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Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy

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Abstract

This paper uses genetic algorithm to handle the topology and sizing optimization of truss structures, in which a sparse node matrix encoding approach is used and individual identification technique is employed to avoid duplicate structural analysis to save computation time. It is observed that NSGA-II could not improve the convergence of non-dominated front at latter generations when solving multi-objective topology and sizing optimization of truss structures. Therefore, an adaptive multi-island search strategy for multi-objective optimization problem (AMISS-MOP) is developed to enhance the convergence. Meanwhile, an elitist strategy based on archive set is introduced to reduce the size of non-dominated sorting to improve computation efficiency. Two numeric examples are presented to demonstrate the performance of AMISS-MOP. Results show that the global Pareto front could be found by AMISS-MOP, the convergence is improved as generation increases, and the time spent on non-dominated sorting is reduced.

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References

  • Balling RJ, Briggs RR et al (2006) Multiple optimum size/shape/topology designs for skeletal structures using a genetic algorithm. J Struct Eng 132(7):1158–1165

    Article  Google Scholar 

  • Cheng GD (2000) On singular optima of structural topology optimization of trusses. Journal of Dalian University of Technology 40(4):379–383

    MATH  Google Scholar 

  • Cheng GD, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Optim 13(4):258–266

    Article  Google Scholar 

  • Corne D, Knowles J et al (2000) The Pareto envelope-based selection algorithm for multi-objective optimization. Parallel Problem Solving from Nature PPSN VI:839–848

    Article  Google Scholar 

  • Deb K (2005) Chapter 10: multi-objective optimization search methodologies: introductory tutorials in optimization and decision support techniques. In: Burke EK, Kendall G (eds) Search methodologies. Springer, New York, pp 273–316

    Chapter  Google Scholar 

  • Deb K, Gulati S (2001) Design of truss-structures for minimum weight using genetic algorithms. Finite Elem Anal Des 37(5):447–465

    Article  MATH  Google Scholar 

  • Deb K, Jain S (2002) Running performance metrics for evolutionary multi-objective optimization. Technical Report 2002004, KanGAL, Indian Institute of Technology, Kanpur

  • Deb K, Agrawal S et al (2000) A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II. In: Parallel problem solving from nature PPSN VI. 6th international conference. Proceedings, Lecture notes in computer science, vol 1917, pp 849–858

  • Deb K, Pratap A et al (2001) Constrained test problems for multi-objective evolutionary optimization. In: Evolutionary multi-criterion optimization. First international conference, EMO 2001. Proceedings, Lecture notes in computer science, vol 1993, pp 284–298

  • Dominguez A, Stiharu I et al (2006) Practical design optimization of truss structures using the genetic algorithms. Res Eng Des 17(2):73–84

    Article  Google Scholar 

  • Dorn WS, Gomory RE et al (1964) Automatic design of optimal structures. J Méc 3(1):25–52

    Google Scholar 

  • Giger M, Ermanni P (2006) Evolutionary truss topology optimization using a graph-based parameterization concept. Struct Multidisc Optim 32(4):313–326

    Article  MathSciNet  Google Scholar 

  • Michell AG (1904) The limits of economy of material in frame-structures. Philos Mag 8(43–48):589–597

    Google Scholar 

  • Ohsaki M (1995) Genetic algorithm for topology optimization of trusses. Comput Struct 57(2):219–225

    Article  MATH  MathSciNet  Google Scholar 

  • Rajan SD (1995) Sizing, shape, and topology design optimization of trusses using genetic algorithm. J Struct Eng 121(10):1480–1487

    Article  Google Scholar 

  • Rozvany GI (2001) Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics. Struct Multidisc Optim 21(2):90–108

    Article  Google Scholar 

  • Rozvany GIN, Birker T (1994) On singular topologies in exact layout optimization. Struct Multidisc Optim 8(4):228–235

    Google Scholar 

  • Sindhya K, Deb K, Miettinen K (2008) A local search based evolutionary multi-objective optimization approach for fast and accurate convergence. In: Parallel problem solving from nature—PPSN X, Proceedings, vol 5199, pp 815–824

  • Soh CK, Yang J (1998) Optimal layout of bridge trusses by genetic algorithms. Comput-Aided Civil Infrastruct Eng 13(4):247–254

    Article  Google Scholar 

  • Su RY, Gui LJ et al (2009a) Topology and sizing optimization of truss structures using adaptive genetic algorithm with node matrix encoding. In: The 5th international conference on natural computation. Tianjin, China

  • Su RY, Gui LJ et al (2009b) Truss topology optimization using genetic algorithm with individual identification technique. The World Congress on Engineering, London

    Google Scholar 

  • Tang W, Tong L et al (2005) Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables. Int J Numer Methods Eng 62(13):1737–1762

    Article  MATH  Google Scholar 

  • Zitzler E, Thiele L (1999) Multiobjective evolutionary algorithms a comparative case study and the strength Pareto approach. IEEE Trans Evol Comput 3(4):257–271

    Article  Google Scholar 

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Acknowledgements

This work was supported in part by the National High Technology Research and Development Program (“863” Program) of China under Grant no. 2007AA04Z133. The authors are grateful to the support.

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Correspondence to Ruiyi Su.

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Su, R., Wang, X., Gui, L. et al. Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy. Struct Multidisc Optim 43, 275–286 (2011). https://doi.org/10.1007/s00158-010-0544-4

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  • DOI: https://doi.org/10.1007/s00158-010-0544-4

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