A geometric approach for establishing dynamic buckling loads of autonomous potential N-degree-of-freedom systems

Kounadis, AN; Gantes, CJ; Raftoyiannis, IG

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Gantes, CJ	en
dc.contributor.author	Raftoyiannis, IG	en
dc.date.accessioned	2014-03-01T01:19:44Z
dc.date.available	2014-03-01T01:19:44Z
dc.date.issued	2004	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15690
dc.subject	Degree of Freedom	en
dc.subject	Energy Balance	en
dc.subject	Geometric Approach	en
dc.subject	Initial Value Problem	en
dc.subject	Non-linear Dynamics	en
dc.subject	Potential Energy	en
dc.subject	runge kutta	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Damping	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Kinetic energy	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Potential energy	en
dc.subject.other	Problem solving	en
dc.subject.other	Rayleigh scattering	en
dc.subject.other	Reliability	en
dc.subject.other	Dynamic buckling	en
dc.subject.other	Energy functions	en
dc.subject.other	Static instability	en
dc.subject.other	Symmetric imperfections	en
dc.subject.other	Buckling	en
dc.title	A geometric approach for establishing dynamic buckling loads of autonomous potential N-degree-of-freedom systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2004.01.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2004.01.005	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Non-linear dynamic buckling of autonomous non-dissipative N-degree-of-freedom systems whose static instability is governed either by a limit point or by an unstable symmetric bifurcation is thoroughly discussed using energy and geometric considerations. Characteristic distances associated with the geometry of the zero level total potential energy ""hypersurface"" in connection with total energy-balance equation lead to dynamic (global) instability criteria. These criteria allow the determination of ""exact"" dynamic buckling loads without solving the non-linear initial-value problem. The reliability and efficiency of the proposed geometric approach is demonstrated via several dynamic buckling analyses of 3-degree-of-freedom systems which subsequently are compared with corresponding numerical analyses based on the Verner-Runge-Kutta scheme. © 2004 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.2004.01.005	en
dc.identifier.isi	ISI:000223452600008	en
dc.identifier.volume	39	en
dc.identifier.issue	10	en
dc.identifier.spage	1635	en
dc.identifier.epage	1646	en