Elastica buckling analysis of a simple frame

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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

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