Non-conservative systems with symmetrizable stiffness matrices exhibiting limit cycles

Kounadis, AN; Simitses, GJ

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Simitses, GJ	en
dc.date.accessioned	2014-03-01T01:13:13Z
dc.date.available	2014-03-01T01:13:13Z
dc.date.issued	1997	en
dc.identifier.issn	00207462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12361
dc.subject	Dissipation of energy	en
dc.subject	Limit cycles	en
dc.subject	Non-conservative autonomous systems	en
dc.subject	Non-linear dynamics	en
dc.subject	Non-potential asymmetric systems	en
dc.subject	Symmetrizable stiffness matrices	en
dc.subject.other	Approximation theory	en
dc.subject.other	Buckling	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Dynamic response	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Energy dissipation	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	System stability	en
dc.subject.other	Limit cycles	en
dc.subject.other	Nonconservative autonomous systems	en
dc.subject.other	Nonpotential asymmetric systems	en
dc.subject.other	Symmetrizable stiffness matrix	en
dc.subject.other	Dynamics	en
dc.title	Non-conservative systems with symmetrizable stiffness matrices exhibiting limit cycles	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7462(96)00070-4	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7462(96)00070-4	en
heal.publicationDate	1997	en
heal.abstract	Non-conservative dissipative systems under partial follower loading, with stiffness matrices that are symmetrizable, are reexamined with the aid of non-linear analysis. In this work, the conditions under which the above autonomous systems may experience a limit cycle response, stable (periodic attractor) or unstable (dynamic instability via flutter) in a certain region of existence of adjacent equilibria (region of divergence instability) are properly established. This region where a limit cycle response may occur is defined by an interval of values of the non-conservativeness loading parameter ηwith lower bound η = η0 (boundary between existence and non-existence of adjacent equilibria) and upper bound η = 0.50 (being invariant with respect to all other parameters). In this region although the set of buckling eigenvectors is complete (associated with distinct eigenvalues) there is one postbuckling equilibrium path passing through two consecutive branching points. Hence, only non-conservative systems with η > 0.50 (having all postbuckling equilibrium paths independent of each other) behave dynamically like symmetric (conservative) systems. These findings are verified with the aid of various numerical examples. © 1997 Elsevier Science Ltd. All rights reserved.	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/S0020-7462(96)00070-4	en
dc.identifier.volume	32	en
dc.identifier.issue	3	en
dc.identifier.spage	515	en
dc.identifier.epage	529	en