Skip to main content
Log in

Shape optimization of structures for multiple loading conditions using a homogenization method

  • Originals
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

A formulation for shape optimization of elastic structures subject to multiple load cases is presented. The problem is solved using a homogenization method. When compared to the single load solution strategy, it is shown that the more general formulation can produce more stable designs while it introduces little additional complexity.

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

  • Bendsøe, M.P. 1989: Optimal shape design as a material distribution problem.Struct. Optim. 1, 193–202

    Article  Google Scholar 

  • Bendsøe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homogenization method.Comp. Meth. Appl. Mech. Engrg. 71, 197–224

    Article  Google Scholar 

  • Díaz, A.; Belding, B. 1990: On optimum truss layout by a homogenization method.ASME Trans. Mech. Design (to appear)

  • Haftka, R.T.; Adelman, H.M. 1989: Recent developments in structural sensitivity analysis.Struct. Optim. 1, 137–151

    Article  Google Scholar 

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

    Google Scholar 

  • Olhoff, N.; Bendsøe, M.P.; Rasmussen, J. 1991: On CAD-intgrated structural topology and design optimization.Int. J. Num. Meth. Engng. (to appear)

  • Papalambros, P.; Chirehdast, M. 1990: An integrated environment for structural configuration design.J. Engrg. Design 1, 73–91

    Google Scholar 

  • Pedersen, P. 1989: On optimal orientation of orthotropic materials.Struct. Optim. 1, 101–106

    Article  Google Scholar 

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

    Google Scholar 

  • Rozvany, G.I.N.; Zhou, M.; Rotthaus, M.; Gollub, W.; Spengemann, F. 1989: Continuum-type optimality criteria methods for large finite element systems with a displacement constraint: Part I.Struct. Optim. 1, 47–72

    Article  Google Scholar 

  • Rozvany, G.I.N.; Zhou, M.; Rotthaus, M.; Gollub, W.; Spengemann, F. 1990: Continuum-type optimality criteria methods for large finite element systems with a displacement constraint: Part II.Struct. Optim. 2, 77–104

    Article  Google Scholar 

  • Suzuki, K.; Kikuchi, N. 1991: A homogenization method for shape and topology optimization.Comp. Meth. Appl. Mech. Engrg. (to appear)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Díaz, A.R., Bendsøe, M.P. Shape optimization of structures for multiple loading conditions using a homogenization method. Structural Optimization 4, 17–22 (1992). https://doi.org/10.1007/BF01894077

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01894077

Keywords

Navigation