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Optimal layout theory: Analytical solutions for elastic structures with several deflection constraints and load conditions

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Abstract

The aim of this note is to outline briefly, in the context of trusses, an optimal layout theory for elastic structures involving deflection constraints for several load conditions. The proposed theory is verified by a simple example, for which the solution by other methods is already known.

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References

  • Diaz, A.R.; Bendsøe, M.P. 1992: Shape optimization of structures for multiple loading conditions using the homogenization method.Struct. Optim. 4, 17–22

    Google Scholar 

  • Prager, W.; Rozvany, G.I.N. 1977: Optimization of structural geometry. In: Bednarek, A.R.; Cesari, L. (eds.):Dynamical systems, pp. 265–293. New York: Academic Press

    Google Scholar 

  • Rozvany, G.I.N. 1989:Structural design via optimality criteria. Dordrecht: Kluwer

    Google Scholar 

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

    Google Scholar 

  • Rozvany, G.I.N.; Zhou, M.; Birker, T. 1992: Generalized shape optimization without homogenization.Struct. Optim. 4, 250–252

    Google Scholar 

  • Zhou, M.; Rozvany, G.I.N. 1991: The COC algorithm. Part II: topological, geometrical and generalized shape optimization.Comp. Meth. Appl. Mech. Eng. 89, 309–336

    Google Scholar 

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Authors and Affiliations

  1. FB 10, Essen University, 4300, Essen 1, Germany

    G. I. N. Rozvany

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  1. G. I. N. Rozvany
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Rozvany, G.I.N. Optimal layout theory: Analytical solutions for elastic structures with several deflection constraints and load conditions. Structural Optimization 4, 247–249 (1992). https://doi.org/10.1007/BF01742753

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  • DOI: https://doi.org/10.1007/BF01742753

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