A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure

Abstract Modal kinetic energy (MKE)-based feature has been widely employed for the selection of optimal sensor layout; however, its development to the field of structural damage identification has still received less attention. The article hence is performed to fill in this research gap by proposing a two-stage multi-damage detection approach for composite structures by using MKE change ratio (MKECR) and model updating procedure, taking into consideration both spatially-incomplete measurements and noise. In the first stage, the MKECR-based method is used to construct the damage equation set and then a Tikhonov regularization-based iterative technique is employed to solve this equation set for the purpose of damage localization. In the second stage, the model updating procedure using Lightning Attachment Procedure Optimization (LAPO) algorithm is established and implemented for damage severity estimation, in which the MKE feature is introduced here as an objective function for the first time. Finally, the performance of the proposed two-stage damage detection approach is investigated through two numerical examples of different composite structures (beam and plate). The obtained results from the simulation examples reveal that the proposed identification approach can identify multi-damage locations and estimate their damage severities with satisfactory accuracy, even under spatially-incomplete measurements and high measurement noise.

[1]  Norris Stubbs,et al.  Damage identification in beam-type structures: frequency-based method vs mode-shape-based method , 2003 .

[2]  V. Ho-Huu,et al.  Damage Detection in Laminated Composite Plates Using Modal Strain Energy and Improved Differential Evolution Algorithm , 2016 .

[3]  Charles R. Farrar,et al.  FIELD VERIFICATION OF A NONDESTRUCTIVE DAMAGE LOCALIZATION AND SEVERITY ESTIMATION ALGORITHM , 2002 .

[4]  S. M. Seyedpoor.  A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization , 2012 .

[5]  Bor-Tsuen Wang,et al.  Damage detection of surface cracks in composite laminates using modal analysis and strain energy method , 2006 .

[6]  Y. Y. Li,et al.  Hypersensitivity of strain-based indicators for structural damage identification: A review , 2010 .

[7]  Behrooz Vahidi,et al.  A novel physical based meta-heuristic optimization method known as Lightning Attachment Procedure Optimization , 2017, Appl. Soft Comput..

[8]  A. Tikhonov,et al.  Numerical Methods for the Solution of Ill-Posed Problems , 1995 .

[9]  M. Abdalla.  Matrix norms and their sensitivity to noise a computational study , 2005 .

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

[11]  A. R. Vosoughi,et al.  New hybrid FE-PSO-CGAs sensitivity base technique for damage detection of laminated composite beams , 2014 .

[12]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

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

[14]  Thanh-Phong Dao,et al.  A Hybrid Computational Method of Desirability, Fuzzy Logic, ANFIS, and LAPO Algorithm for Multiobjective Optimization Design of Scott Russell Compliant Mechanism , 2020, Mathematical Problems in Engineering.

[15]  Hashem Shariatmadar,et al.  Damage detection in structural systems by improved sensitivity of modal strain energy and Tikhonov regularization method , 2014 .

[16]  Duc T. Nguyen,et al.  Two-Stage Structural Damage Assessment by Combining Modal Kinetic Energy Change with Symbiotic Organisms Search , 2019, International Journal of Structural Stability and Dynamics.

[17]  Huajun Li,et al.  Cross-Modal Strain Energy Method for Estimating Damage Severity , 2006 .

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

[19]  T. Vo-Duy,et al.  Damage assessment of laminated composite beam structures using damage locating vector (DLV) method , 2015, Frontiers of Structural and Civil Engineering.

[20]  Sebastiao Simões da Cunha,et al.  Optimized damage identification in CFRP plates by reduced mode shapes and GA-ANN methods , 2019, Engineering Structures.

[21]  Amir K. Ghorbani-Tanha,et al.  Damage detection via closed-form sensitivity matrix of modal kinetic energy change ratio , 2017 .

[22]  In-Won Lee,et al.  An efficient algebraic method for the computation of natural frequency and mode shape sensitivities—Part I. Distinct natural frequencies , 1997 .

[23]  Thanh-Phong Dao,et al.  An effective hybrid approach of desirability, fuzzy logic, ANFIS and LAPO algorithm for optimizing compliant mechanism , 2020, Engineering with Computers.

[24]  Manoj Kumar,et al.  Experimental validation of modal strain energies based damage identification method for a composite sandwich beam , 2009 .

[25]  Trung Nguyen-Thoi,et al.  A two-stage assessment method using damage locating vector method and differential evolution algorithm for damage identification of cross-ply laminated composite beams , 2017 .

[26]  Trung Nguyen-Thoi,et al.  An efficient approach for optimal sensor placement and damage identification in laminated composite structures , 2018, Adv. Eng. Softw..

[27]  S. Law,et al.  Structural damage localization from modal strain energy change , 1998 .

[28]  Behrooz Vahidi,et al.  A new evolutionary-analytical two-step optimization method for optimal wind turbine allocation considering maximum capacity , 2018 .

[29]  Christian Cremona,et al.  Assessment of vibration-based damage identification techniques , 2006 .

[30]  A. M. R. Ribeiro,et al.  A review of vibration-based structural health monitoring with special emphasis on composite materials , 2006 .

[31]  Salah Kamel,et al.  Lightning attachment procedure optimization algorithm for nonlinear non-convex short-term hydrothermal generation scheduling , 2020, Soft Comput..

[32]  Ngo Van Hoa,et al.  An effective optimization-based parameterized interval analysis approach for static structural response with multiple uncertain parameters , 2020, Engineering with Computers.

[33]  Norris Stubbs,et al.  Damage Localization in Structures Without Baseline Modal Parameters , 1996 .

[34]  Trung Nguyen-Thoi,et al.  Modal Kinetic Energy Change Ratio-based Damage Assessment of Laminated Composite Beams using Noisy and Incomplete Measurements , 2019, J. Adv. Eng. Comput..

[35]  Guilherme Ferreira Gomes,et al.  The use of intelligent computational tools for damage detection and identification with an emphasis on composites – A review , 2018, Composite Structures.

[36]  Wang-Ji Yan,et al.  Damage Detection Method Based on Element Modal Strain Energy Sensitivity , 2010 .

[37]  Sebastiao Simões da Cunha,et al.  A sunflower optimization (SFO) algorithm applied to damage identification on laminated composite plates , 2019, Engineering with Computers.

[38]  Shuqing Wang,et al.  A novel Tikhonov regularization-based iterative method for structural damage identification of offshore platforms , 2018, Journal of Marine Science and Technology.

[39]  Guilherme Ferreira Gomes,et al.  A Review of Vibration Based Inverse Methods for Damage Detection and Identification in Mechanical Structures Using Optimization Algorithms and ANN , 2019 .

[40]  Trung Nguyen-Thoi,et al.  Structural damage assessment with incomplete and noisy modal data using model reduction technique and LAPO algorithm , 2019, Structure and Infrastructure Engineering.

[41]  V. Ho-Huu,et al.  Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm , 2019 .

[42]  K. Balasubramaniam,et al.  Modal strain energy change ratio for damage identification in honeycomb sandwich structures , 2014 .

[43]  Gene H. Golub,et al.  Tikhonov Regularization and Total Least Squares , 1999, SIAM J. Matrix Anal. Appl..

[44]  Xin Yan Lin,et al.  Damage Orientation Method Based on the Modal Kinetic Energy , 2012 .