Vibration-based damage detection of structures employing Bayesian data fusion coupled with TLBO optimization algorithm

The present paper deals with structural health monitoring of trusses, space frame and plate structure utilizing the Bayesian data fusion approach. The application of the proposed approach has been demonstrated on a 25-member plane truss, a 42-member space frame, a cantilever plate and a 120-member space truss. Different damage indexes of interest have been calculated for the damaged structure utilizing the natural frequency and modeshapes as damage indicators. Damage indexes used are modal strain energy (DIMSE), frequency response function strain energy dissipation ratio (FRFSEDR), flexibility strain energy damage ratio (FSEDR) and residual force-based damage index (RFBDI). Next, the Bayesian data fusion approach has been applied to these four damage indexes to find out the accurate damage location. The proposed approach reduces the number of suspected damaged elements in the structure significantly, thus reducing the computational time of optimization algorithm. Proposed algorithm has also shown encouraging performance in noisy environments. Overall present approach is found to be robust and computationally efficient, and thus can be applied for damage detection involving field evaluation of various structures.

[1]  Damodar Maity,et al.  A comparative study of regression, neural network and neuro-fuzzy inference system for determining the compressive strength of brick–mortar masonry by fusing nondestructive testing data , 2019, Engineering with Computers.

[2]  Tao Yin,et al.  Vibration-based damage detection for structural connections using incomplete modal data by Bayesian approach and model reduction technique , 2017 .

[3]  Ganggang Sha,et al.  Structural damage identification using damping: a compendium of uses and features , 2017 .

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

[5]  Wang-Ji Yan,et al.  A novel Bayesian approach for structural model updating utilizing statistical modal information from multiple setups , 2015 .

[6]  Heung-Fai Lam,et al.  The Bayesian methodology for the detection of railway ballast damage under a concrete sleeper , 2014 .

[7]  Zhengfang Zhang,et al.  A piecewise constant level set method for damage identification of continuum structures based on natural frequencies , 2019, Structural and Multidisciplinary Optimization.

[8]  C. Fritzen,et al.  DAMAGE DETECTION BASED ON MODEL UPDATING METHODS , 1998 .

[9]  Hong Hao,et al.  Vibration-based Damage Detection of Structures by Genetic Algorithm , 2002 .

[10]  Damodar Maity,et al.  Ant lion optimisation algorithm for structural damage detection using vibration data , 2018, Journal of Civil Structural Health Monitoring.

[11]  S. M. Seyedpoor,et al.  A New Flexibility Based Damage Index for Damage Detection of Truss Structures , 2014 .

[12]  Weisheng Chen,et al.  A developed surrogate-based optimization framework combining HDMR-based modeling technique and TLBO algorithm for high-dimensional engineering problems , 2019, Structural and Multidisciplinary Optimization.

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

[14]  Shun Weng,et al.  L1 regularization approach to structural damage detection using frequency data , 2015 .

[15]  Damodar Maity,et al.  Damage assessment of truss structures from changes in natural frequencies using ant colony optimization , 2012, Appl. Math. Comput..

[16]  Ruben Andres Salas,et al.  Identification problem of acoustic media in the frequency domain based on the topology optimization method , 2020, Structural And Multidisciplinary Optimization.

[17]  Rongming Lin,et al.  Structural damage detection using measured FRF data , 1997 .

[18]  Ricardo Perera,et al.  Structural Damage Detection via Modal Data with Genetic Algorithms , 2006 .

[19]  S. M. Seyedpoor,et al.  Structural damage detection using a damage probability index based on frequency response function and strain energy concept , 2018 .

[20]  C. Ratcliffe A Frequency and Curvature Based Experimental Method for Locating Damage in Structures , 2000 .

[21]  Vibration-Based Delamination Detection in Composite Structures Employing Mixed Unified Particle Swarm Optimization , 2020 .

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

[23]  Damodar Maity,et al.  Two-Stage Inverse Method to Detect Delamination in Composite Beam Using Vibration Responses , 2019, AIAA Journal.

[24]  M. Chandrashekhar,et al.  Damage assessment of structures with uncertainty by using mode-shape curvatures and fuzzy logic , 2009 .

[25]  Lambros S. Katafygiotis,et al.  Unified Probabilistic Approach for Model Updating and Damage , 2006 .

[26]  R. Venkata Rao,et al.  Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems , 2011, Comput. Aided Des..

[27]  Mingqiang Xu,et al.  Modal Strain Energy-based Structural Damage Identification: A Review and Comparative Study , 2018, Structural Engineering International.

[28]  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 .

[29]  Stefan Hurlebaus,et al.  A probabilistic damage detection approach using vibration-based nondestructive testing , 2012 .

[30]  Franco Bontempi,et al.  Structural health monitoring of a cable-stayed bridge with Bayesian neural networks , 2015, Design, Assessment, Monitoring and Maintenance of Bridges and Infrastructure Networks.

[31]  Nantiwat Pholdee,et al.  Inverse problem based differential evolution for efficient structural health monitoring of trusses , 2018, Appl. Soft Comput..

[32]  Jorge Daniel Riera,et al.  Damage detection by means of structural damping identification , 2008 .

[33]  Chul-Woo Kim,et al.  Modal-parameter identification and vibration-based damage detection of a damaged steel truss bridge , 2016 .

[34]  Jun Li,et al.  Structural damage identification using improved Jaya algorithm based on sparse regularization and Bayesian inference , 2019, Mechanical Systems and Signal Processing.

[35]  Sriram Narasimhan,et al.  Bayesian Two-Phase Gamma Process Model for Damage Detection and Prognosis , 2018 .

[36]  David P. Thambiratnam,et al.  Detecting damage in steel beams using modal strain energy based damage index and Artificial Neural Network , 2017 .

[37]  Sanjaya Kumar Patro,et al.  Vibration-based damage detection techniques used for health monitoring of structures: a review , 2016 .

[38]  Maria Q. Feng,et al.  Structural Health Monitoring by Recursive Bayesian Filtering , 2009 .

[39]  F. J. Soeiro,et al.  Structural damage detection based on static and modal analysis , 1989 .

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

[41]  Jinping Ou,et al.  Structural damage identification by adding virtual masses , 2013 .

[42]  Damodar Maity,et al.  Damage assessment of structures from changes in natural frequencies using genetic algorithm , 2005 .

[43]  Tayfun Dede,et al.  Optimum design of grillage structures to LRFD-AISC with teaching-learning based optimization , 2013 .

[44]  A. Kaveh,et al.  Cyclical Parthenogenesis Algorithm for guided modal strain energy based structural damage detection , 2017, Appl. Soft Comput..

[45]  V. Jayalakshmi,et al.  Simultaneous identification of damage and input dynamic force on the structure for structural health monitoring , 2017 .

[46]  Luís F. Ramos,et al.  A Bayesian approach for NDT data fusion: The Saint Torcato church case study , 2015 .

[47]  Nuno M. M. Maia,et al.  DAMAGE DETECTION USING THE FREQUENCY-RESPONSE-FUNCTION CURVATURE METHOD , 1999 .

[48]  Heung-Fai Lam,et al.  Markov chain Monte Carlo‐based Bayesian method for structural model updating and damage detection , 2018 .

[49]  Ramin Ghiasi,et al.  A three-stage damage detection method for large-scale space structures using forward substructuring approach and enhanced bat optimization algorithm , 2018, Engineering with Computers.

[50]  Nicholas Haritos,et al.  Structural damage identification in plates using spectral strain energy analysis , 2007 .

[51]  Yong Xia,et al.  Structural damage detection based on l1 regularization using natural frequencies and mode shapes , 2018 .

[52]  Guido De Roeck,et al.  Dealing with uncertainty in model updating for damage assessment: A review , 2015 .

[53]  James M. Ricles,et al.  Damage Detection in Structures by Modal Vibration Characterization , 1999 .

[54]  Mohammad Reza Ghasemi,et al.  Enhanced optimization-based structural damage detection method using modal strain energy and modal frequencies , 2017, Engineering with Computers.

[55]  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 .

[56]  Animesh Chatterjee,et al.  Structural damage assessment in a cantilever beam with a breathing crack using higher order frequency response functions , 2010 .

[57]  Shuai Zhang,et al.  Two-stage structural damage detection using fuzzy neural networks and data fusion techniques , 2011, Expert Syst. Appl..

[58]  Damodar Maity,et al.  Performance Studies of 10 Metaheuristic Techniques in Determination of Damages for Large-Scale Spatial Trusses from Changes in Vibration Responses , 2020, J. Comput. Civ. Eng..

[59]  Hoon Sohn,et al.  A Bayesian Probabilistic Approach for Structure Damage Detection , 1997 .

[60]  Jeong‐Tae Kim,et al.  Improved damage identification method based on modal information , 2002 .

[61]  Aboelmagd Noureldin,et al.  Fast orthogonal search (FOS) versus fast Fourier transform (FFT) as spectral model estimations techniques applied for structural health monitoring (SHM) , 2012 .

[62]  Junjie Li,et al.  Damage detection based on improved particle swarm optimization using vibration data , 2012, Appl. Soft Comput..

[63]  Wei Fan,et al.  Vibration-based Damage Identification Methods: A Review and Comparative Study , 2011 .

[64]  Damodar Maity,et al.  A New Hybrid Unified Particle Swarm Optimization Technique for Damage Assessment from Changes of Vibration Responses , 2020 .

[65]  Damodar Maity,et al.  Damage Detection of Truss Employing Swarm-Based Optimization Techniques: A Comparison , 2019, Advanced Engineering Optimization Through Intelligent Techniques.

[66]  Damodar Maity,et al.  Damage assessment of structures using hybrid neuro-genetic algorithm , 2007, Appl. Soft Comput..

[67]  Trung Nguyen-Thoi,et al.  Damage assessment in truss structures with limited sensors using a two-stage method and model reduction , 2018, Appl. Soft Comput..

[68]  Tianxiang Huang,et al.  A Bayesian probabilistic approach for damage identification in plate structures using responses at vibration nodes , 2021 .

[69]  Wenyu Yang,et al.  Bayesian strain modal analysis under ambient vibration and damage identification using distributed fiber Bragg grating sensors , 2013 .

[70]  Mahmoud R. Maheri,et al.  Multi-stage approach for structural damage detection problem using basis pursuit and particle swarm optimization , 2016 .

[71]  Z. L. Li,et al.  Structural damage identification based on Bayesian theory and improved immune genetic algorithm , 2012, Expert Syst. Appl..

[72]  Charles R. Farrar,et al.  A Bayesian approach based on a Markov-chain Monte Carlo method for damage detection under unknown sources of variability , 2014 .

[73]  Ashutosh Bagchi,et al.  Performance of Vibration-based Techniques for the Identification of Structural Damage , 2006 .

[74]  David P. Thambiratnam,et al.  Vibration based structural damage detection in flexural members using multi-criteria approach , 2009 .