An iterated IRS technique for cross-sectional damage modelling and identification in beams using limited sensors measurement

ABSTRACTThis paper presents an effective method for cross-sectional damage localization and quantification in beams. First, a new strategy is suggested for cross-sectional damage modelling by means of Iterated Improved Reduction System (IIRS) approach. Then, a novel damage localization index is proposed employing Grey System Theory (GST) as a geometrical criterion for quantifying the amount of correlation between vectors of the calculated curvatures for the diagonal members of the flexibility matrices in the damaged and undamaged states. Since the method employs only the modal data of the translational degrees of freedom, it can be interpreted as damage identification method by utilizing incomplete modal data or installing a limited number of sensors. After detecting the damage location, to estimate the exact parameters of the cross-sectional damage, the problem is defined as a finite element model-updating problem which is solved with a new evolutionary optimization approach named Imperialist Competitive...

[1]  Min Zhang,et al.  Numerical and experimental investigation of modal-energy-based damage localization for offshore wind turbine structures , 2018 .

[2]  Trung Nguyen-Thoi,et al.  An efficient multi-stage optimization approach for damage detection in plate structures , 2017, Adv. Eng. Softw..

[3]  Lin Li,et al.  Damage detection method for shear buildings using the changes in the first mode shape slopes , 2011 .

[4]  Ibrahim Eksin,et al.  A new optimization method: Big Bang-Big Crunch , 2006, Adv. Eng. Softw..

[5]  Jian Zhang,et al.  A new flexibility-based damage index for structural damage detection , 2013 .

[6]  R. Guyan.  Reduction of stiffness and mass matrices , 1965 .

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

[8]  Jaehong Lee,et al.  Damage detection of truss structures using two-stage optimization based on micro genetic algorithm , 2014 .

[9]  Guido De Roeck,et al.  REFERENCE-BASED STOCHASTIC SUBSPACE IDENTIFICATION FOR OUTPUT-ONLY MODAL ANALYSIS , 1999 .

[10]  Ali Zare Hosseinzadeh,et al.  Multiple crack identification in Euler beams by means of B-spline wavelet , 2015 .

[11]  Xiao-zhen Chen,et al.  Structural damage identification using test static data based on grey system theory , 2005 .

[12]  Hong Hao,et al.  Statistical damage identification of structures with frequency changes , 2003 .

[13]  Sundaram Suresh,et al.  Identification of crack location and depth in a cantilever beam using a modular neural network approach , 2004 .

[14]  Ki-Young Koo,et al.  Damage detection of shear buildings using deflections obtained by modal flexibility , 2010 .

[15]  M. Friswell,et al.  THE CONVERGENCE OF THE ITERATED IRS METHOD , 1998 .

[16]  Zhongrong Lu,et al.  Structural damage detection using improved particle swarm optimization , 2018 .

[17]  Abdollah Bagheri,et al.  Damage prognosis by means of modal residual force and static deflections obtained by modal flexibility based on the diagonalization method , 2013 .

[18]  M. Friswell,et al.  Model reduction using dynamic and iterated IRS techniques , 1995 .

[19]  Ling Yu,et al.  A new structural damage detection strategy of hybrid PSO with Monte Carlo simulations and experimental verifications , 2018, Measurement.

[20]  Hyung-Jo Jung,et al.  Modal flexibility-based damage detection of cantilever beam-type structures using baseline modification , 2014 .

[21]  Abdollah Bagheri,et al.  Ultrasonic imaging algorithm for the health monitoring of pipes , 2017 .

[22]  Hyo-Gyoung Kwak,et al.  Structural damage evaluation using genetic algorithm , 2011 .

[23]  Robert Michael Lewis,et al.  A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds , 2002, SIAM J. Optim..

[24]  Ali Zare Hosseinzadeh,et al.  Model-based identification of damage from sparse sensor measurements using Neumann series expansion , 2017 .

[25]  Q. W. Yang,et al.  Structural damage identification based on residual force vector , 2007 .

[26]  Hui Yong Guo,et al.  Structural Multi-Damage Identification Based on Modal Strain Energy Equivalence Index Method , 2014 .

[27]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[28]  Ki-Young Koo,et al.  Optimization-based method for structural damage localization and quantification by means of static displacements computed by flexibility matrix , 2016 .

[29]  C. Fu,et al.  Application of grey relational analysis for corrosion failure of oil tubes , 2001 .

[30]  Abdollah Bagheri,et al.  Vibration-based damage identification of plate structures via curvelet transform , 2009 .

[31]  Mohamed Abdel-Basset Abdo,et al.  Parametric study of using only static response in structural damage detection , 2012 .

[32]  José Elias Laier,et al.  A hybrid Particle Swarm Optimization - Simplex algorithm (PSOS) for structural damage identification , 2009, Adv. Eng. Softw..