Advertisement

ESO for Shape Optimization and the Reduction of Stress Concentrations

  • Y. M. Xie
  • G. P. Steven

Abstract

Ever since the fonnulation of the general rules and fonnulae of structural mechanics, the focus of most analyses has been to find the maximum stress present in a given structure. This maximum provided the basis of a design limit despite the obvious fact that, often, the bulk of the surface of the structure was at a much lower stress. This chapter demonstrates how the ESO technique can be used to provide structural shapes where the boundary is evolved on the basis of making the, as yet unknown, surface fonn as evenly stressed as possible.

Keywords

Shape Optimization Rejection Ratio Transition Length Neck Length Evolutionary Structural Optimization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Backlund, J. and Isby, R. (1988) Shape optimization of holes in composite shear panels. In: G.I.N. Rozvany and B.L. Karihaloo (eds.), Structural Optimization, Kluwer Academic Publishers, Dordrecht, 9–16.Google Scholar
  2. Ding, Y. (1986) Shape optimization of structures: a literature survey. Comput. Struct. 24(6),985–1004.MATHCrossRefGoogle Scholar
  3. Durelli, A.J. and Rajaia, K. (1981) Minimizing stress with photoelasticity. Machine Design. 53(28), 125–130.Google Scholar
  4. Engineering Science Data Unit (1969) Elastic Stress Concentration Factors: Geometric Discontinuities in Flat Bars or Strips of Isotropic Materials, Amended 1979,251–259 Regent St., London, WIR 7AD, U.K.Google Scholar
  5. Falzon, B.G. (1996) An Investigation into the Buckling and Postbuckling Behaviour of Hat-Stiffened Composite Panels, PhD Thesis, Department of Aeronautical Engineering, University of Sydney.Google Scholar
  6. Falzon, B.G., Steven, G.P. and Xie, Y.M. (1996) Shape optimization of interior cutouts in composite panels. Struct. Optim. 11,43–49.CrossRefGoogle Scholar
  7. Haftka, R.T. and Grandhi, R.V. (1985) Structural shape optimization: - a survey. AIAA-85–0772, AIAAlASME/ASCE/AHS 26th Structural Dynamics and Materials Conf., Orlando, Florida.Google Scholar
  8. Heywood, R.B. (1969) Photoelasticily for Designers, Pergamon, Oxford.Google Scholar
  9. Peterson R.E. (1974) Stress Concentration Design Factors, John Wiley, New York.Google Scholar
  10. Tsai, S.W. (1988) Composite Design, 4th edn., Think Composites, Dayton.Google Scholar

Copyright information

© Springer-Verlag London Limited 1997

Authors and Affiliations

  • Y. M. Xie
    • 1
  • G. P. Steven
    • 2
  1. 1.Department of Civil and Building EngineeringVictoria University of TechnologyAustralia
  2. 2.Department of Aeronautical EngineeringUniversity of SydneyAustralia

Personalised recommendations