Dynamic buckling of an arch model under impact loading

Kounadis, AN; Raftoyiannnis, J; Mallis, J

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Raftoyiannnis, J	en
dc.contributor.author	Mallis, J	en
dc.date.accessioned	2014-03-01T01:07:25Z
dc.date.available	2014-03-01T01:07:25Z
dc.date.issued	1989	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9993
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0024754844&partnerID=40&md5=cf1a3d7adfe030d9f6d1842ae7f29921	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematical Models	en
dc.subject.other	Structural Analysis--Dynamic Response	en
dc.subject.other	Dynamic Buckling Load	en
dc.subject.other	Impact Loading	en
dc.subject.other	Non-Linear Stability Analysis	en
dc.subject.other	Snap-Through Buckling Strength	en
dc.subject.other	Static Stability Analysis	en
dc.subject.other	Unbounded Motion	en
dc.subject.other	Arches	en
dc.title	Dynamic buckling of an arch model under impact loading	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	A comprehensive non-linear stability analysis has been performed on an one-degree-of freedom arch for establishing its dynamic (elastic) snap-through buckling strength under impact loading. Such a loading consists of a falling body striking centrally the joint mass of the arch in such a way that a completely plastic impact can be postulated. It has been found that the dynamic buckling load of such a kind of loading-associated with an unbounded motion-can be established by using a static stability analysis. More specifically, it has been shown that the dynamic buckling load corresponds unstable static equilibrium state where the total potential of the system is zero. Furthermore, it has been proved that the second variation of the total potential energy at the foregoing unstable equilibrium state is negative definite. This implies that the curves ""loading versus displacement"" resulting by vanishing the total potential has always a maximum on the above-mentioned unstable state. These findings have been verified by employing a non-linear dynamic analysis. © 1989.	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.isi	ISI:A1989AW22500001	en
dc.identifier.volume	134	en
dc.identifier.issue	2	en
dc.identifier.spage	193	en
dc.identifier.epage	202	en