Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading

Analytical solution of the problem of buckling of truncated hemispherical shell of revolution, subjected to tension loading, is obtained. Assumption of membrane prebuckling state is applied, and the range of applicability of this assumption is estimated. The developed algorithm is based on the asymp...

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Bibliographic Details
Published in:Mathematical problems in engineering 2018-01, Vol.2018 (2018), p.1-4
Main Authors: Kalamkarov, Alexander L., Andrianov, Igor I.
Format: Article
Language:English
Subjects:
Asymptotic methods
Bifurcations
Boundary conditions
Boundary value problems
Composite materials
Empirical analysis
Hemispherical shells
Load
Mechanics
Partial differential equations
Shell stability
Shells of revolution
Stability analysis
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Summary:Analytical solution of the problem of buckling of truncated hemispherical shell of revolution, subjected to tension loading, is obtained. Assumption of membrane prebuckling state is applied, and the range of applicability of this assumption is estimated. The developed algorithm is based on the asymptotic simplification procedure of bifurcation equations. The formula for the bifurcation tension load is derived and compared with the earlier published empirical and numerical results. It is shown that it is sufficiently accurate and can be used in engineering practice.
ISSN:1024-123X
1563-5147
DOI:10.1155/2018/5260639