Structural optimization

, Volume 10, Issue 3–4, pp 197–208 | Cite as

Optimization of a frame structure subjected to a plastic deformation

  • K. Yuge
  • N. Kikuchi
Research Papers

Abstract

An optimization method for a frame structure subjected to a plastic deformation is proposed in this paper. The method is based on the generalized layout optimization method proposed by Bendsøe and Kikuchi in 1988, where the solid-cavity composite material is distributed in the admissible domain and the cavity size is determined so that it becomes large in the area where the strain energy is small. Elasto-plastic analysis based on the homogenization method is carried out to obtain the nonlinear average stress-strain relations of a porous material first. Then the optimization algorithm of a frame structure is derived by taking plastification into account. Finally in order to demonstrate the effectiveness of the present algorithm, several numerical examples are illustrated.

Keywords

Plastic Deformation Composite Material Civil Engineer Optimization Algorithm Porous Material 

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References

  1. Bendsøe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homogenization method.Comp. Meth. Appl. Mech. & Engrg. 71, 197–224Google Scholar
  2. Diaz, A.R.; Kikuchi, N. 1992: Solutions to shape and topology eigenvalue optimization method.Int. J. Num. Meth. Engrg. 35, 1487–1502Google Scholar
  3. Guedes, J.M.; Kikuchi, N. 1990: Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods.Comp. Meth. Appl. Mech. & Engrg. 83, 143–198Google Scholar
  4. Haftka, R.T.; Grandhi, R.V. 1986: Structural shape optimization-A survey.Comp. Meth. Appl. Mech. &Engrg. 57, 91–106Google Scholar
  5. Hughes, T.J.R. 1977: A simple and efficient finite element for plate bending.Int. J. Num. Meth. Engrg. 11, 1529–1543Google Scholar
  6. Ma, Z.D.; Kikuchi, N.; Hagiwara, I. 1993: Structural topology and shape optimization for a frequency response problem.Comp. Mech. 13, 157–174Google Scholar
  7. Owen, D.J.R.; Hinton, E. 1980:Finite elements in plasticity. Swansea: Pineridge PressGoogle Scholar
  8. Suzuki, K.; Kikuchi, N. 1991: A homogenization method for shape and topology optimization.Comp. Meth. Appl. Mech. & Engrg. 92, 291–318Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • K. Yuge
    • 1
  • N. Kikuchi
    • 2
  1. 1.Faculty of EngineeringSeikei UniversityTokyoJapan
  2. 2.Department of Mechanical Engineering and Applied MechanicsThe University of MichiganAnn ArborUSA

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