Abstract
One of the objective functions used in damage detection problems is the one in which the difference of natural frequencies and mode shapes for the actual and computed damage scenarios are compared simultaneously. Using this type of objective function, one can locate the damage and quantify its severity in a single step. In this paper, a new version of these objective functions is presented in order to decrease the burden of the calculations of the former methods. The presented method has two phases, in the first phase, the natural frequencies are calculated, and in the second phase, the mode shapes are evaluated. The second phase is performed only if the natural frequencies of the computed solution obtained from the first phase are equal to the natural frequencies of the considered scenario. Hence, the number of evaluating modes is considerably decreased. In order to demonstrate the efficiency of the new objective function, the accelerated water evaporation optimization algorithm is utilized for damage detection of three different skeletal structures using different scenarios. Additionally, the numbers of calculated fractions in each iteration of the single-phase and two-phase methods are compared, to show the reduction in the volume of the operations.
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References
Boonlong K (2014) Vibration-based damage detection in beams by cooperative coevolutionary genetic algorithm. Adv Mech Eng 6:624949
Doebling SW, Farrar CR, Prime MB, Shevitz DW (1996) Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Technical report LA-13070-MS, UC-900. Los Alamos National Laboratory, Los Alamos, New Mexico
Doebling SW, Farrar CR, Prime MB (1998) A summary review of vibration-based damage identification methods. Shock Vib Dig 30:91–105
Fan W, Qiao P (2009) A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures. Int J Solids Struct 46:4379–4395
Farrar CR, Worden K (2007) An introduction to structural health monitoring. Philos Trans R Soc A Math Phys Eng Sci 365:303–315. https://doi.org/10.1098/rsta.2006.1928
Hasançebi O, Azad SK (2015) Adaptive dimensional search: a new metaheuristic algorithm for discrete truss sizing optimization. Comput Struct 154:1–16. https://doi.org/10.1016/j.compstruc.2015.03.014
Kaveh A (2017a) Advances in metaheuristic algorithms for optimal design of structures. Springer, New York
Kaveh A (2017b) Applications of metaheuristic optimization algorithms in civil engineering. Springer, New York
Kaveh A, Bakhshpoori T (2016a) An accelerated water evaporation optimization formulation for discrete optimization of skeletal structures. Comput Struct 177:218–228. https://doi.org/10.1016/j.compstruc.2016.08.006
Kaveh A, Bakhshpoori T (2016b) Water evaporation optimization: a novel physically inspired optimization algorithm. Comput Struct 167:69–85. https://doi.org/10.1016/j.compstruc.2016.01.008
Kaveh A, Zolghadr A (2015) An improved CSS for damage detection of truss structures using changes in natural frequencies and mode shapes. Adv Eng Softw 80:93–100. https://doi.org/10.1016/j.advengsoft.2014.09.010
Kaveh A, Hosseini Vaez SR, Hosseini P, Fallah N (2016) Detection of damage in truss structures using Simplified Dolphin Echolocation algorithm based on modal data. Smart Struct Syst 18:983–1004
Kaveh A, Hosseini Vaez SR, Hosseini P (2017) Enhanced vibrating particles system algorithm for damage identification of truss structures. Scientia Iranica. https://doi.org/10.24200/sci.2017.4265
Kaveh A, Hosseini Vaez SR, Hosseini P (2018) Simplified dolphin echolocation algorithm for optimum design of frame. Smart Struct Syst 21:321–333
Kazemzadeh Azad S (2017) Enhanced hybrid metaheuristic algorithms for optimal sizing of steel truss structures with numerous discrete variables. Struct Multidiscipl Optim 55:2159–2180. https://doi.org/10.1007/s00158-016-1634-8
Kazemzadeh Azad S (2018) Seeding the initial population with feasible solutions in metaheuristic optimization of steel trusses. Eng Optim 50:89–105. https://doi.org/10.1080/0305215X.2017.1284833
Majumdar A, Maiti DK, Maity D (2012) Damage assessment of truss structures from changes in natural frequencies using ant colony optimization. Appl Math Comput 218:9759–9772. https://doi.org/10.1016/j.amc.2012.03.031
Masoumi M, Jamshidi E (2015) Damage diagnosis in steel structures with different noise levels via optimization algorithms. Int J Steel Struct 15:557–565
Nhamage IA, Lopez RH, Miguel LFF (2016) An improved hybrid optimization algorithm for vibration based-damage detection. Adv Eng Softw 93:47–64
Perera R, Torres R (2006) Structural damage detection via modal data with genetic algorithms. J Struct Eng 132:1491–1501
Perera R, Ruiz A, Manzano C (2009) Performance assessment of multicriteria damage identification genetic algorithms. Comput Struct 87:120–127. https://doi.org/10.1016/j.compstruc.2008.07.003
Rucka M (2011) Damage detection in beams using wavelet transform on higher vibration modes. J Theor Appl Mech 49(2):399–417
Salawu OS (1997) Detection of structural damage through changes in frequency: a review. Eng Struct 19:718–723. https://doi.org/10.1016/S0141-0296(96)00149-6
Sedaghati R (2005) Benchmark case studies in structural design optimization using the force method. Int J Solids Struct 42:5848–5871
Seyedpoor SM (2012) A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization. Int J Non-Linear Mech 47:1–8. https://doi.org/10.1016/j.ijnonlinmec.2011.07.011
Seyedpoor SM, Montazer M (2016) A two-stage damage detection method for truss structures using a modal residual vector based indicator and differential evolution algorithm. Smart Struct Syst 17:347–361
Sohn H, Farrar CR, Hemez FM, Shunk DD, Stinemates DW, Nadler BR, Czarnecki JJ (2003) A review of structural health monitoring literature: 1996–2001. Los Alamos National Laboratory, Los Alamos
Tejani GG, Savsani VJ, Patel VK (2016) Adaptive symbiotic organisms search (SOS) algorithm for structural design optimization. J Comput Design Eng 3:226–249. https://doi.org/10.1016/j.jcde.2016.02.003
Tejani GG, Savsani VJ, Bureerat S, Patel VK (2018a) Topology and size optimization of trusses with static and dynamic bounds by modified symbiotic organisms search. J Comput Civ Eng 32:04017085. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000741
Tejani GG, Savsani VJ, Patel VK, Mirjalili S (2018b) An improved heat transfer search algorithm for unconstrained optimization problems. J Comput Design Eng. https://doi.org/10.1016/j.jcde.2018.04.003
Tributsch A, Adam C (2014) A multi-step approach for identification of structural modifications based on operational modal analysis. Int J Struct Stab Dyn 14:1440004
Tributsch A, Adam C (2018) An enhanced energy vibration-based approach for damage detection and localization. Struct Control Health Monitor 25(1):1–16
Villalba JD, Laier JE (2012) Localising and quantifying damage by means of a multi-chromosome genetic algorithm. Adv Eng Softw 50:150–157. https://doi.org/10.1016/j.advengsoft.2012.02.002
Vo-Duy T, Ho-Huu V, Dang-Trung H, Nguyen-Thoi T (2016) A two-step approach for damage detection in laminated composite structures using modal strain energy method and an improved differential evolution algorithm. Compos Struct 147:42–53
Wang S, Tu Y, Wan R, Fang H (2012) Evaporation of tiny water aggregation on solid surfaces with different wetting properties. J Phys Chem B 116:13863–13867. https://doi.org/10.1021/jp302142s
Xiang J, Liang M (2012) A two-step approach to multi-damage detection for plate structures. Eng Fract Mech 91:73–86. https://doi.org/10.1016/j.engfracmech.2012.04.028
Zhu J, Huang M, Lu Z (2017) Bird mating optimizer for structural damage detection using a hybrid objective function. Proceedings Part I of the 6th international conference on advances in swarm and computational intelligence vol 9140, pp 49–56
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Kaveh, A., Hosseini Vaez, S.R., Hosseini, P. et al. A New Two-Phase Method for Damage Detection in Skeletal Structures. Iran J Sci Technol Trans Civ Eng 43 (Suppl 1), 49–65 (2019). https://doi.org/10.1007/s40996-018-0190-4
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DOI: https://doi.org/10.1007/s40996-018-0190-4