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Sufficient optimality conditions for some structural design problems

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Summary

The derivation of sufficient conditions for optimal structural design is considered in this paper. It is shown how such conditions can be obtained for certain classes of problems. Examples involving design constraints on deflection and stability are presented to demonstrate the procedure.

Zusammenfassung

Die Arbeit befaßt sich mit der Herleitung hinreichender Bedingungen für optimale Dimensionierung. Es wird gezeigt, wie für gewisse Problemklassen solche Bedingungen gewonnen werden können. Das Verfahren wird an Beispielen erläutert, welche Bedingungen bezüglich Deformation und Stabilität unterliegen.

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References

  1. W. Prager andJ. E. Taylor,Problems of Optimal Structural Design, J. appl. Mech.35, 102 (1968).

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  2. R. T. Shield andW. Prager,Optimal Structural Design for Given Deflection, Z. angew. Math. Phys.21, 513 (1970).

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  3. W. Prager,Conditions for Structural Optimality, to appear.

  4. H. Ashley andS. C. McIntosh, Jr.,Application of Aeroelastic Constraints in Structural Optimization, Proc. 12th Int. Congress of Applied Mechanics (Springer, Berlin 1969), p. 100–113.

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  5. R. H. Plaut,On Determining the Nature of Instability in Nonconservative Problems, to appear.

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Author information

Authors and Affiliations

  1. Div. of Eng., Brown University, Providence, R. I., USA

    Raymond H. Plaut

Authors
  1. Raymond H. Plaut
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Additional information

This research was supported by the U.S. Army Research Office, Durham.

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Plaut, R.H. Sufficient optimality conditions for some structural design problems. Journal of Applied Mathematics and Physics (ZAMP) 23, 257–264 (1972). https://doi.org/10.1007/BF01593089

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  • DOI: https://doi.org/10.1007/BF01593089

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