Static and dynamic stability of a single-degree-of-freedom autonomous system with distinct critical points

Sophianopoulos, DS

dc.contributor.author	Sophianopoulos, DS	en
dc.date.accessioned	2014-03-01T01:12:18Z
dc.date.available	2014-03-01T01:12:18Z
dc.date.issued	1996	en
dc.identifier.issn	1225-4568	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12055
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0030245843&partnerID=40&md5=3f8240db8cfa3f8102e257f4b6e58b0f	en
dc.subject	Critical points	en
dc.subject	Dynamic buckling	en
dc.subject	Saddle	en
dc.subject	Snapping	en
dc.subject	Stable in the large	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamic response	en
dc.subject.other	Mathematical models	en
dc.subject.other	Stability	en
dc.subject.other	Structural analysis	en
dc.subject.other	Autonomous system	en
dc.subject.other	Critical points	en
dc.subject.other	Energy criteria	en
dc.subject.other	Saddle	en
dc.subject.other	Snapping	en
dc.subject.other	Buckling	en
dc.title	Static and dynamic stability of a single-degree-of-freedom autonomous system with distinct critical points	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	The dynamic buckling mechanism of a single-degree-of-freedom dissipative/nondissipative gradient system is thoroughly studied, employing energy criteria. The model is chosen in such a manner, that its corresponding static response is associated with all types of distinct critical points. Under a suddenly applied load of infinite duration, it is found that dynamic buckling, occurring always through a saddle, leads to an escaped motion, which is finally attracted by remote stable equilibrium positions, belonging sometimes also to complementary paths. Moreover, although the existence of initial imperfection changes the static behaviour of the system from limit point instability to bifurcation, it is established that the proposed model is dynamically stable in the large, regardless of the values of all other parameters involved.	en
heal.publisher	TECHNO-PRESS	en
heal.journalName	Structural Engineering and Mechanics	en
dc.identifier.isi	ISI:A1996VL47700005	en
dc.identifier.volume	4	en
dc.identifier.issue	5	en
dc.identifier.spage	529	en
dc.identifier.epage	540	en