1975Bulletin of JSMEOpen access

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

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Abstract

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.

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Available abstract

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

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Application of Three Shell Theories for Bending Problems of Axisymmetric Shells : 2nd Report, Modified Flugge's Theory and Donnell's Theory — Research Paper | ScholarLens