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Static and dynamic, local and global, bifurcations in nonlinear autonomous structural systems

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dc.contributor.author Kounadis, AN en
dc.date.accessioned 2014-03-01T01:09:33Z
dc.date.available 2014-03-01T01:09:33Z
dc.date.issued 1993 en
dc.identifier.issn 0001-1452 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/11076
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-0027642863&partnerID=40&md5=78b4f2997e8a5c8d0d317e1268116d67 en
dc.subject.classification Engineering, Aerospace en
dc.subject.other Buckling en
dc.subject.other Damping en
dc.subject.other Dynamic loads en
dc.subject.other Dynamic response en
dc.subject.other Eigenvalues and eigenfunctions en
dc.subject.other Equations of motion en
dc.subject.other Stability criteria en
dc.subject.other System stability en
dc.subject.other Bifurcations en
dc.subject.other Jacobian eigenvalues en
dc.subject.other Local and global en
dc.subject.other Nonlinear autonomous en
dc.subject.other Stability of equilibrium en
dc.subject.other Static and dynamic en
dc.subject.other Structural systems en
dc.subject.other Structural analysis en
dc.title Static and dynamic, local and global, bifurcations in nonlinear autonomous structural systems en
heal.type journalArticle en
heal.language English en
heal.publicationDate 1993 en
heal.abstract Discrete damped or undamped gradient systems described by nonlinear autonomous ordinary differential equations (ODE) of motion are examined in detail. Emphasis is given to the relationship between static with possibly existing dynamic bifurcations. Criteria for dynamic bifurcations and stability of precritical, critical, and postcritical states associated with the nature of Jacobian eigenvalues are also presented. Cases of discrepancies between local and global dynamic analysis regarding the stability of equilibriums are reported for the first time. Finally, using a simple energy criterion, exact dynamic buckling loads for vanishing but nonzero damping are readily obtained. en
heal.publisher AMER INST AERONAUT ASTRONAUT en
heal.journalName AIAA journal en
dc.identifier.isi ISI:A1993LR72600014 en
dc.identifier.volume 31 en
dc.identifier.issue 8 en
dc.identifier.spage 1468 en
dc.identifier.epage 1477 en


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