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Matched asymptotic expansions for bent and twisted rods: applications for cable and pipeline laying

Stump, DM; van der Heijden, GHM; (2000) Matched asymptotic expansions for bent and twisted rods: applications for cable and pipeline laying. Journal of Engineering Mathematics , 38 (1) 13 - 31. 10.1023/A:1004634100466.

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Abstract

The geometrically exact theory of linear elastic rods is used to formulate the general three-dimensional problem of a twisted, clamped rod hanging under gravity and subject to buoyancy forces from a fluid. The resulting boundary value problem is solved by the method of matched asymptotic expansions. The truncated analytical solution is compared with results obtained from a numerical scheme and shows good agreement. The method is used to consider the near-catenary application of a clamped pipeline

Type:Article
Title:Matched asymptotic expansions for bent and twisted rods: applications for cable and pipeline laying
DOI:10.1023/A:1004634100466
Keywords:boundary layers, buoyancy forces, catenary, fluid, Force, heavy cables, matched asymptotic expansion, numerical, pipeline, rod theory, SCHEME, Three-dimensional
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering

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