Non-linear dynamic stability of damped Beck's column with variable cross-section

Katsikadelis, JT; Tsiatas, GC

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:26:44Z
dc.date.available	2014-03-01T01:26:44Z
dc.date.issued	2007	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18205
dc.subject	Analog equation method	en
dc.subject	Beck's column	en
dc.subject	Non-linear dynamic analysis	en
dc.subject	Non-linear dynamic stability	en
dc.subject	Variable cross-section	en
dc.subject.classification	Mechanics	en
dc.subject.other	Columns (structural)	en
dc.subject.other	Computational methods	en
dc.subject.other	Deformation	en
dc.subject.other	Differential equations	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Analog equation method	en
dc.subject.other	Beck's column	en
dc.subject.other	Non-linear dynamic stability	en
dc.subject.other	Variable cross-section	en
dc.subject.other	Asymptotic stability	en
dc.title	Non-linear dynamic stability of damped Beck's column with variable cross-section	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2006.10.019	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2006.10.019	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper the non-linear dynamic stability of Beck's column with variable mass and stiffness properties in the presence of damping (both internal and external) is investigated using a complete non-linear dynamic analysis. This approach permits the examination of the global stability of the system in contrast to the static non-linear one, which, though more economical in computational cost, is associated only with the loss of local stability via flutter or divergence. The governing equations describing the dynamic response are derived in terms of the displacements taking also into account the axial deformation, which has a striking influence on the critical load. Since the cross-sectional properties of the beam vary along its axis, the resulting coupled non-linear 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 FEM solution, which may experience lack of convergence. Interesting conclusions are drawn. The important, however, finding is that the inclusion of the axial deformation affects highly the critical load of Beck's column with varying cross-sectional properties, while it leaves it unaltered for Beck's column with uniform cross-section. (C) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2006.10.019	en
dc.identifier.isi	ISI:000246644400014	en
dc.identifier.volume	42	en
dc.identifier.issue	1	en
dc.identifier.spage	164	en
dc.identifier.epage	171	en