Abstract
Tens of years ago, theories were proposed for the edge disturbance problem in shells of revolution. Because a rigorous bending theory is complicated, attempts were made for reliable approximations. A well-known one was published by Geckeler [1, 2], who obtained his approximation by simplifying mathematical considerations to the exact equations. We adopt in the present chapter the approximation of Geckeler, but will arrive at it in an alternative, simpler way, which is inspired by the stave-ring model for edge disturbances in circular cylindrical shells in Chap. 5.
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References
Geckeler JW (1930) Zur Theorie der Elastizität flacher rotationssymmetrischer Schalen. Ing-Arch 1:255–270
Geckeler JW (1926) Ueber die Festigkeit achsensymmetrischer Schalen, Forschungsarbeiten. Ingenieurswesen, Heft 276, Berlin (in German)
Pucher A (1937/1938) Die Berechnung der Dehnungspannungen von Rotationsschalen met Hilfe von Spannungsfunktionen, Mémoires AIPC V
Timoshenko SP, Woinowsky-Krieger S (1959) Theory of plates and shells, 2nd edn. Mc Graw-Hill Book Company Inc., New York
Flügge W (1960) Stresses in shells. Springer, Berlin (corrected reprint 1962)
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Blaauwendraad, J., Hoefakker, J.H. (2014). Edge Disturbance in Shell of Revolution Due to Axisymmetric Loading. In: Structural Shell Analysis. Solid Mechanics and Its Applications, vol 200. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6701-0_15
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DOI: https://doi.org/10.1007/978-94-007-6701-0_15
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