Chaoslike phenomena in the non-linear dynamic stability of discrete damped or undamped systems under step loading

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:08:16Z
dc.date.available	2014-03-01T01:08:16Z
dc.date.issued	1991	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10386
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0025899856&partnerID=40&md5=9bd4ede12e00b9d4f9ee8bf26cce7f6e	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computers--Applications	en
dc.subject.other	Mathematical Models	en
dc.subject.other	Stresses--Analysis	en
dc.subject.other	Chaoslike Phenomena	en
dc.subject.other	Double Inverted Pendulum	en
dc.subject.other	Nonlinear Dynamic Buckling	en
dc.subject.other	Nonlinear Dynamic Stability	en
dc.subject.other	Step Loading	en
dc.subject.other	Undamped Systems	en
dc.subject.other	Structural Analysis	en
dc.title	Chaoslike phenomena in the non-linear dynamic stability of discrete damped or undamped systems under step loading	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	The non-linear dynamic buckling of a two-degree-of-freedom, damped or undamped, multiple-parameter, structural system under step loading of infinite duration, is thoroughly examined. Attention is mainly focused on the dynamic stability of imperfect multiple-parameter systems which under static loading may either lose their stability through a limit point or exhibit a continuously rising equilibrium path. Considering the stability of motion in the large, in the sense of Lagrange, the dynamic buckling load is defined as the smallest load for which an escaped (leading to an unbounded) motion is initiated. A lower bound estimate very close to the exact dynamic buckling load is also established. The discussion of the individual and combined effect on the dynamic buckling load of this autonomous system reveals some interesting phenomena such as: discontinuity in the dynamic buckling load and considerable sensitivity to damping and to initial conditions. Chaoslike and metastability phenomena are also revealed for a simple deterministic system of structural engineering importance. © 1991.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.isi	ISI:A1991FF12900003	en
dc.identifier.volume	26	en
dc.identifier.issue	3-4	en
dc.identifier.spage	301	en
dc.identifier.epage	311	en