A simplified nonlinear stability analysis of an imperfect rectangular two-bar frame

Ioannidis, GI; Raftoyiannis, IG

dc.contributor.author	Ioannidis, GI	en
dc.contributor.author	Raftoyiannis, IG	en
dc.date.accessioned	2014-03-01T11:44:39Z
dc.date.available	2014-03-01T11:44:39Z
dc.date.issued	2005	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37062
dc.subject	Eccentrically applied loading	en
dc.subject	Imperfect frames	en
dc.subject	Nonlinear stability	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Computational methods	en
dc.subject.other	Loading	en
dc.subject.other	Strain	en
dc.subject.other	System stability	en
dc.subject.other	Eccentically applied loading	en
dc.subject.other	Imperfect frames	en
dc.subject.other	Nonlinear stability analysis	en
dc.subject.other	Nonlinear systems	en
dc.title	A simplified nonlinear stability analysis of an imperfect rectangular two-bar frame	en
heal.type	other	en
heal.identifier.primary	10.1007/s00466-004-0608-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-004-0608-7	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	A simplified nonlinear stability analysis for moderately large rotations and small strains is performed on a rectangular two-bar frame subjected to a concentrated eccentrically applied joint load. Such a simplification consisting of adopting linear kinematic relations leads to very reliable results for the initial postbuckling path in the vicinity of the critical point of the above imperfect frame. The existence of an asymmetric bifurcation point is thoroughly discussed and a direct evaluation of the bifurcational load is readily obtained. Using this technique the effect of imperfection sensitivity is also addressed. A qualitative analysis associated with the physical phenomenon yields a substantial reduction of the computational work. The efficiency and reliability of this approximate nonlinear stability analysis proposed herein is illustrated by means of several examples for which a lot of numerical results based on a more accurate nonlinear analysis are available.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-004-0608-7	en
dc.identifier.isi	ISI:000226095000004	en
dc.identifier.volume	35	en
dc.identifier.issue	2	en
dc.identifier.spage	127	en
dc.identifier.epage	133	en