Post-critical behavior of damped beam columns with variable cross section subjected to distributed follower forces

Tsiatas, GC; Katsikadelis, JT

dc.contributor.author	Tsiatas, GC	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:31:41Z
dc.date.available	2014-03-01T01:31:41Z
dc.date.issued	2009	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19882
dc.subject	Analog equation method	en
dc.subject	Distributed follower forces	en
dc.subject	Nonconservative	en
dc.subject	Nonlinear dynamic analysis	en
dc.subject	Nonlinear dynamic stability	en
dc.subject	Post-critical	en
dc.subject	Variable cross section	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation method	en
dc.subject.other	Distributed follower forces	en
dc.subject.other	Nonconservative	en
dc.subject.other	Nonlinear dynamic analysis	en
dc.subject.other	Nonlinear dynamic stability	en
dc.subject.other	Post-critical	en
dc.subject.other	Variable cross section	en
dc.subject.other	Damping	en
dc.subject.other	Deformation	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Equations of motion	en
dc.subject.other	Flutter (aerodynamics)	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear control systems	en
dc.subject.other	Stiffness	en
dc.subject.other	System stability	en
dc.subject.other	Nonlinear equations	en
dc.title	Post-critical behavior of damped beam columns with variable cross section subjected to distributed follower forces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11071-008-9412-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11071-008-9412-9	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper the post-critical behavior of beam columns with variable mass and stiffness properties subjected to follower forces arbitrarily distributed along their length in the presence of damping (both internal and external) is investigated using a complete nonlinear dynamic analysis. Although the static nonlinear analysis is more economical in computational cost, it is associated only with the loss of local stability via flutter or divergence. Thus, the nonlinear dynamic analysis is adopted in order to examine the global stability of the system. The governing equations of hyperbolic type are derived in terms of the displacements by considering (a) nonlinear response including the axial deformation, (b) nonlinear response excluding the axial deformation and (c) linear response. Moreover, as the cross-sectional properties of the beam vary along its axis, the resulting coupled nonlinear differential equations have variable coefficients. Their solution is achieved using the analog equation method (AEM) of Katsikadelis. Besides its accuracy and effectiveness, this method overcomes the shortcoming of a possible FEM solution which may experience a lack of convergence. The problems treated in this investigation include beam columns with various load distributions, such as constant, linear and parabolic. Some of the conclusions detected in studying the nonlinear dynamic stability of Beck's column with variable cross section (Katsikadelis and Tsiatas, Nonlinear dynamic stability of damped Beck's column with variable cross section. Int. J. Non-linear Mech. 42, 164-171, 2007), are also valid for the case of distributed loads. The important, however, finding is that the post-critical response under distributed loads depends on the law of distribution of mass and stiffness properties, which may lead also to explosive flutter (unbounded amplitude), in contrast to Beck's column (end-tip load) where the motion is always bounded. © 2008 Springer Science+Business Media B.V.	en
heal.publisher	SPRINGER	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1007/s11071-008-9412-9	en
dc.identifier.isi	ISI:000265826100009	en
dc.identifier.volume	56	en
dc.identifier.issue	4	en
dc.identifier.spage	429	en
dc.identifier.epage	441	en