Abstract
A new methodology for the performance-based optimum design of steel structures subjected to seismic loading considering inelastic behavior is proposed. The importance of considering life-cycle cost as an additional objective to the initial structural cost objective function in the context of multiobjective optimization is also investigated. Life-cycle cost is considered to take into account during the design phase the impact of future earthquakes. For the solution of the multiobjective optimization problem, Evolutionary Algorithms and in particular an algorithm based on Evolution Strategies, specifically tailored to meet the characteristics of the problem at hand, are implemented. The constraints of the optimization problem are based on the provisions of European design codes, while additional constraints are imposed by means of pushover analysis to control the load and deformation capacity of the structure.
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References
AISC (2001) Manual of steel construction, load and resistance factor design, 3rd edn. AISC, USA
Argyris J, Tenek L, Mattsson A (1998) BEC: a 2-node fast converging shear-deformable isotropic and composite beam element based on 6 rigid-body and 6 straining modes. Comput Methods Appl Mech Eng 152(3–4):281–336
ATC-13 (1985) Earthquake damage evaluation data for California. Applied Technology Council, Redwood City, California
ATC-40 (1996) Seismic evaluation and retrofit of concrete buildings. California Seismic Safety Commission, Report No. SSC 96-01. Applied Technology Council, Redwood City, California, USA
Chintanapakdee C, Chopra AK (2003) Evaluation of modal pushover analysis using generic frames. Earthq Eng Struct Dyn 32(3):417–442
Coello Coello CA (2000) An updated survey of GA-based multiobjective optimization techniques. ACM Comput Surv 32(2):109–143
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
Eurocode 3 (1992) Design of steel structures, part 1.1: general rules for buildings. CEN, ENV 1993-1-1
Eurocode 8 (1994) Design provisions for earthquake resistant structures. CEN, ENV 1998-1-1/2/3
FEMA-356 (2000) Prestandard and commentary for the seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington, DC
Fonseca CM, Fleming PJ (1995) An overview of evolutionary algorithms in multi-objective optimization. Evol Comp 3(1):1–16
Fragiadakis M, Lagaros ND, Papadrakakis M (2006) Performance based earthquake engineering using structural optimization tools. International Journal of Reliability and Safety (in press)
Frangopol DM, Lin K-Y, Estes A (1997) Life-cycle cost design of deteriorating structures. J Struct Eng 123(10):1390–1401
Ganzerli S, Pantelides CP, Reaveley LD (2000) Performance-based design using structural optimization. Earthq Eng Struct Dyn 29(11):1677–1690
Horn J, Nafpliotis N, Goldberg DE (1994) A nicked pareto genetic algorithm for multiobjective optimization. In: Proceedings of the 1st IEEE conference on evolutionary computation, Piscataway, NJ
Khajehpour S, Grierson DE (2003) Profitability versus safety of high-rise office buildings. Struct Multidiscipl Optim 25(4):279–293
Lagaros ND, Fragiadakis M, Papadrakakis M (2004) Optimum design of shell structures with stiffening beams. AIAA J 42(1):175–184
Li G, Cheng G (2003) Damage-reduction-based structural optimum design for seismic RC frames. Struct Multidiscipl Optim 25(4):294–306
Liu M, Burns SA, Wen YK (2005) Multiobjective optimization for performance-based seismic design of steel moment frame structures. Earthq Eng Struct Dyn 34(3):289–306
Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidiscipl Optim 26(6):369–395
Papadrakakis M, Lagaros ND, Plevris V (2002) Multi-objective optimization of space structures under static and seismic loading conditions. Eng Opt J 34:645–669
Papaioannou I, Fragiadakis M, Papadrakakis M (2005) Inelastic analysis of framed structures using the fiber approach. Proceedings of the 5th international congress on computational mechanics (GRACM 05), Limassol, Cyprus, 29 June–1 July
Sanchez-Silva M, Rackwitz R (2004) Socioeconomic implications of life quality index in design of optimum structures to withstand earthquakes. J Struct Eng 130(6):969–977
Sarma KC, Adeli H (2002) Life-cycle cost optimization of steel structures. Int J Numer Methods Eng 55(12):1451–1462
Schaffer JD (1984) Multiple objective optimization with vector evaluated genetic algorithms. Ph.D. Thesis, Vanderbilt University
SEAOC Vision 2000 (1995) A framework of performance-based seismic engineering of buildings. Structural Engineers Association of California, Sacramento, California, USA
Warszawski A, Gluck J, Segal D (1996) Economic evaluation of design codes-case of seismic design. J Struct Eng 122(12):1400–1408
Wen YK, Kang YJ (2001) Minimum building life-cycle cost design criteria. IÉ: Applications. J Struct Eng 127(3):338–346
Zitzler E, Deb K, Thiele L (2000) Comparison of multiobjective evolutionary algorithms: empirical results. Evol Comput 8(2):173–195
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Fragiadakis, M., Lagaros, N. & Papadrakakis, M. Performance-based multiobjective optimum design of steel structures considering life-cycle cost. Struct Multidisc Optim 32, 1–11 (2006). https://doi.org/10.1007/s00158-006-0009-y
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DOI: https://doi.org/10.1007/s00158-006-0009-y