Beam elements in instability problems
type: Item
instance of: scholarly article
title: Beam elements in instability problems
zbMATH Open document ID: 0892.73069
DOI: 10.1016/S0045-7825(96)01165-6
author: Costin Pacoste
author: Anders Eriksson
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1998-08-03T00:00:00Z
review text: This paper deals with the formulation of beam elements for the numerical analysis of instability phenomena in frame-type structures. Total versus co-rotational approaches are discussed comparatively, for both two-dimensional and three-dimensional problems, and the similarities between the two types are outlined. In the context of three-dimensional beam elements, special attention is given to the parameterization of the orthogonal transformation used to define the rotational field of the beam. The technique is based on the so-called rotational vector. This leads to symmetric stiffness matrices and avoids the need for special updating procedures for the rotational variables. A set of test problems, for which the critical behaviour is governed by fold, cusp and butterfly catastrophes, is used to assess the performances of the considered element types.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 1079169
zbMATH Keywords: symbolic manipulations
zbMATH Keywords: parameterization of orthogonal transformation
zbMATH Keywords: frame-type structures
zbMATH Keywords: rotational field
zbMATH Keywords: rotational vector
zbMATH Keywords: symmetric stiffness matrices
zbMATH Keywords: catastrophes
describes a project that uses: Maple
MaRDI profile type: Publication
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full work available at URL: s0045-7825(96)01165-6
OpenAlex ID: W2077548779
Wikidata QID: Q128131796
description: scientific article; zbMATH DE number 1079169