A method for the direct evaluation of buckling loads of an imperfect two-bar frame

Ioannidis, GI; Raftoyiannis, IG; Kounadis, AN

dc.contributor.author	Ioannidis, GI	en
dc.contributor.author	Raftoyiannis, IG	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:21:44Z
dc.date.available	2014-03-01T01:21:44Z
dc.date.issued	2005	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16345
dc.subject	Imperfect frames	en
dc.subject	Loading eccentricity	en
dc.subject	Nonlinear stability	en
dc.subject.classification	Mechanics	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Potential energy	en
dc.subject.other	Structural frames	en
dc.subject.other	Buckling loads	en
dc.subject.other	Imperfect frames	en
dc.subject.other	Loading eccentricity	en
dc.subject.other	Nonlinear stability	en
dc.subject.other	Buckling	en
dc.title	A method for the direct evaluation of buckling loads of an imperfect two-bar frame	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-004-0352-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-004-0352-7	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The pre-critical critical and post-critical nonlinear response of an imperfect due to loading eccentricity two-bar frame is thoroughly discussed. In seeking the maximum load-carrying capacity of this non-sway frame it was qualitatively established that its loss of stability occurs through a limit point and hence the case of an asymmetric bifurcation can be considered only in an asymptotic sense. After deriving the nonlinear equilibrium equations with unknowns for the two bar axial forces we can consider such a continuous system as a two-degree-of-freedom model with generalized coordinates the above axial forces. Then the equilibrium equations and the stability determinant of the frame can be determined in terms of the first and second derivatives of its total potential energy (TPE) with respect to the axial forces. The vanishing of the second variation of the TPE together with the equilibrium equations allows a simple and direct evaluation of the buckling load. Numerical examples demonstrate the efficiency and the reliability of the proposed method. © Springer-Verlag Berlin Heidelberg 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-004-0352-7	en
dc.identifier.isi	ISI:000227555100001	en
dc.identifier.volume	74	en
dc.identifier.issue	5-6	en
dc.identifier.spage	299	en
dc.identifier.epage	308	en