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Static non-linear three-dimensional analysis of a riser bundle by a substructuring and incremental finite element algorithm

dc.contributor.authorBernitsas, Michael M.en_US
dc.contributor.authorVlahopoulos, Nickolasen_US
dc.date.accessioned2007-04-06T18:27:01Z
dc.date.available2007-04-06T18:27:01Z
dc.date.issued1989-11en_US
dc.identifier.citationBernitsas, Michael M.; Vlahopoulos, Nickolas (1989)."Static non-linear three-dimensional analysis of a riser bundle by a substructuring and incremental finite element algorithm." International Journal for Numerical Methods in Engineering 28(11): 2517-2540. <http://hdl.handle.net/2027.42/50097>en_US
dc.identifier.issn0029-5981en_US
dc.identifier.issn1097-0207en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/50097
dc.description.abstractThe problem of static, non-linear, large three-dimensional deformation of riser bundles used in offshore oil and gas production is studied within the limits of small strain theory. The mathematical model consists of the models of component-risers and connectors which hold risers together. Each riser is modelled as a thin walled, slender, extensible or inextensible tubular beam-column. It is subject to non-linear three-dimensional deformation dependent hydrodynamic loads, torsion and distributed moments, varying axial tension, and internal and external fluid forces. The problem is solved numerically by developing an algorithm which features substructuring, condensation and non-linear incremental finite elements. Substructuring is used to decompose the riser bundle problem into those of individual component-risers and equilibria of connectors. Condensation is used along with the connector equilibrium equations to produce connector forces and moments. Strong non-linearities present in the model are handled by an incremental finite element approach. Accuracy of the computer code is verified by solving simple three-dimensional cases. Two three-dimensional applications are solved for a bundle with seven component-risers and up to a total of 1267 degrees of freedom. Finally, a comparison is made with numerical results of a two-dimensional analysis code. The influence of problem size on total CPU time is discussed.en_US
dc.format.extent1113413 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherJohn Wiley & Sons, Ltden_US
dc.subject.otherEngineeringen_US
dc.subject.otherEngineering Generalen_US
dc.titleStatic non-linear three-dimensional analysis of a riser bundle by a substructuring and incremental finite element algorithmen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelEngineering (General)en_US
dc.subject.hlbsecondlevelMechanical Engineeringen_US
dc.subject.hlbtoplevelEngineeringen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2145, U.S.A. ; Associate Professoren_US
dc.contributor.affiliationumDepartment of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2145, U.S.A. ; Project Engineer in Automated Analysis Corporation, Ann Arbor, MIen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/50097/1/1620281104_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/nme.1620281104en_US
dc.identifier.sourceInternational Journal for Numerical Methods in Engineeringen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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