Instability of cantilever beams with non-linear elements: Butterfly catastrophe

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:16Z
dc.date.available	2014-03-01T01:06:16Z
dc.date.issued	1984	en
dc.identifier.issn	0020-7403	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9282
dc.subject	Cantilever Beam	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	STRUCTURAL ANALYSIS - Mathematical Models	en
dc.subject.other	BUTTERFLY CATASTROPHE	en
dc.subject.other	CANTILEVER BEAMS	en
dc.subject.other	BEAMS AND GIRDERS	en
dc.title	Instability of cantilever beams with non-linear elements: Butterfly catastrophe	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0020-7403(84)90047-X	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0020-7403(84)90047-X	en
heal.language	English	en
heal.publicationDate	1984	en
heal.abstract	The instability of an elastic cantilever beam combined with a non-linear element, which is subjected to axial and normal concentrated and distributed loads was studied. It was shown that the total potential energy u of the system was equivalent to a universal unfolding of a butterfly catastrophe and, therefore, its approximate locus of failure may be studied by means of the bifurcation set of this type of elementary catastrophe. The problem is a generalization of the case of cantilever beams connected with elastic elements, whose solution is in agreement with the general results. established in the paper. © 1984.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Mechanical Sciences	en
dc.identifier.doi	10.1016/0020-7403(84)90047-X	en
dc.identifier.isi	ISI:A1984TA56200004	en
dc.identifier.volume	26	en
dc.identifier.issue	4	en
dc.identifier.spage	265	en
dc.identifier.epage	275	en