Abstract
Optimality of structural systems has been a main field of interest in the past ten or twenty years. The present article summarizes one aspect of optimal design in the plastic range, which is firmly rooted in the well-known Prager- Shield-Theory of optimal design /1/. The derivation given here is limited in space; for a more detailed discussion we refer to /2/ and /4/. Applications of the Prager-Shield- Theory in analytical form can be found in /3/.
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References
Prager, W. and Shield, R.T., MA “General Theory of Optimal Plastic Design”, J. of Appl. Mech., 1967, pp. 184–186.
Pape, G., „Eine quadratische Approximation des Bemessung s problems idealplastischer Tragwerke“, Ph. D. Dis-sertation, Essen University, 1979.
Rozvany, G.I.N., “Optimal Design of Flexural Systems”, Pergamon Press, Oxford, 1976.
Thierauf, G., “A Method for Optimal Limit Design of Structures with Alternative Loads”, Comp. Meth. in Appl. Mech. and Eng., Vol. 16, 1978, pp. 135–149.
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© 1981 Springer-Verlag, Berlin, Heidelberg
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Pape, G., Thierauf, G. (1981). A Quadratic Approximation of a Non-Linear Structural Design Problem. In: Hult, J., Lemaitre, J. (eds) Physical Non-Linearities in Structural Analysis. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81582-9_29
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DOI: https://doi.org/10.1007/978-3-642-81582-9_29
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