PSI - Issue 37

8

Author name / Structural Integrity Procedia 00 (2019) 000 – 000

A.F.F. Rodrigues et al. / Procedia Structural Integrity 37 (2022) 684–691

691

Table 12. Function values (Fval), number of iterations (Niter), number of function evaluations (NFEs) and relative computational time (RCTime) for each algorithm for SP-3 using objective function in Eq. (8).

Fval

Niter

NFEs 9850 4150 50000 50000 48400

RCTime

GA

142.04 136.20 136.41 176.77 136.20

196

8.37 1.00

PSO

82

GWO

1000 1000

18.52 17.87 15.90

FA CS

968

5. Conclusions The proposed method uses a derivative-free approach based on metaheuristic nature-inspired algorithms. One of the major advantages of this method is that it does not require an initial guess of the elastic constants to be computed. Another advantage of the method is that it does not requires the determination of gradients. Furthermore, it can be easily adapted to obtain the elastic constants of different materials. The most significant disadvantage is that for certain initial sets of search agents the computation time needed solve the optimization problem is relatively large. Acknowledgements The authors would like to acknowledge the support of FCT, through IDMEC, under LAETA, project UIDB/50022/2020. References Araújo, A.L., Mota Soares, C.M., Moreira De Freitas, M.J., 1995. Characterization of material parameters of composite plate specimens using optimization and experimental vibrational data. Compos. Part B Eng. 27, 185 – 191. https://doi.org/10.1016/1359-8368(95)00050-X Eberhart, R., Kennedy, J., 1995. A New Optimizer Using Particle Swarm Theory 39 – 43. Fister, I., Yang, X.S., Brest, J., Fister, D., 2013. A brief review of nature-inspired algorithms for optimization. Elektroteh. Vestnik/Electrotechnical Rev. 80, 116 – 122. Holland, J.H., 1992. Genetic algorithms. Sci. Am. 267, 66 – 73. Hussain, K., Mohd Salleh, M.N., Cheng, S., Shi, Y., 2019. Metaheuristic research: a comprehensive survey. Artif. Intell. Rev. 52, 2191 – 2233. https://doi.org/10.1007/s10462-017-9605-z Igea, F., Cicirello, A., 2020. Part-to-part variability assessment of material properties for flat thin orthotropic rectangular panels using Chladni patterns. Mech. Syst. Signal Process. 139, 106559. https://doi.org/10.1016/j.ymssp.2019.106559 Larsson, D., 1997. Using modal analysis for estimation of anisotropic material constants. J. Eng. Mech. 123, 222 – 229, https://doi.org/10.1061/(asce)0733-9399(1997)123:3(222) Lopes, H., dos Santos, J.V.A., Katunin, A., 2019. Identification of material properties of a laminated plate from measurements of natural frequencies and modal rotations. Procedia Struct. Integr. 17, 971 – 978. https://doi.org/10.1016/j.prostr.2019.08.129 M. Almufti, S., 2019. Historical survey on metaheuristics algorithms. Int. J. Sci. World 7, 1. https://doi.org/10.14419/ijsw.v7i1.29497 Mirjalili, S, Mirjalili, S M, Lewis, A, Optimizer, G.W., Mirjalili, Seyedali, Mirjalili, Seyed Mohammad, Lewis, Andrew, Technology, C., Beheshti, S., 2014. Grey Wolf Optimizer 1 1 69, 46 – 61. Reddy, J.N., 2004. Mechanics of Laminated Composite Plates and Shells, Laminated Composite Plates and Shells. CRC Press. https://doi.org/10.1201/b12409 Soares, C.M.M., de Freitas, M.M., Araújo, A.L., Pedersen, P., 1993. Identification of material properties of composite plate specimens. Compos. Struct. 25, 277 – 285. https://doi.org/10.1016/0263-8223(93)90174-O Tam, J.H., Ong, Z.C., Ismail, Z., Ang, B.C., Khoo, S.Y., 2017. Identification of material properties of composite materials using nondestructive vibrational evaluation approaches: A review. Mech. Adv. Mater. Struct. 24, 971 – 986. https://doi.org/10.1080/15376494.2016.1196798 Wahde, M., 2008. Biologically Inspired Optimization Methods, WIT. Yang, X., 2010. Nature-Inspired Metaheuristic Algorithms Second Edition, Luniver Press. https://doi.org/10.1016/j.chemosphere.2009.08.026 Yang, X.S., 2009. Firefly algorithms for multimodal optimization. Lect. Notes Comput. Sci. (including Subser. Lect. Notes Artif. Intell. Lect. Notes Bioinformatics) 5792 LNCS, 169 – 178. https://doi.org/10.1007/978-3-642-04944-6_14 Yang, X.S., Deb, S., 2009. Cuckoo search via Lévy flights. 2009 World Congr. Nat. Biol. Inspired Comput. NABIC 2009 - Proc. 210 – 214. https://doi.org/10.1109/NABIC.2009.5393690