Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells

Article

Ermakov, Andrei M.. 2013. "Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells." Lecture Notes in Computer Science (Book series). 8236, pp. 279-286. https://doi.org/10.1007/978-3-642-41515-9_30
Article Title

Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells

Article CategoryArticle
Authors
AuthorErmakov, Andrei M.
Journal TitleLecture Notes in Computer Science (Book series)
Journal Citation8236, pp. 279-286
Number of Pages8
Year2013
PublisherSpringer
Place of PublicationBerlin, Germany
ISSN1611-3349
0302-9743
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-642-41515-9_30
Web Address (URL)http://link.springer.com/chapter/10.1007/978-3-642-41515-9_30
Abstract

The problem of the buckling of a transveral-isotropic cylindrical shell under axial compression by means of new non-classical shell theories is studied. The local approach is used to solve the systems of differential equations. According to this approach the buckling deflection is sought in the form of a doubly periodic function of curvilinear coordinates. The well-known solutions obtained by classical shell theories are compared with the results of non-classical shell theories. For the non-classical theories of anisotropic shell of moderate thickness the buckling equations are constructed by the linearization of nonlinear equilibrium equations. Analytical and numerical results obtained with the use of 3D theory by the FEM code ANSYS 13 are also compared.

Keywordscylindrical shell, buckling, non-Classical theories of shells, numerical and analytical modeling
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
490410. Partial differential equations
401707. Solid mechanics
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Byline AffiliationsSaint Petersburg State University, Russia
Institution of OriginUniversity of Southern Queensland
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