Nonlinear resonances of parametrically excited risers-numerical and analytic investigation for Ω = 2ω1

Chatjigeorgiou, IK; Mavrakos, SA

dc.contributor.author	Chatjigeorgiou, IK	en
dc.contributor.author	Mavrakos, SA	en
dc.date.accessioned	2014-03-01T01:22:49Z
dc.date.available	2014-03-01T01:22:49Z
dc.date.issued	2005	en
dc.identifier.issn	00457949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16671
dc.subject	Mathieu-Duffing instabilities	en
dc.subject	Parametric resonances	en
dc.subject	Risers	en
dc.subject.other	Approximation theory	en
dc.subject.other	Bending strength	en
dc.subject.other	Damping	en
dc.subject.other	Drag	en
dc.subject.other	Drilling	en
dc.subject.other	Equations of motion	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Marine risers	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Mathieu-Duffing instabilities	en
dc.subject.other	Nonlinear internal resonances	en
dc.subject.other	Parametric resonances	en
dc.subject.other	Risers	en
dc.subject.other	Parametric devices	en
dc.title	Nonlinear resonances of parametrically excited risers-numerical and analytic investigation for Ω = 2ω1	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2004.11.009	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2004.11.009	en
heal.publicationDate	2005	en
heal.abstract	The paper deals with the internal resonances originated from parametric excitation of a slender pipe conveying fluid for marine applications. The reported work focuses on a specific case study, which corresponds to an excitation frequency that is equal to the double of the structure's first lateral natural frequency. The features of the numerical predictions are enlightened through the analytic treatment of the problem, which is carried out using the method of multiple scales. The describing model takes into account both linear and quadratic damping components. For enabling the analytic approximation, only the first two time-dependent modes of the lateral motion are retained. After extensive mathematical manipulations and appropriate simplifications closed-form solutions have been obtained. Finally, the conclusions drawn through the numerical solution of the problem are compared and validated against analytical results. © 2004 Elsevier Ltd. All rights reserved.	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/j.compstruc.2004.11.009	en
dc.identifier.volume	83	en
dc.identifier.issue	8-9	en
dc.identifier.spage	560	en
dc.identifier.epage	573	en