Abstract
Metaheuristic methods are commonly used in the problems which are treating optimization of structural systems as to the topology, shape and size. It is currently shown that metaheuristic methods can also be used in the analysis of structural system by an application of the well-known mechanical principle of minimum energy. This method is called total potential optimization using metaheuristic methods (TPO/MA), and it is shown that this method has certain advantages in dealing with nonlinear problems and with the problems where classical methods including the Finite Element Method has some difficulties. In this paper, a retaining wall example that is generated via plane-strain members is presented and hybrid algorithms using the Jaya algorithm are investigated. The hybrid algorithms may have advantages on the needed iteration number to reach the final value.
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References
Toklu, Y.C.: Nonlinear analysis of trusses through energy minimization. Comput. Struct. 82(20–21), 1581–1589 (2004)
Toklu, Y.C., Temür, R., Bekdaş, G.: Computation of nonunique solutions for trusses undergoing large deflections. Int. J. Comput. Meth. 12(03), 1550022 (2015)
Nigdeli, S.M., Bekdaş, G., Toklu, Y.C.: Total potential energy minimization using metaheuristic algorithms for spatial cable systems with increasing second order effects. In: 12th International Congress on Mechanics (HSTAM2019), pp. 22–25, September 2019
Bekdaş, G., Kayabekir, A.E., Nigdeli, S.M., Toklu, Y.C.: Advanced energy-based analyses of trusses employing hybrid metaheuristics. Struct. Des. Tall Spec. Build. 28(9), e1609 (2019)
Toklu, Y.C., Uzun, F.: Analysis of tensegric structures by total potential optimization using metaheuristic algorithms. J. Aerosp. Eng. 29(5), 04016023 (2016)
Toklu, Y.C., et al.: Total potential optimization using metaheuristic algorithms for solving nonlinear plane strain systems. Appl. Sci. 11(7), 3220 (2021)
Toklu, Y.C., Bekdaş, G., Kayabekir, A.E., Nigdeli, S.M., Yücel, M.: Total potential optimization using hybrid metaheuristics: a tunnel problem solved via plane stress members. In: Nigdeli, S.M., Bekdaş, G., Kayabekir, A.E., Yucel, M. (eds.) Advances in Structural Engineering—Optimization. SSDC, vol. 326, pp. 221–236. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-61848-3_8
Toklu, Y.C., Kayabekir, A.E., Bekdaş, G., Nigdeli, S.M., Yücel, M.: Analysis of plane-stress systems via total potential optimization method considering nonlinear behavior. J. Struct. Eng. 146(11), 04020249 (2020)
Toklu, Y.C., Bekdaş, G., Kayabekir, A.E., Nigdeli, S.M., Yücel, M.: Total potential optimization using metaheuristics: analysis of cantilever beam via plane-stress members. In: Nigdeli, S.M., Kim, J.H., Bekdaş, G., Yadav, A. (eds.) ICHSA 2020. AISC, vol. 1275, pp. 127–138. Springer, Singapore (2021). https://doi.org/10.1007/978-981-15-8603-3_12
Kayabekir, A.E., Toklu, Y.C., Bekdaş, G., Nigdeli, S.M., Yücel, M., Geem, Z.W.: A novel hybrid harmony search approach for the analysis of plane stress systems via total potential optimization. Appl. Sci. 10(7), 2301 (2020)
Toklu, Y.C., Bekdas, G., Nigdeli, S.M.: Metaheuristics for Structural Design and Analysis. Wiley, Hoboken (2021)
Yang, X.-S.: Flower pollination algorithm for global optimization. In: Durand-Lose, J., Jonoska, N. (eds.) UCNC 2012. LNCS, vol. 7445, pp. 240–249. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-32894-7_27
Rao, R.: Jaya: a simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int. J. Ind. Eng. Comput. 7(1), 19–34 (2016)
Rao, R.V., Savsani, V.J., Vakharia, D.P.: Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput. Aided Des. 43(3), 303–315 (2011)
Topçu, A.: Sonlu Elemanlar Metodu, Eskişehir Osmangazi Üniversitesi, April 2019. http://mmf2.ogu.edu.tr/atopcu/
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This study was funded by Scientific Research Projects Coordination Unit of Istanbul University-Cerrahpasa. Project number: FYO-2019-32735.
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Nigdeli, S.M., Bekdaş, G., Yücel, M., Kayabekir, A.E., Toklu, Y.C. (2022). Analysis of Non-linear Structural Systems via Hybrid Algorithms. In: Vasant, P., Zelinka, I., Weber, GW. (eds) Intelligent Computing & Optimization. ICO 2021. Lecture Notes in Networks and Systems, vol 371. Springer, Cham. https://doi.org/10.1007/978-3-030-93247-3_53
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