New phenomena associated with the nonlinear dynamics and stability of autonomous damped systems under various types of loading

Sophianopoulos, DS

dc.contributor.author	Sophianopoulos, DS	en
dc.date.accessioned	2014-03-01T01:50:04Z
dc.date.available	2014-03-01T01:50:04Z
dc.date.issued	2000	en
dc.identifier.issn	1225-4568	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25986
dc.subject	autonomous systems	en
dc.subject	dynamic buckling	en
dc.subject	point attractors	en
dc.subject	static and dynamic bifurcations	en
dc.subject	chaotic transients	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	DISSIPATIVE SYSTEMS	en
dc.subject.other	DIVERGENCE INSTABILITY	en
dc.subject.other	STRUCTURAL SYSTEMS	en
dc.subject.other	BIFURCATIONS	en
dc.subject.other	REGIONS	en
dc.title	New phenomena associated with the nonlinear dynamics and stability of autonomous damped systems under various types of loading	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	The present study deals with the nonlinear dynamics and stability of autonomous dissipative either imperfect potential (limit point) systems or perfect (bifurcational) non-potential ones. Through a fully nonlinear dynamic analysis, performed on two simple 2-DOF models corresponding to the classes of systems mentioned above, and with the aid of basic definitions of the theory of nonlinear dynamical systems, new important phenomena are revealed. For the first class of systems a third possibility of postbuckling dynamic response is offered, associated with a point attractor on the prebuckling primary path, while for the second one the new findings are chaos-like (most likely chaotic) motions, consecutive regions of point and periodic attractors, series of global bifurcations and point attractor response of always existing complementary equilibrium configurations, regardless of the value of the nonconservativeness parameter.	en
heal.publisher	TECHNO-PRESS	en
heal.journalName	STRUCTURAL ENGINEERING AND MECHANICS	en
dc.identifier.isi	ISI:000085432300007	en
dc.identifier.volume	9	en
dc.identifier.issue	4	en
dc.identifier.spage	397	en
dc.identifier.epage	416	en