Buckling and postbuckling analysis of a low parabolic arch

Michaltsos, GT; Sophianopoulos, DS; Konstandakopoulos, TG

dc.contributor.author	Michaltsos, GT	en
dc.contributor.author	Sophianopoulos, DS	en
dc.contributor.author	Konstandakopoulos, TG	en
dc.date.accessioned	2014-03-01T02:48:30Z
dc.date.available	2014-03-01T02:48:30Z
dc.date.issued	1997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33870
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-3042593829&partnerID=40&md5=241b586ae8d6cccee224b306f0062cde	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Buckling	en
dc.subject.other	Compressive strength	en
dc.subject.other	Deformation	en
dc.subject.other	Elasticity	en
dc.subject.other	Functions	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Structural analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Isotropic materials	en
dc.subject.other	Linearly elastic materials	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Parabolic arches	en
dc.subject.other	Arches	en
dc.title	Buckling and postbuckling analysis of a low parabolic arch	en
heal.type	conferenceItem	en
heal.publicationDate	1997	en
heal.abstract	The present work deals with the elastic stability of a shallow parabolic arch and is thoroughly studied its linear, as well as, nonlinear buckling, acted upon by a couple of compressive forces. Initially, the deformation equations are being determined and the expression of the curvature variation is being assessed. At first, applying the corresponding boundary conditions, we reach to a linear homogeneous system, for which and the determinant of its coefficients, one may find the critical buckling loads. For the post-buckling analysis, we use a more accurate expression of the curvature. Using this exact form of the curvature and performing a Taylor expantion of its derivatives, we get a strongly non-linear equation associated to the foregoing problem. Finally, we solve the above equation and one can determine the postbuckling equilibrium paths for the effect of various parameters.	en
heal.journalName	Proceedings - Annual Technical Session, Structural Stability Research Council	en
dc.identifier.spage	115	en
dc.identifier.epage	126+691	en