A consistent approach to linear stability of thin-walled beams of open section
type: Item
instance of: scholarly article
title: A consistent approach to linear stability of thin-walled beams of open section
zbMATH Open document ID: 0656.73030
DOI: 10.1016/0020-7403(88)90004-5
author: D. Zaccaria
author: Ferdinando Laudiero
published in: International Journal of Mechanical Sciences
publication date: 1988-01-01T00:00:00Z
review text: This paper presents a stability criterion for thin-walled beams of curvilinear section, based on the positive definiteness of the second variation of the potential energy. The internal stresses are derived according to a shell model which incorporates the kinematic restraints of thin-walled beams. In addition to the classical terms of the potential energy, the geometric effects of an applied torque, as well as flexural- extensional and torsional-extensional coupling terms, are accounted for.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 4072516
zbMATH Keywords: quadratic displacement field
zbMATH Keywords: curvilinear section
zbMATH Keywords: positive definiteness
zbMATH Keywords: second variation
zbMATH Keywords: potential energy
zbMATH Keywords: internal stresses
zbMATH Keywords: shell model
zbMATH Keywords: kinematic restraints of thin-walled beams
zbMATH Keywords: geometric effects
zbMATH Keywords: torque
zbMATH Keywords: flexural-extensional
zbMATH Keywords: torsional-extensional coupling terms
MaRDI profile type: Publication
full work available at URL: 0020-7403(88)90004-5
OpenAlex ID: W2087240299
description: scientific article; zbMATH DE number 4072516