Elastica buckling analysis of a simple frame

Christodoulou, AA; Kounadis, AN

dc.contributor.author	Christodoulou, AA	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:06:35Z
dc.date.available	2014-03-01T01:06:35Z
dc.date.issued	1986	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9488
dc.subject.classification	Mechanics	en
dc.subject.other	STRUCTURAL DESIGN - Stability	en
dc.subject.other	DEFORMATION ANALYSIS	en
dc.subject.other	DISPLACEMENTS	en
dc.subject.other	KINEMATIC STABILITY	en
dc.subject.other	POSTBUCKLING	en
dc.subject.other	STRUCTURAL FRAMES	en
dc.title	Elastica buckling analysis of a simple frame	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01176370	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01176370	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	A nonlinear stability analysis based on an analytical approach of elastic type is performed for the first time on a simple two-bar frame. In order to obtain an exact determination of its buckling and postbuckling behavior the effect of compressibility of the bar centroidal axis is taken into account. This effect implies very slight increase in the buckling load which can be safely ignored. Moreover, it is found that even in the most extreme cases of geometry and stiffness, the critical buckling displacements are of negligibly small magnitude contrary to existing results obtained by the nonlinear kinematic stability analysis. The two foregoing findings enable us to replace the limit point by a bifurcation point. Such a simplification, being correct in an asymptotic sense, allows the application of a stability analysis of frames by considering their bars as incompressible. A variety of numerical results shows the degree of accuracy and the range of applicability of the aforementioned nonlinear kinematic stability analysis by comparing it with the exact method of stability analysis proposed herein. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01176370	en
dc.identifier.isi	ISI:A1986E263500013	en
dc.identifier.volume	61	en
dc.identifier.issue	1-4	en
dc.identifier.spage	153	en
dc.identifier.epage	163	en