Skip to main content
Log in

A guided evolution strategy for discrete sizing optimization of space steel frames

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

Abstract

In this paper, a new design-driven hybrid optimization algorithm called guided evolution strategy (GES) is proposed for a reliable and rapid optimum design of space steel frames. The rationale behind the proposed GES algorithm is to improve convergence characteristics of the evolution strategies (ESs) optimization method by guiding search process according to the satisfaction/violation of strength constraints in a previous design. This is referred to as guided mutation, which is introduced as an auxiliary tool to a stochastic mutation scheme for accelerating the convergence speed of the optimization algorithm. The efficiency of the GES algorithm is investigated and quantified using design examples where sizing optimization of two space steel frames are achieved under strength and displacement constraints imposed according to ANSI/AISC 360-10 (Specification for structural steel buildings, ANSI/AISC 360-10, Illinois, 2010) and ASCE/SEI 7-10 (Minimum design loads for buildings and other structures, ASCE/SEI 7-10, Reston, 2010) design specifications. The solutions produced to these design examples with the GES algorithm are compared to those of some selected metaheuristic search techniques in terms of accuracy of the obtained solutions as well as speed of convergence to the optimum designs. It is shown that the GES algorithm has improved search abilities with respect to other employed techniques.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  • Ahrari A, Atai AA (2013) Fully stressed design evolution strategy for shape and size optimization of truss structures. Comput Struct 123:58–67

    Google Scholar 

  • Ahrari A, Deb K (2016) An improved fully stressed design evolution strategy for layout optimization of truss structures. Comput Struct 164:127–144

    Google Scholar 

  • Ahrari A, Atai AA, Deb K (2015) Simultaneous topology, shape and size optimization of truss structures by fully stressed design based on evolution strategy. Eng Optim 47(8):1063–1084

    MathSciNet  Google Scholar 

  • ANSI, AISC 360-10 (2010) Specification for structural steel buildings. ANSI, AISC 360-10, Illinois

    Google Scholar 

  • ASCE, SEI 7–10 (2010) Minimum design loads for buildings and other structures. ASCE, SEI 7–10, Reston

    Google Scholar 

  • Aydoğdu İ, Akın A, Saka MP (2016) Design optimization of real-world steel space frames using artificial bee colony algorithm with levy flight distribution. Adv Eng Softw 92:1–14

    Google Scholar 

  • Bäck T, Schütz M (1995) Evolutionary strategies for mixed-integer optimization of optical multilayer systems. In: McDonnel JR, Reynolds RG, Fogel DB (eds) Proceedings of the fourth annual conference on evolutionary programming. MIT Press, Cambridge, pp 33–51

    Google Scholar 

  • Cai J, Thierauf G (1993) Discrete structural optimization using evolution strategies. In: Topping BHV, Khan AI (eds) Neural networks and combinatorial optimization in civil and structural engineering. Civil-Comp, Edinburgh, pp 95–100

    Google Scholar 

  • Degertekin SO, Tutar H (2022) Optimized seismic design of planar and spatial steel frames using the hybrid learning based Jaya algorithm. Adv Eng Softw 171:103172

    Google Scholar 

  • Elvin A, Walls R, Cromberge D (2009) Optimising structures using the principle of virtual work. J S Afr Inst Civil Eng 51(2):11–19

    Google Scholar 

  • Erol OK, Eksin I (2006) A new optimization method: big bang–big crunch. Adv Eng Softw 37(2):106–111

    Google Scholar 

  • Gallagher RH, Zienkiewicz OC (1973) Optimum structural design: theory and applications. Wiley, London

    MATH  Google Scholar 

  • Gholizadeh S, Baghchevan A (2017) Multi-objective seismic design optimization of steel frames by a chaotic meta-heuristic algorithm. Eng Comput 33(4):1045–1060

    Google Scholar 

  • Gholizadeh S, Fattahi F (2014) Design optimization of tall steel buildings by a modified particle swarm algorithm. Struct Des Tall Spec Build 23(4):285–301

    Google Scholar 

  • Gholizadeh S, Milany A (2018) An improved fireworks algorithm for discrete sizing optimization of steel skeletal structures. Eng Optim 50(11):1829–1849

    MathSciNet  MATH  Google Scholar 

  • Hasançebi O (2007) Discrete approaches in evolution strategies based optimum design of steel frames. Struct Eng Mech 26(2):191–210

    Google Scholar 

  • Hasançebi O, Kazemzadeh Azad S (2012) An exponential big bang-big crunch algorithm for discrete design optimization of steel frames. Comput Struct 110–111:167–179

    Google Scholar 

  • Hasançebi O, Çarbaş S, Doğan E, Erdal F, Saka MP (2010) Comparison of non-deterministic search techniques in the optimum design of real size steel frames. Comput Struct 88(17–18):1033–1048

    Google Scholar 

  • Hasançebi O, Bahçecioǧlu T, Kurç Ö, Saka MP (2011) Optimum design of high-rise steel buildings using an evolution strategy integrated parallel algorithm. Comput Struct 89(21–22):2037–2051

    Google Scholar 

  • Kashani AR, Camp CV, Rostamian M, Azizi K, Gandomi AH (2022) Population-based optimization in structural engineering: a review. Artif Intell Rev 55:345–452

    Google Scholar 

  • Kaveh A, Bakhshpoori T, Azimi M (2015) Seismic optimal design of 3D steel frames using cuckoo search algorithm. Struct Des Tall Special Build 24(3):210–227

    Google Scholar 

  • Kazemzadeh Azad S (2021) Design optimization of real-size steel frames using monitored convergence curve. Struct Multidisc Optim 63(1):267–288

    Google Scholar 

  • Kazemzadeh Azad S, Hasançebi O (2015) Computationally efficient discrete sizing of steel frames via guided stochastic search heuristic. Comput Struct 156:12–28

    Google Scholar 

  • Kazemzadeh Azad S, Hasançebi O, Kazemzadeh Azad S (2013) Upper bound strategy for metaheuristic-based design optimization of steel frames. Adv Eng Softw 57:19–32

    Google Scholar 

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN'95-international conference on neural networks. IEEE Press, vol 4, pp 1942–1948

  • Korucu A (2022) Developing a structural optimization software for efficient and practical optimum design of real-world steel structures. PhD Thesis, Middle East Technical University, Ankara

  • Lamberti L, Pappalettere C (2011) Metaheuristic design optimization of skeletal structures: a review. Comput Technol Rev 4:1–32

    Google Scholar 

  • Murren P, Khandelwal K (2014) Design-driven harmony search (DDHS) in steel frame optimization. Eng Struct 59:798–808

    Google Scholar 

  • Nouhi B, Jahani Y, Talatahari S, Gandomi AH (2022) A swarm optimizer with modified feasible-based mechanism for optimum structure in steel industry. Decis Anal J 5:9

    Google Scholar 

  • Patnaik SN, Berke L, Gallagher RH (1991) Integrated force method versus displacement method for finite element analysis. Comput Struct 38(4):377–407

    MATH  Google Scholar 

  • Patnaik SN, Gendy AS, Berke L, Hopkins DA (1998) Modified fully utilized design (MFUD) method for stress and displacement constraints. Int J Numer Methods Eng 41(7):1171–1194

    MATH  Google Scholar 

  • Razani R (1965) Behavior of fully stressed design of structures and its relationship to minimum-weight design. AIAA J 3(12):2262–2268

    Google Scholar 

  • Rechenberg I (1965) Cybernetic solution path of an experimental problem. Royal Aircraft Establishment Library Translation 1122

  • Rechenberg I (1973) Evolutionsstrategie: Optimierung Technischer Systeme nach Prinzipien der Biologischen Evolution [Evolution strategy: optimization of technical systems according to the principles of biological evolution]. Frommann-Holzboog Verlag, Stuttgart

    Google Scholar 

  • Renkavieski C, Parpinelli RS (2021) Meta-heuristic algorithms to truss optimization: Literature mapping and application. Expert Syst Appl 182:115197

    Google Scholar 

  • Rudolph G (1994) An evolutionary algorithm for integer programming. In: Davidor Y, Schwefel H-P, Manner R (eds) Proceedings of third conference on parallel problem solving from nature. Springer, Heidelberg, pp 139–148

    Google Scholar 

  • Sadrekarimi N, Talatahari S, Azar BF, Gandomi AH (2023) A surrogate merit function developed for structural weight optimization problems. Soft Comput 27(3):1533–1563

    Google Scholar 

  • Saka MP (2007) Optimum design of steel frames using stochastic search techniques based on natural phenomena: a review. In: Topping BHV (ed) Civil engineering computations: tools and techniques. Saxe-Coburg Publications, Stirlingshire, pp 105–147

    Google Scholar 

  • Saka MP, Geem ZW (2013) Mathematical and metaheuristic applications in design optimization of steel frame structures: An extensive review. Math Probl Eng 2013:271031

    MATH  Google Scholar 

  • Schwefel H-P (1965) Kybernetische Evolution als Strategie der Experimentellen Forschung in der Strömungstechnik. Diplomarbeit, Technische Universität, Berlin

    Google Scholar 

  • Schwefel H-P (1977) Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie. Vol. 26, Interdisciplinary system research. Birkhäuser Verlag, Basel

    MATH  Google Scholar 

  • Schwefel H-P (1981) Numerical optimization of computer models. Wiley, Chichester

    MATH  Google Scholar 

  • Tabak EI, Wright PM (1981) Optimality criteria method for building frames. J Struct Div 107(7):1327–1342

    Google Scholar 

  • Talatahari S, Azizi M (2020) Optimal design of real-size building structures using quantum-behaved developed swarm optimizer. Struct Des Tall Spec Build 29(11):e1747

    Google Scholar 

  • Talatahari S, Jalili S, Azizi M (2021) Optimum design of steel building structures using migration-based vibrating particles system. Struct 33:1394–1413

    Google Scholar 

  • Talatahari S, Veladi H, Azizi M, Moutabi-Alavi A, Rahnema S (2022) Optimum structural design of full-scale steel buildings using drift-tribe-charged system search. Earthq Eng Eng Vib 21(3):825–842

    Google Scholar 

  • Turkey Council of Higher Education (2023) Thesis Center, https://tez.yok.gov.tr/UlusalTezMerkezi/tarama.jsp. Accessed 25 Apr 2023

  • Walls R, Elvin A (2010) Optimizing structures subject to multiple deflection constraints and load cases using the principle of virtual work. J Struct Eng 136(11):1444–1452

    Google Scholar 

  • Yang XS (2010) Nature-inspired metaheuristic algorithms. Luniver Press, Beckington

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank Dr. Hasan Eser from Middle East Technical University for providing the finite element models of the steel frames used in this study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Oğuzhan Hasançebi.

Ethics declarations

Conflict of interest

The author declares that he has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Replication of results

The data for producing the presented results will be made available upon request.

Additional information

Responsible Editor: Gang Li

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (PDF 1499 kb)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Korucu, A., Hasançebi, O. A guided evolution strategy for discrete sizing optimization of space steel frames. Struct Multidisc Optim 66, 183 (2023). https://doi.org/10.1007/s00158-023-03640-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00158-023-03640-7

Keywords

Navigation