Dynamic buckling of a 2-DOF imperfect system with symmetric imperfections

Kounadis, AN; Raftoyiannis, IG

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Raftoyiannis, IG	en
dc.date.accessioned	2014-03-01T01:22:13Z
dc.date.available	2014-03-01T01:22:13Z
dc.date.issued	2005	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16492
dc.subject	Dynamic buckling	en
dc.subject	Imperfect systems	en
dc.subject	Symmetric bifurcation	en
dc.subject	Symmetric imperfections	en
dc.subject.classification	Mechanics	en
dc.subject.other	Dynamic buckling	en
dc.subject.other	Energy-balance equations	en
dc.subject.other	Plane curves	en
dc.subject.other	Buckling	en
dc.subject.other	Computer simulation	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Potential energy	en
dc.subject.other	Nonlinear systems	en
dc.title	Dynamic buckling of a 2-DOF imperfect system with symmetric imperfections	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2005.02.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2005.02.005	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Non-linear dynamic buckling of a two-degree-of freedom (2-DOF) imperfect planar system with symmetric imperfections under a step load of infinite duration (autonomous system) is thoroughly discussed using energy and geometric considerations. This system under the same load applied statically exhibits (prior to limit point) an unstable symmetric bifurcation lying on the non-linear primary equilibrium path. With the aid of the total energy-balance equation of the system and the particular geometry (due to symmetric imperfections) of the plane curve corresponding to the zero level total potential energy ""surface"" exact dynamic buckling loads are obtained without solving the non-linear initial-value problem. The efficiency and the reliability of the technique proposed herein is demonstrated with the aid of various dynamic buckling analyses which are compared with numerical simulation using the Verner-Runge-Kutta scheme, the accuracy of which is checked via the energy-balance equation. © 2005 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2005.02.005	en
dc.identifier.isi	ISI:000233098200001	en
dc.identifier.volume	40	en
dc.identifier.issue	10	en
dc.identifier.spage	1229	en
dc.identifier.epage	1237	en