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The multipurpose optimal design of elastic structures with a piecewise uniform cross section

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Zusammenfassunġ

Die Arbeit beschäftigt sich mit dem optimalen Entwurf eines elastischen Tragwerks für mehrere Belastungszustände und vorgeschriebene Gesamtsteifigkeit. Frühere Ergebnisse werden verallgemeinert zwecks Aufstellung notwendiger und hinreichender Optimalitätsbedingungen für konvexe spezifische Kostenfunktionen. Eine Methode der optimalen Bemessung wird beschrieben und an Beispielen erläutert.

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References

  1. J. B. Martin,Optimal Design of Elastic Structures for Multipurpose Loading, J. Optimization Theory Appl.6, 22 (1970).

    Google Scholar 

  2. W. Prager andR. T. Shield,Optimal Design of Multipurpose Structures, Int. J. Solids Struct.4, 469 (1968).

    Google Scholar 

  3. N. C. Huang andT. C. Tang,Minimum Weight Design of Elastic Sandwich Beams with Deflection Constraints, J. Optimization Theory Appl.4, 277 (1969).

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  4. P. V. Marcal andW. Prager,A Method of Optimal Plastic Design, J. Mécanique3, 509 (1964).

    Google Scholar 

  5. W. Prager andR. T. Shield,A General Theory of Optimal Design, J. appl. Mech.34, 184 (1967).

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  6. J. B. Martin,The Optimal Design of Beams and Frames with Compliance Constraints, Int. J. Solids Struct.7, 63 (1971).

    Google Scholar 

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The research reported in this paper was supported by the Army Research Office (Durham) under Grant DA-ARO-D-31-124-G1025.

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Chern, J.M., Martin, J.B. The multipurpose optimal design of elastic structures with a piecewise uniform cross section. Journal of Applied Mathematics and Physics (ZAMP) 22, 834–855 (1971). https://doi.org/10.1007/BF01591812

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  • DOI: https://doi.org/10.1007/BF01591812

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