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On buckling of ellipsoidal cups under internal pressure

Stabilitätsproblem von Ellipsoidschalen unter Innendruck

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Summary

A method for the calculation of the critical load for a semi-ellipsoidal shell with a stiffening rib at the edge is presented. The external and internal buckling energy of the shell is described. The Rayleigh quotient is used as the static buckling criterion, assuming the deflection function to depend on four shape parameters. Some numerical examples are presented showing the influence of the rib stiffness and the shell dimensions on the critical pressure value.

Übersicht

Eine Methode zur Berechnung der kritischen Belastung von Halbellipsoidschalen mit versteifendem Kragen am Rande wird vorgestellt. Die äußere und innere Energie der Schale wird berechnet und der Rayleigh-Quotient als statisches Kriterium der Stabilität benutzt. Ihm liegt eine Funktion der Biegung mit vier Gestaltparametern zugrunde. Einige numerische Beispiele werden vorgestellt, welche den Einfluß der Kragensteifigkeit und der Schalenabmessungen auf den kritischen Druck illustrieren.

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Authors and Affiliations

  1. Inst. of Applied Mechanics, Technical University of Poznań, ul. Piotrowo 3, PL-60-965, Poznań, Poland

    K. Magnucki,  T. Wegner &  W. Szyc

Authors
  1. K. Magnucki
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  2. T. Wegner
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  3. W. Szyc
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Magnucki, K., Wegner, T. & Szyc, W. On buckling of ellipsoidal cups under internal pressure. Ing. arch 58, 339–342 (1988). https://doi.org/10.1007/BF00534353

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  • DOI: https://doi.org/10.1007/BF00534353

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