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Acta Mechanica

Erschienen in:

04.12.2019 | Original Paper

Generalized variational principles for buckling analysis of circular cylinders

verfasst von: Ji-Huan He

Erschienen in: Acta Mechanica | Ausgabe 3/2020

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Abstract

A generalized variational principle and a parameterized generalized variational principle are obtained for large deformation analysis of circular cylinders by the semi-inverse method; all known variational principles in the literature are special cases of the obtained parameterized functional. In this approach, a trial functional is constructed with an energy-like integral involving an unknown function, which is identified step by step. The present paper provides a quite straightforward but rigorous tool to the construction of a variational principle for the shell or plate buckling.

Vorheriger Artikel Quasi-static problems in the coupled linear theory of elasticity for porous materials

Nächster Artikel Nonlinear modeling, dynamics, and chaos in a large deflection model of a rotor–disk–bearing system under geometric eccentricity and mass unbalance

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Titel: Generalized variational principles for buckling analysis of circular cylinders
verfasst von: Ji-Huan He
Publikationsdatum: 04.12.2019
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 3/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-019-02569-7

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