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

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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


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