Ingenieur-Archiv

, Volume 47, Issue 2, pp 95–104 | Cite as

Flexible shell-theory and buckling of toroidal shells and tubes

  • E. Axelrad
Article

Summary

Flexible shells, designed to sustain elastic displacements, have a “semimembrane” type of deformation, described by simplified equations. In what follows, flexible shell equations are derived and used to analyse bending of curved tubes and buckling of tubes and toroidal shells under external pressure, as interdependent problems. Design formulas and curves are presented.

Keywords

Neural Network Complex System Information Theory Nonlinear Dynamics Elastic Displacement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Übersicht

Flexible Schalen, die elastischen Verformungen ausgesetzt sind, genügen einem „Semi-Membranspannungszustand”. Vereinfachte Gleichungen für diesen Zustand werden hergeleitet. Damit werden die Probleme des Beulens von Torusschalen unter Außendruck, ein Spezialfall des allgemeineren Problems der Biegung und der Stabilität von Rohren, untersucht. Spannungen, Deformationen und kritischer Außendruck werden in Abhängigkeit von der Rohrkrümmung und von dem Abstand zwischen Querrippen oder Flanschen bestimmt.

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References

  1. 1.
    Koiter, W. T.: On the Nonlinear Theory of Thin Elastic Shells. Proc. Kon. Ned. Akad. Wet. Ser. B, 69 (1966) 1–54Google Scholar
  2. 2.
    Axelrad, E. L.: Refinement of Critical Load Analysis for Tube Bending by Way of Considering Precritical Deformation. Izv. AN SSSR, OTN, Mechanika i Mashinostr., 1965, n. 4, pp. 133–139 (in Russian)Google Scholar
  3. 3.
    Axelrad, E. L.: On Stability of a Curved Pipe with Circular Cross Section under External Pressure. Mechanics of Solids 2 (1967) 117–120Google Scholar
  4. 4.
    Axelrad, E. L.: Flexible Shells. Moskva, 1976 (in Russian)Google Scholar
  5. 5.
    Kostovetsky, D. L.: On Stability of Curved Thin-Walled Tube under External Pressure. Izv. AN SSSR, Mechanika i Mashinostr., 1961, n. 1, 111 (in Russian)Google Scholar
  6. 6.
    Axelrad, E. L.: Flexure and Stability of Thin-Walled Tubes under Hydrostatic Pressure, Izv. AN SSSR, OTN, Mechanika i Mashinostr., 1962, n. 1, 98 (in Russian)Google Scholar
  7. 7.
    Sobel, L. H.; Flügge, W.: Stability of Toroidal Shells under Uniform External Pressure. AIAA J. 5 (1967) 425–431Google Scholar
  8. 8.
    Almroth, B. O.; Sobel, L. H.; Hunter, A. R.: An Experimental Investigation of the Buckling of Toroidal Shells. AIAA J. 7 (1969) 2185–2186Google Scholar
  9. 9.
    Jordan, P. F.: Buckling of Toroidal Shells under Hydrostatic Pressure. AIAA J. 11 (1973) 1439–1441Google Scholar
  10. 10.
    Nordell, W. J.; Crawford, J. E.: Analysis of Behaviour of Unstiffened Toroidal Shells. IASS Paper 4-4, Pacif. Symp. Hydromech. Loaded Shells, Univ. of Hawaii, Honolulu, 1973, 304–313Google Scholar
  11. 11.
    Bullygin, A. V.: Stability of Toroidal Shell under External Pressure. Trudy Kazanskogo Aviatsionnogo Instituta, n. 160 (1973)Google Scholar
  12. 12.
    Reissner, E.: Linear and Nonlincar Theory of Shells. Proc. Symp. Thin Shell Structures, Englewood Cliffs, N.J., 1974, 29–44Google Scholar
  13. 13.
    Flügge, W.: Stresses in Shells, Berlin-Heidelberg-New York 1973Google Scholar
  14. 14.
    Seaman, W. J.; Wan, F. Y. M.: Lateral Bending and Twisting of Thin-Walled Curved Tubes. Stud. Appl. Math. 8 (1974) 73–89Google Scholar
  15. 15.
    Goldcnveizer, A. L.: Theory of Elastic Thin Shells. New York 1961Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • E. Axelrad
    • 1
  1. 1.PostlagerndMünchen 90Bundesrepublik Deutschland

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