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Comparison of NLP Techniques in Optimum Structural Frame Design

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Structural Optimization

Abstract

The aim of this paper is to study the efficiency of three non-linear programming techniques for the solution of optimization problems of plane structural frames under multiple load systems. The problem is one of minimizing the mass of the frame subject to constraints on normal and shear stresses, the maximum transverse deflection and buckling load. Numerical examples are presented to indicate the efficiency of the various NLP techniques.

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References

  1. C. Fleury and V. Braibant, Structural optimization:A new dual method using mixed variables, Int. J. Num. Methods Eng.,23,409–428 (1986).

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  2. P. Pedersen, The integrated approach to FEM SLP for solving problems of optimal design, In Optimization of Distributed Parameter systems, Vol. I (Edited by E. J., Haug and J. Cea), Sijthoff & Noordhoff, The Netherlands, pp. 739–756 (1981).

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  3. A. V. Fiacco and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization techniques, John Wiley, New York (1968).

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  4. B. L. Karihaloo and S. Kanagasundaram, Optimum design of statically indeterminate beams under multiple loads, Comput. Struct.,26,521–538 (1987). See also three further papers by the authors in this Journal in 1988.

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  5. G. N. Vanderplaats and H. Sugimoto, A general-purpose optimization program for engineering design, Comput. Struct., 21,13–21 (1986).

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Author information

Authors and Affiliations

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

    B. L. Karihaloo & S. Kanagasundaram

Authors
  1. B. L. Karihaloo
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  2. S. Kanagasundaram
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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 Publisher

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Karihaloo, B.L., Kanagasundaram, S. (1988). Comparison of NLP Techniques in Optimum Structural Frame Design. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_19

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_19

  • 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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