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

Kounadis, AN

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