NONLINEAR STABILITY AND DYNAMIC BUCKLING OF AUTONOMOUS DISSIPATIVE SYSTEMS

KOUNADIS, AN

dc.contributor.author	KOUNADIS, AN	en
dc.date.accessioned	2014-03-01T01:44:00Z
dc.date.available	2014-03-01T01:44:00Z
dc.date.issued	1995	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24255
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	CHAOSLIKE PHENOMENA	en
dc.subject.other	STRUCTURAL SYSTEMS	en
dc.title	NONLINEAR STABILITY AND DYNAMIC BUCKLING OF AUTONOMOUS DISSIPATIVE SYSTEMS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	An analytical approach for the stability and the dynamic buckling response of multiple-parameter dissipative systems described by autonomous differential equations is presented. Attention is focused on general imperfect structural systems with or without symmetric imperfections including statically stable systems which display also an unstable complementary path. The significance of the unstable (physical or complementary) path, of the basin of attraction of stable equilibria, and of the insect and outset manifolds of a saddle on the dynamic buckling mechanism is comprehensively examined with the aid of basic theorems of local dynamic analysis. A contradiction between local and global dynamic analysis as well as cases of dynamic buckling with sensitivity to initial conditions and damping, discontinuity and metastability phenomena are also explored. Three simple dissipative systems of structural engineering importance are used as illustrative models.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK	en
dc.identifier.isi	ISI:A1995QW35800004	en
dc.identifier.volume	75	en
dc.identifier.issue	4	en
dc.identifier.spage	283	en
dc.identifier.epage	293	en