Abstract
This paper presents a methodology for the earthquake design of reinforced concrete (RC) bridge infrastructures based on the application of multi-objective evolutionary techniques. The purpose of the methodology is to allow better decision-making for the earthquake design of bridges by proposing optimized solutions which offer trade-offs between material quantities, performance/robustness, and cost. For this, two multi-objective problems (MOPs) were defined with two sets of objectives: the first objective set optimizes the amount of material used in the piers; the second set of objectives comprises a cost function and a performance metric. The NSGA-II algorithm was adapted and applied with real coded variables and multiple non-linear dynamic analyses performed in each fitness evaluation. The results of the runs show different Pareto fronts strongly associated with solution schema of pier-deck connections and steel distribution between piers. The results also allow to perceive the influence of ductility through the impact that certain variables in certain piers have on the performance of solutions. The importance of support conditions/connections between infrastructure and deck and of confinement of piers is clear. The results of the two MOPs show that sub-optimal solutions in terms of volume of materials used may be interesting in terms of reliability gain. In the end, the results of applying the methodology present solutions which offer trade-offs and information gain valuable for bridge design.
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References
Alam MI, Kanagarajan B, Jana P (2019) Optimal design of thin-walled open cross-section column for maximum buckling load. Thin-Walled Struct
Antoniou S, Pinho R (2004) Development and verification of a displacement-based adaptive pushover procedure. J Earthq Eng 8(5):643–661. https://doi.org/10.1080/13632460409350504
Arellano H, Tolentino D, Gómez R (2018) Optimum criss crossing cables in multi-span cable-stayed bridges using genetic algorithms. KSCE J Civ Eng. https://doi.org/10.1007/s12205-018-5736-2
Azizi M, Ejlali RG, Ghasemi SA, Talatahari S (2019) Upgraded whale optimization algorithm for fuzzy logic based vibration control of nonlinear steel structure. Eng Struct 192:53–70
Beume N, Fonseca CM, Lopez-Ibanez M, Paquete L, Vahrenhold J (2009) On the complexity of computing the hypervolume indicator. IEEE Trans Evol Comput 13(5):1075–1082. https://doi.org/10.1109/TEVC.2009.2015575
Bybordiani M, Kazemzadeh Azad S (2019) Optimum design of steel braced frames considering dynamic soil-structure interaction. Struct Multidiscip Optim. https://doi.org/10.1007/s00158-019-02260-4
Casarotti C, Pinho R (2007) An adaptive capacity spectrum method for assessment of bridges subjected to earthquake action. Bull Earthq Eng 5(3):377–390
Chikahiro Y, Ario I, Pawlowski P, Graczykowski C (2019) Optimization of reinforcement layout of scissor-type bridge using differential evolution algorithm. Computer-Aided Civil and Infrastructure Engineering
Chow CK, Yuen SY (2012) A multiobjective evolutionary algorithm that diversifies population by its density. IEEE Trans Evol Comput 16(2):149–172
Curadelli O, Amani M (2014) Integrated structure-passive control design of linear structures under seismic excitations. Eng Struct 81:256–264
Deb K (2001) Multi-objective optimization using evolutionary algorithms. John Wiley & Sons, Inc, New York
Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197
EN 1998-2 (2005) Eurocode 8: Design of structures for earthquake resistance - part 2: bridges. CEN - European Committee for Standardisation
EN1998-1 (2005) Eurocode 8: Design of structures for earthquake resistance - part 1: general rules, seismic actions and rules for buildings. CEN - European Committee for Standardisation
Esfandiari MJ, Urgessa GS, Sheikholarefin S, Manshadi SH (2018) Optimization of reinforced concrete frames subjected to historical time-history loadings using DMPSO algorithm. Struct Multidiscip Optim 58(5):2119–2134. https://doi.org/10.1007/s00158-018-2027-y
Fonseca CM, Fleming PJ (1996) On the performance assessment and comparison of stochastic multiobjective optimizers. 4th International Conference on Parallel Problem Solving from Nature, PPSN IV. Springer-Verlag, London, pp 584–593
Fonseca CM, Guerreiro AP, López-Ibáñez M, Paquete L (2011) On the computation of the empirical attainment function. In: Takahashi RHC, Deb K, Wanner EF, Greco S (eds) Evolutionary Multi-Criterion Optimization. EMO 2011. Lecture Notes in Computer Science, vol. 6576. Springer, Berlin, pp 106–120. https://doi.org/10.1007/978-3-642-19893-9_8
Fragiadakis M, Papadrakakis M (2008) Performance-based optimum seismic design of reinforced concrete structures. Earthq Eng Struct Dyn 37(6):825–844. https://doi.org/10.1002/eqe.786
Geem ZW, Lee KS (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82(9–10):781–798
Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68. https://doi.org/10.1177/003754970107600201
Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Boston: Addison-Wesley Longman Publishing Co., Inc.
Ha M-H, Vu Q-A, Truong V-H (2018) Optimum design of stay cables of steel cable-stayed bridges using nonlinear inelastic analysis and genetic algorithm. Structures
Kappos AJ, Saiidi MS, Aydinoglu MN, Isakovic T (2012) Seismic design and assessment of bridges, Inelastic Methods of Analysis and Case Studies (Geotechnical, Geological and Earthquake Engineering), vol 21. Springer, New York. https://doi.org/10.1007/978-94-007-3943-7
Lagaros ND, Papadrakakis M (2007) Robust seismic design optimization of steel structures. Structural and Multidisciplinary Optimization 33(6):457–469. https://doi.org/10.1007/s00158-006-0047-5
Lagaros ND, Tsompanakis Y (2007) Intelligent computational paradigms in earthquake engineering. Idea Group Inc, Hershey
Lee J (2019) Multi-objective optimization case study with active and passive design in building engineering. Struct Multidiscip Optim 59(2):507–519. https://doi.org/10.1007/s00158-018-2080-6
Liu M, Burns SA, Wen YK (2003) Optimal seismic design of steel frame buildings based on life cycle cost considerations. Earthq Eng Struct Dyn 32(9):1313–1332
Martínez CA, Curadelli O, Compagnoni ME (2014) Optimal placement of nonlinear hysteretic dampers on planar structures under seismic excitation. Engineering Structures
McKenna F, Fenves G (1999) OpenSEES-open system for earthquake engineering simulation. The Regents of the University of California, Berkeley
Mergos PE (2018) Efficient optimum seismic design of reinforced concrete frames with nonlinear structural analysis procedures. Struct Multidiscip Optim 58(6):2565–2581. https://doi.org/10.1007/s00158-018-2036-x
Papadrakakis M, Lagaros ND (2002) Reliability-based structural optimization using neural networks and Monte Carlo simulation. Comput Methods Appl Mech Eng 191(32):3491–3507
Parreiras R, Vasconcelos J (2009) Decision making in multiobjective optimization aided by the multicriteria tournament decision method. Nonlinear Anal Theory Methods Appl 71(12):191–198
Pedro R, Demarche J, Miguel L, Lopez R (2017) An efficient approach for the optimization of simply supported steel-concrete composite I-girder bridges. Adv Eng Softw 112:31–45
Plevris V, Mitropoulou CC, Lagaros ND (2012) Structural seismic design optimization and earthquake engineering: formulations and applications. Hershey: IGI Global
Priestley MN (2003) Myths and fallacies in earthquake engineering, revisited. IUSS Press, Pavia
Rao SS, Sundararaju K, Prakash BG, Balakrishna C (1992) Fuzzy goal programming approach for structural optimization. American Institute of Aeronautics and Astronautics
Rojas HA, Foley C, Pezeshk S (2011) Risk-based seismic design for optimal structural and nonstructural system performance. Earthquake Spectra 27(3):857–880
Sarma KC, Adeli H (2000) Fuzzy genetic algorithm for optimization of steel structures. J Struct Eng 126(5):596–604
SeismoSoft (2016) SeismoSpect v2016. Retrieved from http://www.seismosoft.com
Soh CK, Yang J (1996) Fuzzy controlled genetic algorithm search for shape optimization. J Comput Civ Eng 10(2):143–150
Tsompanakis Y, Papadrakakis M (2004) Large-scale reliability-based structural optimization. Struct Multidiscip Optim 26(6):429–440. https://doi.org/10.1007/s00158-003-0369-5
Tugilimana A, Coelho R, Thrall A (2019) An integrated design methodology for modular trusses including dynamic grouping, module spatial orientation, and topology optimization. Struct Multidiscip Optim. https://doi.org/10.1007/s00158-019-02230-w
Wang J-Q, Li S, Dezfuli FH, Alam MS (2019) Sensitivity analysis and multi-criteria optimization of SMA cable restrainers for longitudinal seismic protection of isolated simply supported highway bridges. Eng Struct 189:509–522
Zavala GR, Nebro AJ, Luna F, Coello Coello CA (2013) A survey of multi-objective metaheuristics applied to structural optimization. Struct Multidiscip Optim 49(4):537–558. https://doi.org/10.1007/s00158-013-0996-4
Zhang Q, Li H (2007) MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evol Comput 11(6):712–731. https://doi.org/10.1109/TEVC.2007.892759
Zhang Q, Chen JC, Chong PP (2004) Decision consolidation: criteria weight determination using multiple preference formats. Decis Support Syst 38(2):247–258
Zitzler E, Thiele L (1998) Multiobjective optimization using evolutionary algorithms-a comparative case study, 5th International Conference on Parallel Problem Solving from Nature, PPSN V. Springer-Verlag, London, UK, pp 292–304
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We acknowledge CERIS/DECivil from IST for all the support.
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Vítor T. Camacho has a grant (grant number PD/BD/127802/2016) from Fundação para a Ciência e Tecnologia (FCT).
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Camacho, V.T., Horta, N., Lopes, M. et al. Optimizing earthquake design of reinforced concrete bridge infrastructures based on evolutionary computation techniques. Struct Multidisc Optim 61, 1087–1105 (2020). https://doi.org/10.1007/s00158-019-02407-3
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DOI: https://doi.org/10.1007/s00158-019-02407-3