Structural health monitoring using modal strain energy damage indicator coupled with teaching-learning-based optimization algorithm and isogoemetric analysis

Abstract This paper proposes a two-stage approach for damage assessment in beam-like structures using two-dimensional Isogeometric Analysis (IGA) and Finite Element Method (FEM) combined with optimization techniques. In the first stage, the Local Frequencies Change Ratio (LFCR) indicator and a newly developed damage indicator based on normalized Modal Strain Energy Indicator (nMSEDI) are introduced to locate effectively the potential damaged elements. In order to verify nMSEDI, different scenarios based on single and multiple damages are studied using numerical experiments. In the second stage, the Teaching-Learning-Based Optimization Algorithm (TLBO) is utilized and its performance is compared with that of Particle Swarm Optimization (PSO) and Bat Algorithm (BA). The three optimizations techniques are combined with IGA using nMSEDI as objective function. In addition, experimental vibration tests using laboratory steel been are conducted to validate the proposed technique. The obtained results clearly indicate that the proposed approach can be used to determine accurately and efficiently both damage location and severity in beam-like structures.

[1]  Hung Nguyen-Xuan,et al.  Isogeometric Analysis of Laminated Composite Plates Using the Higher-Order Shear Deformation Theory , 2015 .

[2]  António J.M. Ferreira MATLAB Codes for Finite Element Analysis: Solids and Structures , 2008 .

[3]  Ali Kaveh,et al.  Damage detection based on MCSS and PSO using modal data , 2015 .

[4]  Timon Rabczuk,et al.  Detection of material interfaces using a regularized level set method in piezoelectric structures , 2016 .

[5]  Quan Wang,et al.  Experimental studies on damage detection of beam structures with wavelet transform , 2011 .

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

[7]  Mia Loccufier,et al.  Crack identification method in beam-like structures using changes in experimentally measured frequencies and Particle Swarm Optimization , 2018 .

[8]  Svetozar Margenov,et al.  Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams , 2014, NMA.

[9]  Ali Kaveh,et al.  DAMAGE ASSESSMENT VIA MODAL DATA WITH A MIXED PARTICLE SWARM STRATEGY, RAY OPTIMIZER, AND HARMONY SEARCH , 2014 .

[10]  Bernd Simeon,et al.  Isogeometric analysis of nonlinear Euler–Bernoulli beam vibrations , 2013 .

[11]  Ranjan Ganguli,et al.  Damage Detection in Beams using Spatial Fourier Analysis and Neural Networks , 2007 .

[12]  Alessandro Reali,et al.  Isogeometric Analysis of Structural Vibrations , 2006 .

[13]  A. Kaveh,et al.  An improved CSS for damage detection of truss structures using changes in natural frequencies and mode shapes , 2015, Adv. Eng. Softw..

[14]  T. Q. Bui Extended isogeometric dynamic and static fracture analysis for cracks in piezoelectric materials using NURBS , 2015 .

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

[16]  Yun-Lai Zhou,et al.  Model Updating in Complex Bridge Structures using Kriging Model Ensemble with Genetic Algorithm , 2018 .

[17]  Magd Abdel Wahab,et al.  A damage identification technique for beam-like and truss structures based on FRF and Bat Algorithm , 2018, Comptes Rendus Mécanique.

[18]  Kyoung Sub Park,et al.  Vibrations of Timoshenko beams with isogeometric approach , 2013 .

[19]  Magd Abdel Wahab,et al.  Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithm , 2018 .

[20]  Vinh Phu Nguyen,et al.  Isogeometric analysis: An overview and computer implementation aspects , 2012, Math. Comput. Simul..

[21]  N. Stubbs,et al.  Damage evaluation of Timoshenko beams using invariant stress resultants , 2013 .

[22]  Norris Stubbs,et al.  Crack detection in beam-type structures using frequency data , 2003 .

[23]  Noureddine Benseddiq,et al.  On the classification of normalized natural frequencies for damage detection in cantilever beam , 2017 .

[24]  Chuanshuang Hu,et al.  A statistical algorithm for comparing mode shapes of vibration testing before and after damage in timbers , 2006, Journal of Wood Science.

[25]  Ali Kaveh,et al.  Damage detection in skeletal structures based on charged system search optimization using incomplete modal data , 2014 .

[26]  Timon Rabczuk,et al.  Assessment of computational fracture models using Bayesian method , 2019, Engineering Fracture Mechanics.

[27]  Magd Abdel Wahab,et al.  A robust damage detection method based on multi-modal analysis in variable temperature conditions , 2019, Mechanical Systems and Signal Processing.

[28]  H. Nguyen-Xuan,et al.  An extended isogeometric thin shell analysis based on Kirchhoff-Love theory , 2015 .

[29]  Samir Khatir,et al.  Fast simulations for solving fracture mechanics inverse problems using POD-RBF XIGA and Jaya algorithm , 2019, Engineering Fracture Mechanics.

[30]  Ali Kaveh DAMAGE IDENTIFICATION OF TRUSS STRUCTURES USING CBO AND ECBO ALGORITHMS , 2016 .

[31]  Ming Liang,et al.  Experimental investigation of frequency-based multi-damage detection for beams using support vector regression , 2014 .

[32]  Samir Khatir,et al.  Damage assessment in structures using combination of a modified Cornwell indicator and genetic algorithm , 2018, Engineering Structures.

[33]  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.

[34]  R. Machado,et al.  ISOGEOMETRIC ANALYSIS APPLIED TO FREE VIBRATION ANALYSIS OF PLANE STRESS AND PLANE STRAIN STRUCTURES , 2017 .

[35]  Hari K. Voruganti,et al.  Static Structural and Modal Analysis Using Isogeometric Analysis , 2016 .

[36]  Ghodrat Karami,et al.  DQEM for free vibration analysis of Timoshenko beams on elastic foundations , 2003 .

[37]  Xin-She Yang,et al.  Bat algorithm: literature review and applications , 2013, Int. J. Bio Inspired Comput..

[38]  Chong Wang,et al.  Frequency response function-based model updating using Kriging model , 2017 .

[39]  Y. Kim,et al.  Damage detection using the Lipschitz exponent estimated by the wavelet transform: applications to vibration modes of a beam , 2002 .

[40]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[41]  T. Hughes,et al.  Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .

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

[43]  Timon Rabczuk,et al.  A multi-material level set-based topology optimization of flexoelectric composites , 2018, 1901.10752.

[44]  A. Kaveh,et al.  A novel heuristic optimization method: charged system search , 2010 .

[45]  Leonardo Tavares Stutz,et al.  Structural damage identification built on a response surface model and the flexibility matrix , 2018, Journal of Sound and Vibration.

[46]  Roger Serra,et al.  Damage detection and localization in composite beam structures based on vibration analysis , 2016 .

[47]  Magd Abdel Wahab,et al.  Optimization of IGA Parameters Based on Beam Structure Using Cuckoo Search Algorithm , 2018, Proceedings of the 1st International Conference on Numerical Modelling in Engineering.

[48]  L. Chouinard,et al.  Wavelet-based analysis of mode shapes for statistical detection and localization of damage in beams using likelihood ratio test , 2017 .

[49]  R. V. Rao,et al.  Optimal design of the heat pipe using TLBO (teaching–learning-based optimization) algorithm , 2015 .

[50]  Yun-Lai Zhou,et al.  Multiple damage detection in composite beams using Particle Swarm Optimization and Genetic Algorithm , 2017 .

[51]  Faramarz Khoshnoudian,et al.  Experimental validation of a FRF-based model updating method , 2018 .

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