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Structural Optimization pp 39–46Cite as

Performance Characteristics of Optimality Criteria Methods

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Abstract

The formal development of the method is outlined emphasizing the utilization of the separability properties of the objective and constraint functions. Convergence properties are illustrated with examples of increasing numbers of independent size variables ranging from a few hundred to over a thousand.

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References

  1. Berke, L: An Efficient Approach to the Minimum Weight Design of Deflection Limited Structures, AFFDL-TM-70–4, 1970.

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  2. Berke, L.: Convergence Behavior of Iterative Resizing Procedures Based on Optimality Criteria, AFFDL-TM-72-l-FBR, 1972.

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  3. Berke, L.; Khot, N. S.: ‘Use of Optimality Criteria Methods for Large Scale Systems’. AGARD-LS-70, 1974, pp. 1–1 to 1–29.

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  4. Mota Soares, C. (ed): Computer Aided Optimal Design: Structural and Mechanical Systems. Proceedings of the NATO ASI held in Portugal, June 29-July 11, NATO ASI Series, Vol. F27, Springer-Verlag 1987.

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  5. Bertsekas, D. P.: Constrained Optimization and Lagrange Multiplier Methods, Academic Press, 1982, p. 104.

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  6. Venkayya, V. B.; Khot, N. S.; and Reddy, V. S.: Energy Distribution in an Optimum Structural Design, AFFDL-TR-68–156, Sept. 1968.

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  7. Lerner, E.: ‘The Application of Practical Optimization Techniques in the Preliminary Structural Design of a Forward-Swept Wing’. Second International Symposium on Aeroelasticity and Structural Dynamics, Deutsche Gesellschaft fuer Luft und Raumfahrt, Bonn, Germany, 1985, pp. 381–392.

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Author information

Authors and Affiliations

  1. NASA Lewis Research Center, Cleveland, Ohio, 44136, USA

    Laszlo Berke (Chief Scientist for Structures)

  2. Flight Dynamics Laboratory, FIBRA/Wright Patterson AFB, Ohio, 45433, USA

    Narendra S. Khot (Aerospace Engineer)

Authors
  1. Laszlo Berke
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  2. Narendra S. Khot
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Editor information

Editors and Affiliations

  1. Department of Structural Design, Essen University, Universitätstraße 15, 4300, Essen 1, Germany

    G. I. N. Rozvany

  2. School of Civil and Mining Engineering, The University of Sydney, Sydney, NSW, 2006, Australia

    B. L. Karihaloo

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© 1988 Kluwer Academic Plublishers

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Berke, L., Khot, N.S. (1988). Performance Characteristics of Optimality Criteria Methods. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_6

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7132-1

  • Online ISBN: 978-94-009-1413-1

  • eBook Packages: Springer Book Archive

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