Skip to main content
Log in

Performance-based multiobjective optimum design of steel structures considering life-cycle cost

  • Research paper
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • AISC (2001) Manual of steel construction, load and resistance factor design, 3rd edn. AISC, USA

    Google Scholar 

  • 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

    Article  MATH  Google Scholar 

  • ATC-13 (1985) Earthquake damage evaluation data for California. Applied Technology Council, Redwood City, California

    Google Scholar 

  • 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

    Google Scholar 

  • Chintanapakdee C, Chopra AK (2003) Evaluation of modal pushover analysis using generic frames. Earthq Eng Struct Dyn 32(3):417–442

    Article  Google Scholar 

  • Coello Coello CA (2000) An updated survey of GA-based multiobjective optimization techniques. ACM Comput Surv 32(2):109–143

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • Fonseca CM, Fleming PJ (1995) An overview of evolutionary algorithms in multi-objective optimization. Evol Comp 3(1):1–16

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Ganzerli S, Pantelides CP, Reaveley LD (2000) Performance-based design using structural optimization. Earthq Eng Struct Dyn 29(11):1677–1690

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Lagaros ND, Fragiadakis M, Papadrakakis M (2004) Optimum design of shell structures with stiffening beams. AIAA J 42(1):175–184

    Article  Google Scholar 

  • Li G, Cheng G (2003) Damage-reduction-based structural optimum design for seismic RC frames. Struct Multidiscipl Optim 25(4):294–306

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidiscipl Optim 26(6):369–395

    Article  MathSciNet  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Sarma KC, Adeli H (2002) Life-cycle cost optimization of steel structures. Int J Numer Methods Eng 55(12):1451–1462

    Article  MATH  Google Scholar 

  • 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

    Article  Google Scholar 

  • Wen YK, Kang YJ (2001) Minimum building life-cycle cost design criteria. IÉ: Applications. J Struct Eng 127(3):338–346

    Article  Google Scholar 

  • Zitzler E, Deb K, Thiele L (2000) Comparison of multiobjective evolutionary algorithms: empirical results. Evol Comput 8(2):173–195

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Manolis Papadrakakis.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-006-0009-y

Keywords

Navigation