Abstract
In this study, multi-objective optimization is applied to implement performance-based design of steel moment-resisting frame (SMRF) structures. In order to efficiently achieve this purpose, a chaotic multi-objective firefly algorithm (CMOFA) is proposed to find the Pareto optimal front for the multi-objective performance-based optimum design (MO-PBOD) problem of SMRFs. The structural weight and the maximum inter-story drift at performance levels are taken as the conflicting objective functions of the MO-PBOD problem which should be optimized simultaneously subject to serviceability and ultimate limit-state constraints. In order to illustrate the efficiency of the proposed CMOFA meta-heuristic, two benchmark truss examples and three MO-PBOD examples of SMRFs are presented. The numerical results demonstrate the better computational performance of the proposed CMOFA meta-heuristic in comparison with some existing multi-objective algorithms.
Similar content being viewed by others
References
FEMA-356 (2000) Prestandard and commentary for the seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington
Gholizadeh S (2015) Performance-based optimum seismic design of steel structures by a modified firefly algorithm and a new neural network. Adv Eng Softw 81:50–65
Gholizadeh S (2013) Layout optimization of truss structures by hybridizing cellular automata and particle swarm optimization. Comput Struct 125:86–99
Gandomi AH, Talatahari S, Yang XS, Deb S (2012) Design optimization of truss structures using cuckoo search algorithm. Struct Des Tall Spec Build 22:1330–1349
Yang XS (2009) Firefly algorithms for multimodal optimization. In: Watanabe O, Zeugmann T (eds) Stochastic algorithms: foundations and applications. SAGA 2009, Lecture Notes in Computer Science, 5792. Springer, Berlin, pp 169–178
Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6:182–197
Coello CAC, Pulido GT, Lechuga MS (2004) Handling multiple objectives with particle swarm optimization. IEEE Trans Evol Comput 8:256–279
Kaveh A, Laknejadi K (2013) A new multi-swarm multi-objective optimization method for structural design. Adv Eng Softw 58:54–69
Yang XS, Karamanoglu M, He X (2014) Flower pollination algorithm: a novel approach for multiobjective optimization. Eng Optim 46:1222–1237
Gholizadeh S, Milani A (2016) Optimal performance-based design of steel frames using advanced metaheuristics. Asian J Civ Eng 17:607–623
Papadrakakis M, Lagaros ND, Plevris V (2002) Multi-objective optimization of skeletal structures under static and seismic loading conditions. Eng Optim 34:645–669
Liu M, Burns SA, Wen YK (2005) Multiobjective optimization for performance-based seismic design of steel moment frame structures. Earthq Eng Struct Dyn 34:289–306
Fragiadakis M, Lagaros ND, Papadrakakis M (2006) Performance-based multiobjective optimum design of steel structures considering life-cycle cost. Struct Multidisc Optim 32:1–11
Saadat S, Camp CV, Pezeshk S (2014) Seismic performance-based design optimization considering direct economic loss and direct social loss. Eng Struct 76:193–201
Pecora L, Carroll T (1990) Synchronization in chaotic system. Phys Rev Lett 4:821–824
Gandomi AH, Yang XS (2014) Chaotic bat algorithm. J Comput Sci 5:224–232
Talatahari S, Sheikholeslami R, Farahmand Azar B, Gandomi AH (2012) Imperialist competitive algorithm combined with chaos for global optimization. Commun Nonlinear Sci Numer Simul 17:1312–1319
Gandomi AH, Yun GJ, Yang XS, Talatahari S (2013) Chaos-enhanced accelerated particle swarm optimization. Commun Nonlinear Sci Numer Simul 18:327–340
Wang GG, Guo L, Gandomi AH, Hao GS, Wang H (2014) Chaotic krill herd algorithm. Inf Sci 274:17–34
Wang GG, Deb S, Gandomi AH, Zhang Z, Alavi AH (2016) Chaotic cuckoo search. Soft Comput 20:3349–3362
Gholizadeh S, Poorhoseini H (2016) Seismic layout optimization of steel braced frames by an improved dolphin echolocation algorithm. Struct Multidisc Optim 54:1011–1029.
FEMA P-58-1 (2012) Seismic performance assessment of buildings. Federal Emergency Management Agency, Washington
Mazzoni S, Mckenna F, Fenves GL (2006) OpenSees command language manual. Pacific Earthquake Engineering Research (PEER) Center, Berkeley
LRFD-AISC (2001) Manual of steel construction. Load and resistance factor design. American Institute of Steel Construction, Chicago
Hasancebi O, Bahcecioglu T, Kurc O, Saka MP (2011) Optimum design of high-rise steel buildings using an evolution strategy integrated parallel algorithm. Comput Struct 89:2037–2051
Gholizadeh S, Fattahi F (2014) Design optimization of tall steel buildings by a modified particle swarm algorithm. Struct Des Tall Spec Build 23:285–301
Coello CAC, Van Veldhuizen DA, Lamont GB (2002) Evolutionary algorithms for solving multi-objective problems. Kluwer Academic Publishers, New York
Yang XS (2013) Multiobjective firefly algorithm for continuous optimization. Eng Comput 29:175–184
Lin JH, Chou CW, Yang CH, Tsai HL (2012) A chaotic Levy flight bat algorithm for parameter estimation in nonlinear dynamic biological systems. J Comput Inf Tech 2:56–63
Gandomi AH, Yang XS, Talatahari S, Alavi AH (2013) Firefly algorithm with chaos. Commun Nonlinear Sci Numer Simul 18:89–98
Chen G, Liu L, Song P, Du Y (2014) Chaotic improved PSO-based multi-objective optimization for minimization of power losses and L index in power systems. Energy Convers Manag 86:548–560
Pana I, Das S (2015) Fractional-order load-frequency control of interconnected power systems using chaotic multi-objective optimization. Appl Soft Comput 29:328–344
He D, He C, Jiang L, Zhu H, Hu G (2001) Chaotic characteristic of a one-dimensional iterative map with infinite collapses. IEEE Circuits Syst 48: 900–906
Li Y, Deng S, Xiao D (2011) A novel Hash algorithm construction based on chaotic neural network. Neural Comput Appl 20:133–141
Ott E (2002) Chaos in dynamical systems. Cambridge University Press, Cambridge
Zitzler E, Deb K, Thiele L (2000) Comparison of multi-objective evolutionary algorithms: empirical results. Evol Comput 8:173–195
HAZUS-MH MR1 (2003) Multi-hazard Loss estimation methodology earthquake model. FEMA-National Institute of Building Sciences, Washington
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gholizadeh, S., Baghchevan, A. Multi-objective seismic design optimization of steel frames by a chaotic meta-heuristic algorithm. Engineering with Computers 33, 1045–1060 (2017). https://doi.org/10.1007/s00366-017-0515-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-017-0515-0