Non-potential dissipative systems exhibiting periodic attractors in regions of divergence

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:13:13Z
dc.date.available	2014-03-01T01:13:13Z
dc.date.issued	1997	en
dc.identifier.issn	0960-0779	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12366
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0001600612&partnerID=40&md5=6150ed8749acfc9388386f248c5544dc	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.title	Non-potential dissipative systems exhibiting periodic attractors in regions of divergence	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	The dynamics of non-conservative dissipative systems, under partial follower loading, in regions of divergence (static) instability is thoroughly reexamined. Such autonomous non-potential systems are discussed as: (a) perfect bifurcational systems with trivial fundamental paths, and (b) imperfection sensitive (or limit point) systems. For systems (a), the conditions under which the loss of stability is due either to a Hopf bifurcation (purely imaginary eigenvalues) or to a double zero eigenvalue are properly established. New phenomena (i.e. equilibria associated with periodic attractors, flutter instability occurring prior to divergence, disappearance of the region of flutter instability, destabilization near the double branching point, etc.) are discovered contradicting existing and widely accepted results based on classical analyses. For systems (b), energy and topological criteria related to the dynamic buckling mechanism are comprehensively presented. These criteria allow us to establish readily exact and approximate dynamic buckling loads of excellent accuracy for structural design purposes. The theoretical findings are verified via a variety of numerical results of two models, of two and three degrees of freedom. © 1997 Elsevier Science Ltd.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Chaos, Solitons and Fractals	en
dc.identifier.isi	ISI:A1997WZ30900010	en
dc.identifier.volume	8	en
dc.identifier.issue	4 SPEC. ISS.	en
dc.identifier.spage	583	en
dc.identifier.epage	612	en