On the dynamic buckling mechanism of single-degree-of-freedom dissipative/non-dissipative autonomous systems

Kounadis, AN; Sophianopoulos, DS

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Sophianopoulos, DS	en
dc.date.accessioned	2014-03-01T01:12:09Z
dc.date.available	2014-03-01T01:12:09Z
dc.date.issued	1996	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11973
dc.subject	Autonomic System	en
dc.subject	Discrete System	en
dc.subject	Dissipative System	en
dc.subject	Dynamic Response	en
dc.subject	Lower and Upper Bound	en
dc.subject	Non-linear Model	en
dc.subject	Ordinary Differential Equation	en
dc.subject	Multi Degree of Freedom	en
dc.subject	Single Degree of Freedom	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Differential equations	en
dc.subject.other	Dynamic response	en
dc.subject.other	Integral equations	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Complementary equilibrium path	en
dc.subject.other	Dissipative non dissipative discrete systems	en
dc.subject.other	Dynamic buckling	en
dc.subject.other	Dynamic global response	en
dc.subject.other	Energy criteria	en
dc.subject.other	Non linear autonomous ordinary differential equations	en
dc.subject.other	Single degree of freedom	en
dc.subject.other	Unbounded motion	en
dc.subject.other	Discrete time control systems	en
dc.title	On the dynamic buckling mechanism of single-degree-of-freedom dissipative/non-dissipative autonomous systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jsvi.1996.0306	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jsvi.1996.0306	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	The dynamic global response of single-degree-of-freedom dissipative/non-dissipative gradient discrete systems described by non-linear autonomous ordinary differential equations is thoroughly studied by using energy criteria. Emphasis is given to the study of the dynamic buckling mechanism (always occurring via a saddle) and the associated long term response of the escaped motion. To this end, the dynamic responses of two non-linear models (with a variety of equilibrium configurations) subjected to a suddenly applied load of infinite duration are examined in detail. It is found that dynamic buckling may lead sometimes to an unbounded motion regardless of the existence of another remote stable equilibrium position, while in other cases the latter position may act as point attractor capturing the motion. Moreover, it is established that the stable equilibrium positions of a complementary equilibrium path do not act as point attractors, as may occur in case of multi-degree-of-freedom systems. Finally, exact (for non-dissipative) and very good lower and upper bounds (for dissipative) systems are presented. (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.1996.0306	en
dc.identifier.isi	ISI:A1996UQ46800005	en
dc.identifier.volume	193	en
dc.identifier.issue	3	en
dc.identifier.spage	645	en
dc.identifier.epage	668	en