Crack detection of the cantilever beam using new triple hybrid algorithms based on Particle Swarm Optimization
Amin GHANNADIASL, Saeedeh GHAEMIFARD
Crack detection of the cantilever beam using new triple hybrid algorithms based on Particle Swarm Optimization
The presence of cracks in a concrete structure reduces its performance and increases in the size of cracks result in the failure of the structure. Therefore, the accurate determination of crack characteristics, such as location and depth, is one of the key engineering issues for assessment of the reliability of structures. This paper deals with the inverse analysis of the crack detection problems using triple hybrid algorithms based on Particle Swarm Optimization (PSO); these hybrids are Particle Swarm Optimization-Genetic Algorithm-Firefly Algorithm (PSO-GA-FA), Particle Swarm Optimization-Grey Wolf Optimization-Firefly Algorithm (PSO-GWO-FA), and Particle Swarm Optimization-Genetic Algorithm-Grey Wolf Optimization (PSO-GA-GWO). A strong correlation exists between the changes in the natural frequency of a concrete beam and the crack parameters. Thus, the location and depth of a crack in a beam can be predicted by measuring its natural frequency. Hence, the measured natural frequency can be used as the input parameter of the algorithm. In this paper, this is applied to identify crack location and depth in a cantilever beam using the new hybrid algorithms. The results show that among the proposed triple hybrid algorithms, the PSO-GA-FA and PSO-GWO-FA algorithms are much more effective than PSO-GA-GWO algorithm for the crack detection.
crack / cantilever beam / triple hybrid algorithms / Particle Swarm Optimization
[1] |
Dimarogonas A, Papadopoulos C. Vibration of cracked shafts in bending. Journal of Sound and Vibration, 1983, 91(4): 583–593
CrossRef
Google scholar
|
[2] |
Qian G L, Gu S N, Jiang J S. The dynamic behaviour and crack detection of a beam with a crack. Journal of Sound and Vibration, 1990, 138(2): 233–243
CrossRef
Google scholar
|
[3] |
Nahvi H, Jabbari M. Crack detection in beams using experimental modal data and finite element model. International Journal of Mechanical Sciences, 2005, 47(10): 1477–1497
CrossRef
Google scholar
|
[4] |
Chondros T, Dimarogonas A, Yao J. A continuous cracked beam vibration theory. Journal of Sound and Vibration, 1998, 215(1): 17–34
CrossRef
Google scholar
|
[5] |
Kim J T, Stubbs N. Crack detection in beam-type structures using frequency data. Journal of Sound and Vibration, 2003, 259(1): 145–160
CrossRef
Google scholar
|
[6] |
Orhan S. Analysis of free and forced vibration of a cracked cantilever beam. NDT & E International, 2007, 40(6): 443–450
CrossRef
Google scholar
|
[7] |
Saavedra P, Cuitino L. Crack detection and vibration behavior of cracked beams. Computers & Structures, 2001, 79(16): 1451–1459
CrossRef
Google scholar
|
[8] |
Zheng D Y, Kessissoglou N. Free vibration analysis of a cracked beam by finite element method. Journal of Sound and Vibration, 2004, 273(3): 457–475
CrossRef
Google scholar
|
[9] |
Rizos P, Aspragathos N, Dimarogonas A. Identification of crack location and magnitude in a cantilever beam from the vibration modes. Journal of Sound and Vibration, 1990, 138(3): 381–388
CrossRef
Google scholar
|
[10] |
Sahoo B, Maity D. Damage assessment of structures using hybrid neuro-genetic algorithm. Applied Soft Computing, 2007, 7(1): 89–104
CrossRef
Google scholar
|
[11] |
Vakil Baghmisheh M T, Peimani M, Sadeghi M H, Ettefagh M M, Tabrizi A F. A hybrid particle swarm–Nelder–Mead optimization method for crack detection in cantilever beams. Applied Soft Computing, 2012, 12(8): 2217–2226
CrossRef
Google scholar
|
[12] |
Vakil-Baghmisheh M T, Peimani M, Sadeghi M H, Ettefagh M M. Crack detection in beam-like structures using genetic algorithms. Applied Soft Computing, 2008, 8(2): 1150–1160
CrossRef
Google scholar
|
[13] |
Patil D, Maiti S. Experimental verification of a method of detection of multiple cracks in beams based on frequency measurements. Journal of Sound and Vibration, 2005, 281(1−2): 439–451
CrossRef
Google scholar
|
[14] |
Rosales M B, Filipich C P, Buezas F S. Crack detection in beam-like structures. Engineering Structures, 2009, 31(10): 2257–2264
CrossRef
Google scholar
|
[15] |
Moezi S A, Zakeri E, Zare A, Nedaei M. On the application of modified cuckoo optimization algorithm to the crack detection problem of cantilever Euler–Bernoulli beam. Computers & Structures, 2015, 157: 42–50
CrossRef
Google scholar
|
[16] |
Nandwana B, Maiti S. Detection of the location and size of a crack in stepped cantilever beams based on measurements of natural frequencies. Journal of Sound and Vibration, 1997, 203(3): 435–446
CrossRef
Google scholar
|
[17] |
Lele S, Maiti S. Modelling of transverse vibration of short beams for crack detection and measurement of crack extension. Journal of Sound and Vibration, 2002, 257(3): 559–583
CrossRef
Google scholar
|
[18] |
Viola E, Federici L, Nobile L. Detection of crack location using cracked beam element method for structural analysis. Theoretical and Applied Fracture Mechanics, 2001, 36(1): 23–35
CrossRef
Google scholar
|
[19] |
Rezanezhad M, Lajevardi S A, Karimpouli S. An investigation on prevalent strategies for XFEM-based numerical modeling of crack growth in porous media. Frontiers of Structural and Civil Engineering, 2021, 15(4): 914–936
CrossRef
Google scholar
|
[20] |
Rungamornrat J, Chansavang B, Phongtinnaboot W, Van C N. Investigation of Generalized SIFs of cracks in 3D piezoelectric media under various crack-face conditions. Frontiers of Structural and Civil Engineering, 2020, 14(2): 280–298
CrossRef
Google scholar
|
[21] |
Zainud-Deen S H, Hassen W M, Awadalla K H. Crack detection using a hybrid finite difference frequency domain and particle swarm optimization techniques. In: 2009 National Radio Science Conference. Cairo: IEEE, 2009,
|
[22] |
Nanthakumar S S, Lahmer T, Rabczuk T. Detection of flaws in piezoelectric structures using extended FEM. International Journal for Numerical Methods in Engineering, 2013, 96(6): 373–389
CrossRef
Google scholar
|
[23] |
Nanthakumar S S, Lahmer T, Zhuang X, Zi G, Rabczuk T. Detection of material interfaces using a regularized level set method in piezoelectric structures. Inverse Problems in Science and Engineering, 2016, 24(1): 153–176
CrossRef
Google scholar
|
[24] |
Nanthakumar S S, Lahmer T, Rabczuk T. Detection of multiple flaws in piezoelectric structures using XFEM and level sets. Computer Methods in Applied Mechanics and Engineering, 2014, 275: 98–112
CrossRef
Google scholar
|
[25] |
Samanta S, Nanthakumar S S, Annabattula R K, Zhuang X. Detection of void and metallic inclusion in 2D piezoelectric cantilever beam using impedance measurements. Frontiers of Structural and Civil Engineering, 2019, 13(3): 542–556
CrossRef
Google scholar
|
[26] |
Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
CrossRef
Google scholar
|
[27] |
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758
CrossRef
Google scholar
|
[28] |
Ghasemi H, Park H S, Rabczuk T. A level-set based IGA formulation for topology optimization of flexoelectric materials. Computer Methods in Applied Mechanics and Engineering, 2017, 313: 239–258
CrossRef
Google scholar
|
[29] |
Ghasemi H, Park H S, Rabczuk T. A multi-material level set-based topology optimization of flexoelectric composites. Computer Methods in Applied Mechanics and Engineering, 2018, 332: 47–62
CrossRef
Google scholar
|
[30] |
Ghasemi H, Kerfriden P, Bordas S P A, Muthu J, Zi G, Rabczuk T. Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients. Composite Structures, 2015, 120: 221–230
CrossRef
Google scholar
|
[31] |
Ghasemi H, Kerfriden P, Bordas S P A, Muthu J, Zi G, Rabczuk T. Probabilistic multiconstraints optimization of cooling channels in ceramic matrix composites. Composites. Part B, Engineering, 2015, 81: 107–119
CrossRef
Google scholar
|
[32] |
Talebi H, Silani M, Rabczuk T. Concurrent multiscale modeling of three dimensional crack and dislocation propagation. Advances in Engineering Software, 2015, 80: 82–92
CrossRef
Google scholar
|
[33] |
Zhou S, Rabczuk T, Zhuang X. Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies. Advances in Engineering Software, 2018, 122: 31–49
CrossRef
Google scholar
|
[34] |
Zhou S, Zhuang X, Zhu H, Rabczuk T. Phase field modelling of crack propagation, branching and coalescence in rocks. Theoretical and Applied Fracture Mechanics, 2018, 96: 174–192
CrossRef
Google scholar
|
[35] |
Zhou S, Zhuang X, Rabczuk T. A phase-field modeling approach of fracture propagation in poroelastic media. Engineering Geology, 2018, 240: 189–203
CrossRef
Google scholar
|
[36] |
Jena P K, Parhi D R. A modified particle swarm optimization technique for crack detection in Cantilever Beams. Arabian Journal for Science and Engineering, 2015, 40(11): 3263–3272
CrossRef
Google scholar
|
[37] |
Ghannadiasl A, Ajirlou S K. Analytical solution of dynamic analysis of cracked Euler–Bernoulli beam with elastic boundary condition by GFM. Romanian Journal of Acoustics and Vibration, 2018, 15(2): 100–107
|
[38] |
Ghadimi S, Kourehli S S. Crack detection of structures using modified extreme learning machine (MELM). Inverse Problems in Science and Engineering, 2017, 25(7): 995–1013
CrossRef
Google scholar
|
[39] |
Ghadimi S, Kourehli S S. Multiple crack identification in Euler beams using extreme learning machine. KSCE Journal of Civil Engineering, 2017, 21(1): 389–396
CrossRef
Google scholar
|
[40] |
Prawin J, Rama Mohan Rao A. Reference-free breathing crack identification of beam-like structures using an enhanced spatial Fourier power spectrum with exponential weighting functions. International Journal of Structural Stability and Dynamics, 2019, 19(2): 1950017
CrossRef
Google scholar
|
[41] |
Ghadimi S, Kourehli S S. Multi cracks detection in Euler-Bernoulli beam subjected to a moving mass based on acceleration responses. Inverse Problems in Science and Engineering, 2018, 26(12): 1728–1748
CrossRef
Google scholar
|
[42] |
Samir K, Brahim B, Capozucca R, Abdel Wahab M. Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithm. Composite Structures, 2018, 187: 344–353
CrossRef
Google scholar
|
[43] |
Khatir S, Dekemele K, Loccufier M, Khatir T, Abdel Wahab M. Crack identification method in beam-like structures using changes in experimentally measured frequencies and Particle Swarm Optimization. Comptes Rendus Mécanique, 2018, 346(2): 110–120
CrossRef
Google scholar
|
[44] |
Wimarshana B, Wu N, Wu C. Application of entropy in identification of breathing cracks in a beam structure: Simulations and experimental studies. Structural Health Monitoring, 2018, 17(3): 549–564
CrossRef
Google scholar
|
[45] |
Wei Z, Liu J, Lu Z. Structural damage detection using improved particle swarm optimization. Inverse Problems in Science and Engineering, 2018, 26(6): 792–810
CrossRef
Google scholar
|
[46] |
Khatir S, Abdel Wahab M, Boutchicha D, Khatir T. Structural health monitoring using modal strain energy damage indicator coupled with teaching-learning-based optimization algorithm and isogoemetric analysis. Journal of Sound and Vibration, 2019, 448: 230–246
CrossRef
Google scholar
|
[47] |
Zenzen R, Belaidi I, Khatir S, Abdel Wahab M. A damage identification technique for beam-like and truss structures based on FRF and Bat Algorithm. Comptes Rendus Mécanique, 2018, 346(12): 1253–1266
CrossRef
Google scholar
|
[48] |
Wang T, Noori M, Altabey W A. Identification of cracks in an Euler–Bernoulli beam using Bayesian inference and closed-form solution of vibration modes. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 2021, 235(2): 421–438
|
[49] |
Chinka S S B, Putti S R, Adavi B K. Modal testing and evaluation of cracks ofdn cantilever beam using mode shape curvatures and natural frequencies. Structures, 2021, 32(1): 1386–1397
|
[50] |
Wu Z, Huang B, Tee K F, Zhang W. A novel stochastic approach for static damage identification of beam structures using homotopy analysis algorithm. Sensors (Basel), 2021, 21(7): 2366
CrossRef
Google scholar
|
[51] |
Broumand P. Inverse problem techniques for multiple crack detection in 2D elastic continua based on extended finite element concepts. Inverse Problems in Science and Engineering, 2021, 29(12): 1702–1728
CrossRef
Google scholar
|
[52] |
Casciati S. Stiffness identification and damage localization via differential evolution algorithms. Structural Control and Health Monitoring, 2008, 15(3): 436–449
CrossRef
Google scholar
|
[53] |
Casciati S, Elia L. Potential of two metaheuristic optimization tools for damage localization in civil structures. Journal of Aerospace Engineering, 2017, 30(2): B4016012
CrossRef
Google scholar
|
[54] |
Kennedy J, Eberhart R. Particle swarm optimization. In: Proceedings of ICNN'95—International Conference on Neural Networks. Perth: IEEE, 1995,
|
[55] |
Yang X S. Firefly algorithm, stochastic test functions and design optimisation. International Journal of Bio-inspired Computation, 2010, 2(2): 78–84
CrossRef
Google scholar
|
[56] |
Yang X S. Firefly algorithms for multimodal optimization. In: International Symposium on Stochastic Algorithms. Berlin: Spriner, 2009,
|
[57] |
Mirjalili S, Mirjalili S M, Lewis A. Grey wolf optimizer. Advances in Engineering Software, 2014, 69: 46–61
CrossRef
Google scholar
|
[58] |
Ghannadiasl A, Khodapanah Ajirlou S. Forced vibration of multi-span cracked Euler–Bernoulli beams using dynamic Green function formulation. Applied Acoustics, 2019, 148: 484–494
CrossRef
Google scholar
|
/
〈 | 〉 |