAMENTAL FREQUENCY FOR BENDING VIBRATIONS OF CRACKED BEAMS , 1999 .

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

[7]  Leontios J. Hadjileontiadis,et al.  Crack detection in beams using kurtosis , 2005 .

[8]  T. Chondros,et al.  Vibration of a Cracked Cantilever Beam , 1998 .

[9]  Shuncong Zhong,et al.  Two-dimensional optical coherence vibration tomography for low-frequency vibration measurement and response-only modal analysis , 2016 .

[10]  Jyoti K. Sinha,et al.  SIMPLIFIED MODELS FOR THE LOCATION OF CRACKS IN BEAM STRUCTURES USING MEASURED VIBRATION DATA , 2002 .

[11]  Lishan Liu,et al.  Higher-Order Dynamic Delay Differential Equations on Time Scales , 2012, J. Appl. Math..

[12]  Seng Tjhen Lie,et al.  Damage detection using frequency shift path , 2016 .

[13]  Maria Q. Feng,et al.  Nontarget Vision Sensor for Remote Measurement of Bridge Dynamic Response , 2015 .

[14]  Shun-Chang Chang,et al.  Forced responses of cracked cantilever beams subjected to a concentrated moving load , 2006 .

[15]  Janko Slavič,et al.  The subpixel resolution of optical-flow-based modal analysis , 2017 .

[16]  Yaochun Shen,et al.  Real-time monitoring of structural vibration using spectral-domain optical coherence tomography , 2011 .

[17]  D. Swanson,et al.  Higher-frequency wavenumber shift and frequency shift in a cracked, vibrating beam , 2008 .

[18]  S G Creed.  STRUCTURAL ASSESSMENT. THE USE OF FULL AND LARGE SCALE TESTING. ASSESSMENT OF LARGE ENGINEERING STRUCTURES USING DATA COLLECTED DURING IN-SERVICE LOADING , 1987 .

[19]  M. Younis,et al.  Frequency Shifts of Micro and Nano Cantilever Beam Resonators Due to Added Masses , 2016 .

[20]  Emanuele Zappa,et al.  Vibration Monitoring of Multiple Bridge Points by Means of a Unique Vision-Based Measuring System , 2014 .

[21]  Shuncong Zhong,et al.  Detection of cracks in simply-supported beams by continuous wavelet transform of reconstructed modal data , 2011 .

[22]  Yu Chen,et al.  On the Vibration of Beams or Rods Carrying a Concentrated Mass , 1963 .

[23]  F.M.F. Simões,et al.  Vibrations of cracked beams , 2016 .

[24]  Rui Calçada,et al.  Non-contact measurement of the dynamic displacement of railway bridges using an advanced video-based system , 2014 .

[25]  Lin-Tsang Lee,et al.  Modified and Simplified Sectional Flexibility of a Cracked Beam , 2012, J. Appl. Math..

[26]  Jinhee Lee.  IDENTIFICATION OF MULTIPLE CRACKS IN A BEAM USING NATURAL FREQUENCIES , 2009 .

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

[28]  A. S. J. Swamidas,et al.  Crack identification in vibrating beams using the energy method , 2001 .

[29]  Andrew D. Dimarogonas,et al.  A CONTINUOUS CRACKED BEAM VIBRATION THEORY , 1998 .

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

[31]  Shuncong Zhong,et al.  Analytical predictions of natural frequencies of cracked simply supported beams with a stationary roving mass , 2008 .

[32]  Vishal Vyas,et al.  Crack Detection in Cantilever Beam by Frequency based Method , 2013 .

[33]  Shuncong Zhong,et al.  Two-dimensional optical coherence tomography for real-time structural dynamical characterization , 2015 .

[34]  D. Kang,et al.  PHASE DIFFERENCE CORRECTION METHOD FOR PHASE AND FREQUENCY IN SPECTRAL ANALYSIS , 2000 .

[35]  Faizal Mustapha,et al.  A review on the vibration analysis for a damage occurrence of a cantilever beam , 2013 .

[36]  K. V. Nguyen.  Crack detection of a double-beam carrying a concentrated mass , 2016 .

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

[38]  Z. H. Xiang,et al.  Frequency Shift Curve Based Damage Detection Method for Beam Structures , 2011 .

[39]  O. S. Salawu.  Detection of structural damage through changes in frequency: a review , 1997 .

[40]  Daniele Dessi,et al.  Damage identification techniques via modal curvature analysis: Overview and comparison , 2015 .

[41]  Robert Y. Liang,et al.  Fault identification of beams on elastic foundation , 1995 .