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

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, 8236. pp. 279-286. ISSN 0302-9743

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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 25 Oct 2016 05:54
Last Modified: 28 Mar 2017 05:43
Uncontrolled Keywords: cylindrical shell, buckling, non-Classical theories of shells, numerical and analytical modeling
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations
09 Engineering > 0913 Mechanical Engineering > 091308 Solid Mechanics
Identification Number or DOI: 10.1007/978-3-642-41515-9_30
URI: http://eprints.usq.edu.au/id/eprint/29895

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