Skip to main content
SpringerLink
Log in

Optimal topology design of discrete structures resisting degradation effects

  • Brief Notes
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

In this technical note we treat the problem of finding the optimal topology of a truss, so that stiffness after degradation is maximized. It is shown that for the problem setting at hand, the optimal topology has uniform relative degradation in all bars and the topology is unchanged from the topology for a truss not undergoing degradation. As is well-known such a design can be realized as a fully stressed, statically determinate truss.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  • Achtziger, W.; Bendsøe, M.P. 1995: Design for maximal flexibility as a simple computational model of damage.Struct. Optim. 10, 258–268

    Google Scholar 

  • Achtziger, W.; Bendsøe, M.P.; Ben-Tal, A.; Zowe, J. 1992: Equivalent displacement based formulations for maximum strength truss topology design.Impact of Computing in Science and Engineering 4, 315–345

    Google Scholar 

  • Achtziger, W.; Bendsøe, M.P.; Taylor, J.E. 1998: Bounds on the effect of progressive structural degradation.J. Mech. Phys. Solids 46, 1055–1087

    Google Scholar 

  • Ben-Tal, A.; Bendsøe, M.P. 1993: A new method for optimal truss topology design.SIAM J. Opt. 3, 322–358

    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 

  • Bendsøe, M.P.; Díaz, A. 1998: A method for treating damage related criteria in optimal topology design of continuum structures.Struct. Optim. 16, 108–115

    Google Scholar 

  • Cox, H.L. 1965:The design of structures for least weight. Oxford: Pergamon Press

    Google Scholar 

  • Ekeland, L.; Temam, R. 1976:Convex analysis and variational problems. Amsterdam: North-Holland

    Google Scholar 

  • Francfort, G.A.; Marigo, J.-J. 1993: Stable damage evolution in a brittle continuous medium.Eur. J. Mech. A/Solids 12, 149–189

    Google Scholar 

  • Rockafellar, R.T. 1970:Convex analysis. Princeton, N.J.: Princeton University Press

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany

    W. Achtziger

  2. Department of Mathematics, Technical University of Denmark, DK-2800, Lyngby, Denmark

    M. P. Bendsøe

Authors
  1. W. Achtziger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. P. Bendsøe
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Achtziger, W., Bendsøe, M.P. Optimal topology design of discrete structures resisting degradation effects. Structural Optimization 17, 74–78 (1999). https://doi.org/10.1007/BF01197715

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01197715

Keywords

Search

Navigation