Abstract
The Donnell theory of shallow shells does not accurately apply to fully-closed circular cylindrical shells like chimneys and storage tanks. The main reason is the simplifying assumption that we can use the formulas of the flat plate theory for the change of curvatures in the shell. In full circular cylindrical shells, this is not sufficiently accurate, because then rigid body motions would lead to non-zero changes of curvatures. Especially for structures like long industrial chimneys, storage tanks and pipelines, the imperfections are undesirable and result in substantial errors.
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Blaauwendraad, J., Hoefakker, J.H. (2014). Morley Bending Theory for Circular Cylindrical Shells. In: Structural Shell Analysis. Solid Mechanics and Its Applications, vol 200. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6701-0_9
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DOI: https://doi.org/10.1007/978-94-007-6701-0_9
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