A finite differences formulation for the linear and nonlinear dynamics of 2D catenary risers

Chatjigeorgiou, IK

dc.contributor.author	Chatjigeorgiou, IK	en
dc.date.accessioned	2014-03-01T01:27:40Z
dc.date.available	2014-03-01T01:27:40Z
dc.date.issued	2008	en
dc.identifier.issn	0029-8018	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18530
dc.subject	Box method	en
dc.subject	Finite differences	en
dc.subject	Heave excitations	en
dc.subject	Marine risers	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Ocean	en
dc.subject.classification	Oceanography	en
dc.subject.classification	Water Resources	en
dc.subject.other	Dynamics	en
dc.subject.other	Finite difference method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Two dimensional	en
dc.subject.other	Dynamic equilibrium problem	en
dc.subject.other	Reduced linearized formulation	en
dc.subject.other	Relaxation method	en
dc.subject.other	Marine risers	en
dc.subject.other	Dynamics	en
dc.subject.other	Finite difference method	en
dc.subject.other	Marine risers	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Two dimensional	en
dc.subject.other	finite difference method	en
dc.subject.other	loading	en
dc.subject.other	numerical method	en
dc.subject.other	riser	en
dc.subject.other	transform	en
dc.subject.other	two-dimensional modeling	en
dc.title	A finite differences formulation for the linear and nonlinear dynamics of 2D catenary risers	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.oceaneng.2008.01.006	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.oceaneng.2008.01.006	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	A finite differences (FD) solution method is proposed for the numerical treatment of the dynamic equilibrium problem of 2D catenary risers. The method is based on the so-called Box approximation, which in the scope of the present contribution is applied to the complete nonlinear model as well as to the reduced linearized formulation. The application of the Box method transforms the original governing systems into convenient sets of algebraic equations, which in turn are solved efficiently by the relaxation method. Extensive numerical calculations are presented that describe the dynamic behaviour of the structure and evaluate the amplification in loading due to the dynamic components. The effect of the geometric nonlinearities is assessed through comparative calculations that concern both mathematical formulations examined in the present, i.e. the complete nonlinear, and the reduced linearized model. Special attention is paid to the heave excitations as they amplify significantly the magnitudes of the loading components. (C) 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Ocean Engineering	en
dc.identifier.doi	10.1016/j.oceaneng.2008.01.006	en
dc.identifier.isi	ISI:000256126400003	en
dc.identifier.volume	35	en
dc.identifier.issue	7	en
dc.identifier.spage	616	en
dc.identifier.epage	636	en