Buckling of Shells

  • Wilhelm Flügge

Abstract

In many examples in the preceding chapters we have seen that shells can be very thin-walled and that they very often are subjected to compressive stresses in extensive areas. The question arises whether the elastic equilibrium of such shells is stable. To answer this question, one of the standard methods of the theory of elastic stability must be applied : the method of adjacent equilibrium or the energy method. We shall explain here the basic ideas of both methods in the terminology of shells and then consider an Euler column to demonstrate their use.

Keywords

Torque Assure Eter Sine Librium 

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References

  1. 1.
    Ziegler, H.: Stabilitätsprobleme bei geraden Wellen. Z. angew. Math. Phys 2 (1951), 265–289.MATHCrossRefGoogle Scholar
  2. 1.
    A survey of the mathematical problem is found in L. V. Kantorovich, V. I. Krylov: Approximate Methods of Higher Analysis, English translation by C. D. Benster. Groningen, Noordhoff, 1958, pp. 20–44.MATHGoogle Scholar
  3. 1.
    Southwell, R. V., Skan, S. W.: On the stability under shearing forces of a flat elastic strip. Proc. Roy. Soc. London A, 105 (1924), 587.Google Scholar
  4. 1.
    Southwell, R. V.: On the analysis of experimental observations in problems of elastic stability. Proc. Roy. Soc. London A, 135 (1932), 601.MATHCrossRefGoogle Scholar
  5. Lundquist, E. E.: Generalized analysis of experimental observations in problems of elastic stability. NACA, Techn. Note 658 (1938).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • Wilhelm Flügge
    • 1
  1. 1.Stanford UniversityUSA

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