The existence of regions of divergence instability for nonconservative systems under follower forces

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:06:13Z
dc.date.available	2014-03-01T01:06:13Z
dc.date.issued	1983	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9234
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0020696074&partnerID=40&md5=7146445ec7abbbe72f345ad6b98b33df	en
dc.subject.classification	Mechanics	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Analysis	en
dc.subject.other	SYSTEM STABILITY - Theory	en
dc.subject.other	COLUMNS	en
dc.title	The existence of regions of divergence instability for nonconservative systems under follower forces	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1983	en
heal.abstract	In this investigation, the existence of regions of divergence instability for an elastically restrained column under a follower compressive force at its end, is discussed. Necessary and sufficient conditions for the existence of regions of divergence instability are established. The boundary between flutter and divergence instability passes always through a double critical point, where the first and second static (buckling) eigenmodes coincide. The eigenvalues (buckling loads) of nonself-adjoint problems of this type are positive and distinct for the entire region of divergence instability, except at its boundary, where the first and second eigenvalues coincide. At this boundary, where the buckling mechanism changes from divergence to flutter and vice-versa, a sudden increase in the critical load occurs with the flutter load always being higher than the corresponding divergence load. © 1983.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.isi	ISI:A1983RL42900005	en
dc.identifier.volume	19	en
dc.identifier.issue	8	en
dc.identifier.spage	725	en
dc.identifier.epage	733	en