Skip to main content
Log in

Topology optimization of trusses with local stability constraints and multiple loading conditions—a heuristic approach

  • Research Papers
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

In truss topology optimization against buckling constraints, the extension from considering a single load case to include multiple loading conditions remains an unsolved problem in the ground structure approach. The present paper suggests a heuristic method attempting to take the multiple load situation into account. A method by Pedersen (1993, 1994) considering only single loading conditions is generalized to include multiple load cases. Based on the ground structure approach the algorithm allows for variable ground structures allowing for, for instance, geometrical restrictions such as concave or even disconnected design domains (Smith 1995b).

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

  • Achtziger, W. 1994: A SLP-approach for computing optimum truss topology designs covering full local buckling.MAT-Report 1994-55, Mathematical Institute, DTU, Denmark

    Google Scholar 

  • Barta, J. 1957: On minimum weight of certain redundant structures.Acta Techn. Sci. Hung. 18, 67–78.

    Google Scholar 

  • Beckers, M.; Fleury, C. 1994: A primal/dual approach in truss topology optimization.LTAS, Structures Aerospatiales, Université de Liège, Rapport OA-34

  • Bendsøe, M.P.; Mota Soares C.A. (eds.) 1993:Topology design of structures. Dordrecht: Kluwer

    Google Scholar 

  • Bendsøe, M.P.: Ben-Tal, A.: Zowe, J. 1994: Optimization methods for truss geometry and topology design.Struct. Optim. 7, 141–159

    Google Scholar 

  • Hörnlein, H.R.E.M. 1979:Ein Algorithmus zur Strukturoptimierung von Fachwerkkonstruktionen. Diplomarbeit, LMU Munich

  • Kirsch, U. 1989: Optimal topology of structures.Appl. Mech. Rev. 42, 223–239

    Google Scholar 

  • Pedersen, P. 1969: On the minimum mass layout of trusses.AGARD-CP-36-70

  • Pedersen, P. 1972: On the optimal layout of multi-purpose trusses.Comp. & Struct. 2, 695–712

    Google Scholar 

  • Pedersen, P. 1993: Topology optimization of three dimensional trusses. In Bendsøe, M.P.; Mota Soares, C.A. (eds.)Topology design of structures, pp. 19–30, Dordrecht: Kluwer

    Google Scholar 

  • Pedersen, P. 1994: Modified simplex optimization program.Comm. Num. Meth. Engrg. 10, 303–312

    Google Scholar 

  • Rasmussen, J.; Lund, E.; Birker, T.; Olhoff, N. 1993: The CAOS system. In: Hörnlein, H.R.E.M.; Schittkowski, K. (eds.)Software systems for structural optimization, pp. 75–96. Boston: Birkhäuser

    Google Scholar 

  • Rozvany, G.K.N. 1989:Structural design via optimality criteria, Dordrecht: Kluwer

    Google Scholar 

  • Rozvany, G.I.N.; Bendsøe, M.P.; Kirsch, U. 1995: Layout optimization of trusses.Appl. Mech. Rev. 48

  • Smith, O. 1994: Generation of a ground structure for truss topology optimization.MAT-Report 1994-17, Mathematical Institute, DTU, Denmark

    Google Scholar 

  • Smith, O. 1995a: Generation of 3D ground structures for truss topology optimization. In: Olhoff, N.; Rozvany, G.I.N. (eds.)WCSMO-1, First World Congress of Structural and Multidisciplinary Optimization (held in Goslar, Germany), pp. 147–152, Oxford, Pergamon

    Google Scholar 

  • Smith, O. 1995b: Generation of ground structures for 2 and 3D design domains.MAT-Report 1996-25, Mathematical Institute, DTU, Denmark

    Google Scholar 

  • Smith, O. 1996a: An interactive system for truss topology design.Comp. & Struct. (to appear). Preliminary version in:Proc. CST Conf. (held in Athens, Greece)

  • Smith, O. 1996b:Optimal truss topology design: generation of ground structures and local stability constraints. Ph.D. Thesis, Institute of Mechanics, DTU, Denmark

    Google Scholar 

  • Smith, O. 1996c:Topology optimization of trusses with element linking in buckling: In: Smith 1996b.

  • Topping, B.M.V. 1992: Mathematical programming techniques for shape optimization of skeletal structures. In: Rozvany, G.I.N. (ed.)Shape and layout optimization of structural system and optimality criteria methods, pp. 349–446. Vienna: Springer

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

da Silva Smith, O. Topology optimization of trusses with local stability constraints and multiple loading conditions—a heuristic approach. Structural Optimization 13, 155–166 (1997). https://doi.org/10.1007/BF01199235

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01199235

Keywords

Navigation