On the reliability of classical divergence instability analyses of Ziegler's nonconservative model

Kounadis, AN; Avraam, T; Mallis, J

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Avraam, T	en
dc.contributor.author	Mallis, J	en
dc.date.accessioned	2014-03-01T01:08:59Z
dc.date.available	2014-03-01T01:08:59Z
dc.date.issued	1992	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10772
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026835572&partnerID=40&md5=b0880dfd2c18d0dcf5d2a6a0861935f3	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Dynamics	en
dc.subject.other	Classical Divergence Instability Analysis	en
dc.subject.other	Dynamic Analysis	en
dc.subject.other	Non-Dissipative Autonomous Systems	en
dc.subject.other	Nonlinear Static Analysis	en
dc.subject.other	Ziegler's Nonconservative Model	en
dc.subject.other	System Stability	en
dc.title	On the reliability of classical divergence instability analyses of Ziegler's nonconservative model	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	The critical states of divergence instability of the two-degree-of-freedom Ziegler's model under a nonconservative follower load are reexamined with the aid of a nonlinear static and dynamic analysis. The long-term postcritical response is studied by discussing the effect of various parameters such as geometric and stiffness nonlinearities, linear viscous damping and initial geometric imperfections. To this end the stability of equilibria and limit cycles is explored with the aid of global solutions based on the original nonlinear equations of motion in order to include nonperiodic (chaotic) motion phenomena. New important results obtained by nonlinear static and dynamic analyses contradict existing findings based on classical linearized solutions. It is found that the critical load coincides with the corresponding dynamic one (associated with a divergent motion) only for models without precritical deformations. Some chaoslike phenomena of dissipative or non-dissipative autonomous systems due to competing equilibrium point attractors are also presented. © 1992.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.isi	ISI:A1992HL44900003	en
dc.identifier.volume	95	en
dc.identifier.issue	3	en
dc.identifier.spage	317	en
dc.identifier.epage	330	en