DYNAMIC BUCKLING ESTIMATES FOR DISCRETE-SYSTEMS UNDER STEP LOADING

KOUNADIS, AN; MALLIS, J; RAFTOYIANNIS, J

dc.contributor.author	KOUNADIS, AN	en
dc.contributor.author	MALLIS, J	en
dc.contributor.author	RAFTOYIANNIS, J	en
dc.date.accessioned	2014-03-01T01:08:20Z
dc.date.available	2014-03-01T01:08:20Z
dc.date.issued	1991	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10419
dc.subject	Discrete System	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	STABILITY	en
dc.title	DYNAMIC BUCKLING ESTIMATES FOR DISCRETE-SYSTEMS UNDER STEP LOADING	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.19910711006	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.19910711006	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	This paper deals with nonlinear dynamic buckling analysis of imperfection sensitive or more generally limit point discrete systems under suddenly applied loads of infinite duration. Static and dynamic stability conditions and respective buckling estimates for such systems without or with damping are properly established. It was shown that the static stability criterion associated with zero total potential energy and negative definite second variation leads always to exact dynamic buckling loads for one-degree-of-freedom systems if damping is ignored, and to lower bound buckling estimates if this effect is included. It was also found that such a static criterion leads always to lower bound dynamic buckling estimates for multi-degree-of-freedom systems with or without damping. Moreover, it was established that dynamic buckling associated with an unbounded (damped or undamped) motion occurs for that magnitude of the load for which the velocity of the phase point corresponding to any one of the generalized coordinates of the system vanishes for the first time.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK	en
dc.identifier.doi	10.1002/zamm.19910711006	en
dc.identifier.isi	ISI:A1991GU60600003	en
dc.identifier.volume	71	en
dc.identifier.issue	10	en
dc.identifier.spage	391	en
dc.identifier.epage	402	en