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

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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Main Authors: Alexander L. Kalamkarov, Igor I. Andrianov
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/5260639
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spelling doaj-20bfc2a0f4364427a14cbe94b1e676692020-11-25T00:22:42ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/52606395260639Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile LoadingAlexander L. Kalamkarov0Igor I. Andrianov1Department of Mechanical Engineering, Dalhousie University, Halifax, Nova Scotia, B3H 4R2, CanadaInstitut für Bauforschung, RWTH Aachen University, Schinkelstr. 3, 52062 Aachen, GermanyAnalytical 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.http://dx.doi.org/10.1155/2018/5260639
collection DOAJ
language English
format Article
sources DOAJ
author Alexander L. Kalamkarov
Igor I. Andrianov
spellingShingle Alexander L. Kalamkarov
Igor I. Andrianov
Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading
Mathematical Problems in Engineering
author_facet Alexander L. Kalamkarov
Igor I. Andrianov
author_sort Alexander L. Kalamkarov
title Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading
title_short Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading
title_full Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading
title_fullStr Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading
title_full_unstemmed Analytical Solution of the Stability Problem for the Truncated Hemispherical Shell under Tensile Loading
title_sort analytical solution of the stability problem for the truncated hemispherical shell under tensile loading
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/5260639
work_keys_str_mv AT alexanderlkalamkarov analyticalsolutionofthestabilityproblemforthetruncatedhemisphericalshellundertensileloading
AT igoriandrianov analyticalsolutionofthestabilityproblemforthetruncatedhemisphericalshellundertensileloading
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