Non-linear dynamic buckling of a simple model via the Liapunov direct method

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:12:08Z
dc.date.available	2014-03-01T01:12:08Z
dc.date.issued	1996	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11962
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Dynamic response	en
dc.subject.other	Load testing	en
dc.subject.other	Lyapunov methods	en
dc.subject.other	Models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Sensitivity analysis	en
dc.subject.other	Global stability	en
dc.subject.other	Liapunov direct method	en
dc.subject.other	Nonlinear dynamic buckling	en
dc.subject.other	Nonlinear equilibrium path	en
dc.subject.other	One degree of freedom dissipative nondissipative model	en
dc.subject.other	Buckling	en
dc.title	Non-linear dynamic buckling of a simple model via the Liapunov direct method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jsvi.1996.0334	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jsvi.1996.0334	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	The non-linear dynamic response of a simple one-degree-of-freedom dissipative/nondissipative model under the more general case of partial follower loading is considered. The study is confined to imperfection sensitive systems which lose their static stability through a limit point. The analysis proceeds first by employing the inflection point criterion for dynamic buckling which is subsequently confirmed via the Liapunov direct method for global stability (instability). Attention is focused on determining the level of the dynamic buckling load above which the associated equilibria on the fundamental equilibrium path are globally unstable, although they are locally asymptotically stable. (C) 1996 Academic Press Limited	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.doi	10.1006/jsvi.1996.0334	en
dc.identifier.isi	ISI:A1996UU95600011	en
dc.identifier.volume	193	en
dc.identifier.issue	5	en
dc.identifier.spage	1091	en
dc.identifier.epage	1097	en