Stability of weakly-damped systems under follower loads exhibiting Hopf bifurcations

Avraam, TP; Raftoyiannis, IG

dc.contributor.author	Avraam, TP	en
dc.contributor.author	Raftoyiannis, IG	en
dc.date.accessioned	2014-03-01T01:31:58Z
dc.date.available	2014-03-01T01:31:58Z
dc.date.issued	2009	en
dc.identifier.issn	0093-6413	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19997
dc.subject	Dynamic bifurcations	en
dc.subject	Dynamic stability	en
dc.subject	Nonconservative systems	en
dc.subject.classification	Mechanics	en
dc.subject.other	Autonomous systems	en
dc.subject.other	Damped model	en
dc.subject.other	Damped systems	en
dc.subject.other	Dynamic stability	en
dc.subject.other	Flutter instability	en
dc.subject.other	Follower loads	en
dc.subject.other	Loading parameters	en
dc.subject.other	Non-linear dynamics	en
dc.subject.other	Nonconservative systems	en
dc.subject.other	Numerical scheme	en
dc.subject.other	Runge-Kutta	en
dc.subject.other	Tip load	en
dc.subject.other	Hopf bifurcation	en
dc.subject.other	Runge Kutta methods	en
dc.subject.other	System stability	en
dc.title	Stability of weakly-damped systems under follower loads exhibiting Hopf bifurcations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mechrescom.2009.07.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mechrescom.2009.07.001	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	The existence of flutter instability through a Hopf (degenerate or generic) bifurcation prior to divergence (static) instability of Ziegler's cantilever, weakly-damped models under partial follower compressive tip load (autonomous systems) is thoroughly discussed. Attention is focused on establishing the locus of the above dynamic bifurcations in regions of divergence defined by the nonconservative loading parameter eta. The local as well as the global nonlinear dynamic instability of such bifurcations is conveniently established using the Runge-Kutta numerical scheme. Several examples for a variety of values of parameters will demonstrate the proposed technique as well as the new findings presented herein. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mechanics Research Communications	en
dc.identifier.doi	10.1016/j.mechrescom.2009.07.001	en
dc.identifier.isi	ISI:000272119200001	en
dc.identifier.volume	36	en
dc.identifier.issue	8	en
dc.identifier.spage	867	en
dc.identifier.epage	874	en