A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell
type: Item
instance of: scholarly article
title: A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell
zbMATH Open document ID: 0851.73019
DOI: 10.1016/0045-7825(94)00734-5
author: J. C. Wohlever
author: Timothy J. Healey
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-11-11T00:00:00Z
review text: We focus on recent results of the group theoretic approach to a numerical, global postbuckling analysis of a perfect, axially compressed cylindrical shell with ``built-in'' end conditions. The ``built-in'' end conditions obviate the existence of a ``trivial'' membrane solution branch. In a numerical arc-length continuation scheme, the close proximity of the bifurcation points on the primary path manifests itself in severe ill-conditioning of the tangent stiffness matrix. Group theory helps one systematically find an ``optimal'' set of basis vectors, or symmetry modes, which reflect the symmetry of a given solution path.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 881101
zbMATH Keywords: built-in end conditions
zbMATH Keywords: arc-length continuation scheme
zbMATH Keywords: tangent stiffness matrix
zbMATH Keywords: symmetry modes
MaRDI profile type: Publication
full work available at URL: 0045-7825(94)00734-5
OpenAlex ID: W2034301415
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description: scientific article; zbMATH DE number 881101