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Structural Optimization in a Non- Deterministic Setting

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Book cover Structural Optimization

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Abstract

For probabilistically described absolute structural optimization layout problems it is shown that using a simplified probabilistic framework (socalled First Order Second Moment), some classical solutions for optimal layout remain valid. Some remarks about the more general problem and the difficulty of its solution are made.

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References

  • Heyman, J., (1959), ‘On the Absolute Minimum Weight Design of Framed Structures, Q.J. Mech. Applied Mech, 12, 3, pp. 314–324.

    Article  MathSciNet  MATH  Google Scholar 

  • Melchers, R.E., (1987a), Structural Reliability Analysis and Prediction, Ellis Horwood.

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  • Melchers, R.E., (1987b), ‘On Probabilistic Absolute Optimum Design’ (submitted).

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  • Morley, C.T., (1966), ‘The Minimum Reinforcement of Concrete Slabs’, Int. J. Mech. Set., 8, pp. 305–319.

    Article  Google Scholar 

  • Prager, W. and Shield, R.J. (1967), ‘A General Theory of Optimal Plastic Design’, J. Applied Mech., 34, 1, pp. 184–186.

    MATH  Google Scholar 

  • Rackwitz, R. and Cuntze, R., (1987), ‘Formulations of Reliability-Oriented Optimization’, Engineering Optimization, 11, 1 and 2, pp. 69–72.

    Article  Google Scholar 

  • Ravindra, M.K., Heany, A. C. and Lind, N.C., (1969), ‘Probabilistic Evaluation of Safety Factors’, Final Report, Symp. on Concepts of Safety of Structures and Methods of Design’, London, IABSE, pp. 43–66.

    Google Scholar 

  • Strang, G. and Kohn, R.V., (1983), ‘Henky-Prandtl Nets and Constrained Michell Trusses’, Comp. Meth. Applied Mech. Engg. 36, 2, 207–222.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Thoft-Christenson, P. and Murotsu, Y., (1986), Application of Structural Systems Reliability Theory, Springer Verlag.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Civil Engineering and Surveying, The University of Newcastle, N.S.W., 2308, Australia

    R. E. Melchers

Authors
  1. R. E. Melchers
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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 Publishers

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Melchers, R.E. (1988). Structural Optimization in a Non- Deterministic Setting. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_24

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_24

  • 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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