Log in

On optimal design of supports in beam and frame structures

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

Abstract

An algorithm of optimal design of supports including their number, position and stiffness is proposed. The number of supports constitute topological design parameters, their positions correspond to configuration parameters. Both, elastic and rigid supports are considered and the optimization is aimed to minimize the total structure cost. The topology bifurcation points correspond to generation of new supports. The topological sensitivity derivative is used in deriving the optimality conditions

The optimization procedure provides number of supports, their position and stiffness of both supports and beam segments.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

  • Bojczuk, D.; Mróz, Z. 1997: Optimal design of trusses with account for topology variation.Mech. Struct. Mach. (submitted)

  • Dems, K.; Turant, J. 1997: Sensitivity analysis and optimal design of elastic highes and supports in beam and frame structures.Mech. Struct. Mach. (in print)

  • Garstecki, A.; Mróz, Z. 1987: Optimal design of supports of elastic structures subject to loads and initial distortions.Mech. Struct. Mach. 15, 47–68

    Google Scholar 

  • Mróz, Z.; Haftka, R.T. 1994: Design sensitivity of non-linear structures in regular and critical states.Int. J. Solids Struct. 31, 2071–2098

    Google Scholar 

  • Mróz, Z.; Lekszycki, T. 1982: Optimal support reaction in elastic frame structures.Comp. Struct. 14, 179–185

    Google Scholar 

  • Mróz, Z.; Rozvany, G.I.N. 1975: Optimal design of structures with variable support positions.J. Opt. Theory & Appl. 15, 85–101

    Google Scholar 

  • Rozvany, G.I.N. 1975: Analytical treatment of some extended problems in structural optimization. Parts I–II.J. Struct. Mech. 3, 359–385, 387–402

    Google Scholar 

  • Szelag, D.; Mróz, Z. 1978: Optimal design of elastic beams with unspecified support positions.ZAMM 58, 501–510

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bojczuk, D., Mróz, Z. On optimal design of supports in beam and frame structures. Structural Optimization 16, 47–57 (1998). https://doi.org/10.1007/BF01213999

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01213999

Keywords

Navigation