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New optimality criteria methods: Forcing uniqueness of the adjoint strains by corner-rounding at constraint intersections

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Abstract

In new, iterative continuum-based optimality criteria (COC) methods, the strain in the adjoint structure becomes non-unique if the number of active local constraints is greater than the number of design variables for an element. This brief note discusses the use of smooth envelope functions (SEF's) in overcoming economically computational problems caused by the above non-uniqueness.

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References

  • Berke, L.; Khot, N.S. 1987: Structural optimization using optimality criteria. In: Mota Soares, C.A. (ed.)Computer aided optimal design: structural and mechanical systems, pp. 271–312. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  • Chang, K.J. 1992: Optimality criteria methods using K-S functions.Struct. Optim. 4, 213–217

    Google Scholar 

  • Rozvany, G.I.N.; Zhou, M.; Gollub, W.;et al. 1989/1990: Continuum-type optimality criteria methods for large finite element systems with a displacement constraint. Parts I, II.Struct. Optim. 1, 47–72,2, 77–104

    Google Scholar 

  • Rozvany, G.I.N.; Zhou, M. 1991a: The COC algorithm, Part I: cross-section optimization or sizing.Comp. Meth. Appl. Mech. Eng. 89, 281–308

    Google Scholar 

  • Rozvany, G.I.N.; Zhou, M. 1991b: A note on truss design for stress and displacment constraints by optimality criteria methods.Struct. Optim. 3, 45–50

    Google Scholar 

  • Sobieszczanski-Sobieski, J. 1992: A technique for locating function roots and for satisfying equality constraints in optimization.Struct. Optim. 4, 241–243.

    Google Scholar 

  • Zhou, M.; Rozvany, G.I.N. 1992: A new discretized optimality criteria method in structural optimization.Proc. AIAA/ASME/ASCE/AHS/ASC Structures, Dynamics and Materials Conf. (held in Dallas), pp. 3106–3120. Washington DC: AIAA

    Google Scholar 

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Authors and Affiliations

  1. FB 10, Universität Essen, D-4300, Essen 1, Germany

    G. I. N. Rozvany

  2. NASA Langley Research Center, 23665, Hampton, VA, USA

    J. Sobieszczanski-Sobieski

Authors
  1. G. I. N. Rozvany
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  2. J. Sobieszczanski-Sobieski
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Rozvany, G.I.N., Sobieszczanski-Sobieski, J. New optimality criteria methods: Forcing uniqueness of the adjoint strains by corner-rounding at constraint intersections. Structural Optimization 4, 244–246 (1992). https://doi.org/10.1007/BF01742752

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  • DOI: https://doi.org/10.1007/BF01742752

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