Nonlinear dynamic buckling and stability of autonomous structural systems

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:09:28Z
dc.date.available	2014-03-01T01:09:28Z
dc.date.issued	1993	en
dc.identifier.issn	0020-7403	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11010
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0027641465&partnerID=40&md5=a8310e9499b85b8782f8398a10ea7087	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Differential equations	en
dc.subject.other	Dynamics	en
dc.subject.other	Stability	en
dc.subject.other	Autonomous structural systems	en
dc.subject.other	Nonlinear dynamic buckling	en
dc.subject.other	Structural analysis	en
dc.title	Nonlinear dynamic buckling and stability of autonomous structural systems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	A general approach for the nonlinear dynamic buckling and stability of dissipative or nondissipative structural systems governed by autonomous ordinary differential equations (ODEs) is presented. Geometrically imperfect systems with or without symmetric imperfections, as well as statically stable systems, which, in addition to a monotonically rising (stable) equilibrium path exhibit an unstable complementary path, are considered. The role of the dynamic buckling mechanism of the basin of attraction of a stable equilibrium point (on the prebuckling path), as well as the inset (stable) and outset (unstable) manifolds of a saddle (on a physical or complementary unstable path), are comprehensively explained. A static energy criterion for determining dynamic buckling loads for vanishing (but nonzero) damping and lower bound estimates of exact dynamic buckling loads are presented. Metastability, loading discontinuity and chaos-like phenomena are also revealed. The analysis is supplemented by two illustrative models of practical engineering importance. © 1993.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Mechanical Sciences	en
dc.identifier.isi	ISI:A1993LN50400001	en
dc.identifier.volume	35	en
dc.identifier.issue	8	en
dc.identifier.spage	643	en
dc.identifier.epage	656	en