Global stabilty analysis of a classical non-conservative system under a follower load

Kounadis, AN; Avraam, T

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Avraam, T	en
dc.date.accessioned	2014-03-01T01:08:22Z
dc.date.available	2014-03-01T01:08:22Z
dc.date.issued	1991	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10447
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026420005&partnerID=40&md5=4efb64d5f7e4e6b866428891f1204e54	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Acoustic Waves - Stability	en
dc.subject.other	Mathematical Models - Applications	en
dc.subject.other	Follower Loads	en
dc.subject.other	Ziegler's Dissipative Model	en
dc.subject.other	Elastic Waves	en
dc.title	Global stabilty analysis of a classical non-conservative system under a follower load	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	The bifurcations, critical conditions and global stability of the classical two-degree-of freedom Ziegler's dissipative model under a partial follower load are thoroughly discussed with the aid of a complete non-linear dynamic analysis. Attention is mainly focused on the range of values of the non-conservativeness loading parameter for which adjacent equilibria do not exist. Various characteristic findings are established by studying the nature of the Jacobian matrix eigenvalues associated with the above non-linear autonomous dissipative system. It is found that the system exhibits stable Hopf bifurcations (global stability) for the entire region of non-adjacent equilibria, while the classical linear stability analysis leads to flutter instability (local instability). Moreover, in an explicit general form, the significant effect of damping on the critical (dynamic bifurcation) load is established. On the basis of the latter, the critical loads for the case of vanishing damping are found to be completely different from those of the classical (local) stability analysis. All findings of this analysis are checked against numerical solution of the equations of motion. © 1991.	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.isi	ISI:A1991GK57300005	en
dc.identifier.volume	150	en
dc.identifier.issue	1	en
dc.identifier.spage	67	en
dc.identifier.epage	82	en