Flexural-torsional postbuckling analysis of beams of arbitrary cross-section
type: Item
instance of: scholarly article
title: Flexural-torsional postbuckling analysis of beams of arbitrary cross-section
zbMATH Open document ID: 1195.74101
published in: Acta Mechanica
publication date: 2010-02-01T00:00:00Z
review text: The authors give a postbuckling analysis of axially compressed elements of arbitrary cross-section of beams, taking into account moderate large displacements, moderate large angles of twist, and employing nonlinear relationships between bending moments and curvatures. The elements satisfy the most general boundary conditions including elastic support or restraint. Based on the Galerkin method and approximating the displacement field of the element by polynomial expressions, the authors reduce the governing differential equations to a nonlinear algebraic system. Then the geometric parameters and inertia, torsion and warping constants of arbitrary cross-section can be evaluated by employing the boundary element method.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 5665039
zbMATH Keywords: Galerkin method
zbMATH Keywords: nonlinear algebraic system
zbMATH Keywords: boundary element method
author: E. J. Sapountzakis
author: John Andrew Dourakopoulos
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: s00707-009-0140-0
OpenAlex ID: W2061309741
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DOI: 10.1007/S00707-009-0140-0
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description: scientific article; zbMATH DE number 5665039