Application of Three Shell Theories for Bending Problems of Axisymmetric Shells : 2nd Report, Modified Flugge's Theory and Donnell's Theory
Minoru HAMADA, Masataka Mase, Kazuyuki Watanabe, Shoichi HASHIMOTO
Abstract
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Minoru HAMADA, Masataka Mase, Kazuyuki Watanabe, Shoichi HASHIMOTO
Abstract
Open-access reader
In the previous report, Flugge's and Mizoguchi's shell theories were improved to be applicable to problems of the general axisymmetric shell, and it was proved that these two theories and Sander's shell theory give almost the same results. In this report, Flugge's shell theory is modified to give better results. Donnell's shell theory for the cylindrical shell is also considered and is extended to problems of the general axisymmetric shell, then, these two theories are applied to some problems and the accuracy of these methods is investigated.
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In the previous report, Flugge's and Mizoguchi's shell theories were improved to be applicable to problems of the general axisymmetric shell, and it was proved that these two theories and Sander's shell theory give almost the same results. In this report, Flugge's shell theory is modified to give better results. Donnell's shell theory for the cylindrical shell is also considered and is extended to problems of the general axisymmetric shell, then, these two theories are applied to some problems and the accuracy of these methods is investigated.
Key concepts: Shell (structure), Shell theory, Rotational symmetry, Bending, Mathematics, Physics, Geometry, Engineering