Cyclical Parthenogenesis Algorithm for guided modal strain energy based structural damage detection

Abstract In this paper, a newly developed multi-agent meta-heuristic method, named Cyclical Parthenogenesis Algorithm (CPA), is incorporated into a guided modal strain energy based structural damage detection technique. A modal strain energy based index is used to guide the structural damage identification process, which is formulated as an inverse optimization problem. Generalized Flexibility Matrix (GFM) of the structure is used to define the objective function of the optimization problem. Three numerical examples are provided in order to examine the viability of the proposed method. The results indicate that the proposed method is capable of locating and quantifying structural damage using only the first few modes of the structure. The results are also compared with those of three other meta-heuristic algorithms in order to show the efficiency of CPA in solving the problem.

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

[2]  S. M. Seyedpoor,et al.  Structural Damage Identification Using an Adaptive Multi-stage Optimization Method Based on a Modified Particle Swarm Algorithm , 2013, Journal of Optimization Theory and Applications.

[3]  George C. McGavin Bugs of the World , 1993 .

[4]  Alessandro De Stefano,et al.  Structural damage detection using residual forces based on wavelet transform , 2010 .

[5]  C. Lim,et al.  A generalized flexibility matrix based approach for structural damage detection , 2010 .

[6]  A. Kaveh,et al.  Democratic PSO for truss layout and size optimization with frequency constraints , 2014 .

[7]  Nazanin Rahnavard,et al.  Vibration-based monitoring and diagnostics using compressive sensing , 2017 .

[8]  Y. Yana,et al.  Development in vibration-based structural damage detection technique , 2007 .

[9]  A. Dixon,et al.  Aphid Ecology An optimization approach , 1985, Springer Netherlands.

[10]  Seyed Mohammad Mirjalili,et al.  The Ant Lion Optimizer , 2015, Adv. Eng. Softw..

[11]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[12]  Shirley J. Dyke,et al.  Structural health monitoring for flexible bridge structures using correlation and sensitivity of modal data , 2007 .

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

[14]  G. Ghodrati Amiri,et al.  A New Damage Detection Method: Big Bang-Big Crunch (BB-BC) Algorithm , 2013 .

[15]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

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

[17]  Ali Kaveh,et al.  CYCLICAL PARTHENOGENESIS ALGORITHM: A NEW META-HEURISTIC ALGORITHM , 2017 .

[18]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[19]  Mir Mohammad Ettefagh,et al.  A hybrid particle swarm-Nelder-Mead optimization method for crack detection in cantilever beams , 2012, Appl. Soft Comput..

[20]  Mustafa Arafa,et al.  Finite Element Model Updating Approach to Damage Identification in Beams Using Particle Swarm Optimization , 2008, DAC 2008.

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

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

[23]  Kevin Dawson The Advantage of Asexual Reproduction: When is it Two-fold? , 1995 .

[24]  Sudhir Kaul,et al.  Crack diagnostics in beams using wavelets, kurtosis and skewness , 2014 .

[25]  E. J. Williams,et al.  STRUCTURAL DAMAGE DETECTION BY A SENSITIVITY AND STATISTICAL-BASED METHOD , 1998 .

[26]  George C. Williams,et al.  Sex and evolution. , 1975, Monographs in population biology.

[27]  A. Kaveh,et al.  A new optimization method: Dolphin echolocation , 2013, Adv. Eng. Softw..

[28]  Ricardo Perera,et al.  A multistage FE updating procedure for damage identification in large-scale structures based on multiobjective evolutionary optimization , 2008 .

[29]  S. K. Panigrahi,et al.  Damage Identification of Multistory Shear Structure from Sparse Modal Information , 2013, J. Comput. Civ. Eng..

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

[31]  Hai Huang,et al.  A vibration measurement system for health monitoring of power transformers , 2016 .

[32]  Ali Kaveh,et al.  Advances in Metaheuristic Algorithms for Optimal Design of Structures , 2014 .

[33]  Abdollah Bagheri,et al.  Damage detection in plates based on pattern search and Genetic algorithms , 2011 .

[34]  Rong-Song He,et al.  Damage detection by a hybrid real-parameter genetic algorithm under the assistance of grey relation analysis , 2007, Eng. Appl. Artif. Intell..

[35]  Leandro Fleck Fadel Miguel,et al.  An improved hybrid optimization algorithm for vibration based-damage detection , 2016, Adv. Eng. Softw..

[36]  Ali Kaveh,et al.  Colliding bodies optimization: A novel meta-heuristic method , 2014 .

[37]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[38]  A. Kaveh,et al.  A new meta-heuristic method: Ray Optimization , 2012 .

[39]  S. Sandesh,et al.  Application of a hybrid of particle swarm and genetic algorithm for structural damage detection , 2010 .

[40]  Peng Xu,et al.  Structural health monitoring based on continuous ACO method , 2011, Microelectron. Reliab..

[41]  Ardeshir Bahreininejad,et al.  Water cycle, mine blast and improved mine blast algorithms for discrete sizing optimization of truss structures , 2015 .

[42]  G. Ghodrati Amiri,et al.  GENERALIZED FLEXIBILITY-BASED MODEL UPDATING APPROACH VIA DEMOCRATIC PARTICLE SWARM OPTIMIZATION ALGORITHM FOR STRUCTURAL DAMAGE PROGNOSIS , 2015 .

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

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

[45]  Leandro Fleck Fadel Miguel,et al.  Search group algorithm , 2015 .

[46]  Herbert Martins Gomes,et al.  Some comparisons for damage detection on structures using genetic algorithms and modal sensitivity method , 2008 .

[47]  Xin-She Yang,et al.  Firefly algorithm, stochastic test functions and design optimisation , 2010, Int. J. Bio Inspired Comput..

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

[49]  Kiarash M. Dolatshahi,et al.  Inverse vibration technique for structural health monitoring of offshore jacket platforms , 2017 .

[50]  T. Bakhshpoori,et al.  Tug of War Optimization Algorithm , 2019, Metaheuristics: Outlines, MATLAB Codes and Examples.

[51]  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..

[52]  S. M. Seyedpoor,et al.  A TWO STAGE METHOD FOR STRUCTURAL DAMAGE IDENTIFICATION USING AN ADAPTIVE NEURO-FUZZY INFERENCE SYSTEM AND PARTICLE SWARM OPTIMIZATION , 2010 .

[53]  Mohsen Ghafory-Ashtiany,et al.  Application of genetic algorithm in crack detection of beam-like structures using a new cracked Euler-Bernoulli beam element , 2013, Appl. Soft Comput..

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