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
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 |
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Article Category | Article |
Authors | |
Author | Ermakov, Andrei M. |
Journal Title | Lecture Notes in Computer Science (Book series) |
Journal Citation | 8236, pp. 279-286 |
Number of Pages | 8 |
Year | 2013 |
Publisher | Springer |
Place of Publication | Berlin, Germany |
ISSN | 1611-3349 |
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. |
Keywords | cylindrical shell, buckling, non-Classical theories of shells, numerical and analytical modeling |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490410. Partial differential equations | |
401707. Solid mechanics | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Saint Petersburg State University, Russia |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q3q29/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
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