Automated model updating of multiple cracked cantilever beams for damage detection

Abstract This paper presents a detailed study on the automated model updating of a cantilever beam with box cross-section including multiple cracks for damage detection. To consider multiple crack effects, a cantilever beam with cracks is considered under six damage scenarios. Finite element models are first constituted in ANSYS software for numerical solution. The results are validated by experimental measurements. For this aim, ambient vibration tests are performed to extract the dynamic characteristics using Enhanced Frequency Domain Decomposition (EFDD) and Stochastic Subspace Identification (SSI) methods. Calculated and measured natural frequencies and corresponding mode shapes for undamaged and damaged beams are compared. For damage detection, automated Model Update is carried out using the modal sensitivity method based on the Bayesian parameter estimation to minimize the difference between the calculated and measured results. Modal Assurance Criterion (MAC) and Coordinate Modal Assurance Criterion (COMAC) factors that show the correlation between the measured and calculated mode shapes are also employed to identify and locate damaged elements within the beam.

[1]  Pierluigi Colombi,et al.  Experimental study on the fatigue behaviour of cracked steel beams repaired with CFRP plates , 2015 .

[2]  D. J. Ewins,et al.  Modal Testing: Theory and Practice , 1984 .

[3]  Alessandro Palmeri,et al.  An efficient two-node finite element formulation of multi-damaged beams including shear deformation and rotatory inertia , 2015 .

[4]  Wei-Xin Ren,et al.  EMD-based stochastic subspace identification of structures from operational vibration measurements , 2005 .

[5]  Timothy M. Whalen,et al.  The behavior of higher order mode shape derivatives in damaged, beam-like structures , 2008 .

[6]  Arnaud Deraemaeker,et al.  Automated data-based damage localization under ambient vibration using local modal filters and dynamic strain measurements: experimental applications , 2014 .

[7]  Neda Baghiee,et al.  Studies on damage and FRP strengthening of reinforced concrete beams by vibration monitoring , 2009 .

[8]  Mehmet Kurt,et al.  Experimental system identification of the dynamics of a vibro-impact beam with a view towards structural health monitoring and damage detection , 2014 .

[9]  N. Khaji,et al.  Analytical solutions for free and forced vibrations of a multiple cracked Timoshenko beam subject to a concentrated moving load , 2011 .

[10]  S. P. Lele,et al.  Modelling of Transverse Vibration of Short Beams for Crack Detection and Measurement of Crack Extension , 2002 .

[11]  J. Bendat,et al.  Random Data: Analysis and Measurement Procedures , 1971 .

[12]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[13]  S. Chinchalkar.  DETERMINATION OF CRACK LOCATION IN BEAMS USING NATURAL FREQUENCIES , 2001 .

[14]  Andreas Johann Felber,et al.  Development of a hybrid bridge evaluation system , 1994 .

[15]  Jianting Zhou,et al.  Mode-specific damage identification method for reinforced concrete beams: Concept, theory and experiments , 2016 .

[16]  Bart Peeters,et al.  System identification and damage detection in civil engineering , 2000 .

[17]  Arnaud Castel,et al.  Finite-Element Modeling to Calculate the Overall Stiffness of Cracked Reinforced Concrete Beams , 2012 .

[18]  David Andrew Brighton.  Finite Element Analysis of an Intentionally Damaged Prestressed Reinforced Concrete Beam Repaired with Carbon Fiber Reinforced Polymers , 2011 .

[19]  B. Peeters,et al.  Reference based stochastic subspace identification in civil engineering , 1999 .

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

[21]  Rune Brincker,et al.  Using Enhanced Frequency Domain Decomposition as a Robust Technique to Harmonic Excitation in Operational Modal Analysis , 2006 .

[22]  J. Juang.  Applied system identification , 1994 .

[23]  Tong Zhao,et al.  Experimental and Analytical Modal Analysis of Steel Arch Bridge , 2004 .

[24]  Hai-Ping Lin,et al.  Direct and inverse methods on free vibration analysis of simply supported beams with a crack , 2004 .