A new robust flexibility index for structural damage identification and quantification

Abstract In this paper, an enhanced damage indicator using a flexibility index is presented and applied to different complex structures to predict the exact location of damage. Finite Element Method (FEM) is used to model three complex structures, namely a 37-bar planar truss, a 52-bar planar truss, and a 52-bar space truss (Dome structure) to study the effectiveness of the proposed indicator. Single and multiple damage scenarios with different damage levels are considered. The results show that the proposed indicator provides an accurate location of damage. Next, to quantify the damage and assess its severity, two optimization techniques, namely Atom Search Optimization (ASO) and Salp Swarm Optimizer (SSA), which are recently invented, are used to solve an inverse problem. The objective function is based on the measured and calculated enhanced damage indicators. Both optimization techniques provide good results, however the convergence performance and CPU time are better for ASO than SSA. Finally, the proposed approach is tested using a benchmark structure, namely a high-rise tower (Guangzhou TV Tower) to predict the damage location at different floors. The results indicate that the proposed methodology is accurate and fast to predict single and multiple damages.

[1]  Samir Khatir,et al.  Inverse problem for dynamic structural health monitoring based on slime mould algorithm , 2021, Engineering with Computers.

[2]  Siu-Seong Law,et al.  Structural Damage Diagnosis-Oriented Impulse Response Function Estimation under Seismic Excitations , 2019, Sensors.

[3]  Oral Büyüköztürk,et al.  Structural Damage Detection Using Modal Strain Energy and Hybrid Multiobjective Optimization , 2015, Comput. Aided Civ. Infrastructure Eng..

[4]  Yi-Qing Ni,et al.  Theoretical and experimental modal analysis of the Guangzhou New TV Tower , 2011 .

[5]  Seyed Sina Kourehli,et al.  Multiverse optimizer for structural damage detection: Numerical study and experimental validation , 2020, The Structural Design of Tall and Special Buildings.

[6]  Hossam Faris,et al.  Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems , 2017, Adv. Eng. Softw..

[7]  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.

[8]  Samir Khatir,et al.  A modified transmissibility indicator and Artificial Neural Network for damage identification and quantification in laminated composite structures , 2020 .

[9]  M. Yuen.  A NUMERICAL STUDY OF THE EIGENPARAMETERS OF A DAMAGED CANTILEVER , 1985 .

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

[11]  Leandro Fleck Fadel Miguel,et al.  Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms , 2012, Expert Syst. Appl..

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

[13]  S. Wu,et al.  Steady-state genetic algorithms for discrete optimization of trusses , 1995 .

[14]  Yi-Qing Ni,et al.  SHM benchmark for high-rise structures: a reduced-order finite element model and field measurement data , 2012 .

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

[16]  Zhenxing Zhang,et al.  Atom search optimization and its application to solve a hydrogeologic parameter estimation problem , 2019, Knowl. Based Syst..

[17]  Damodar Maity,et al.  Structural damage assessment using FRF employing particle swarm optimization , 2013, Appl. Math. Comput..

[18]  Timon Rabczuk,et al.  An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications , 2019, Computer Methods in Applied Mechanics and Engineering.

[19]  David P. Thambiratnam,et al.  Damage detection in a suspension bridge using modal flexibility method , 2020, Engineering Failure Analysis.

[20]  T. Rabczuk,et al.  A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate , 2021, Computers, Materials & Continua.

[21]  Q. W. Yang.  A numerical technique for structural damage detection , 2009, Appl. Math. Comput..

[22]  A. K. Pandey,et al.  Damage Detection in Structures Using Changes in Flexibility , 1994 .

[23]  H. Y. Hwang,et al.  Damage detection in structures using a few frequency response measurements , 2004 .

[25]  R. Capozucca,et al.  Static and dynamic response of damaged RC beams strengthened with NSM CFRP rods , 2009 .

[26]  S. M. Seyedpoor,et al.  An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure , 2013 .

[27]  Magd Abdel Wahab,et al.  An improved Artificial Neural Network using Arithmetic Optimization Algorithm for damage assessment in FGM composite plates , 2021 .

[28]  Q. H. Wu,et al.  A heuristic particle swarm optimizer for optimization of pin connected structures , 2007 .

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

[30]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[31]  Grant P. Steven,et al.  VIBRATION-BASED MODEL-DEPENDENT DAMAGE (DELAMINATION) IDENTIFICATION AND HEALTH MONITORING FOR COMPOSITE STRUCTURES — A REVIEW , 2000 .

[32]  Naif Alajlan,et al.  Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates , 2020, European Journal of Mechanics - A/Solids.