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

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


Author Stump, D. M.
van der Heijden, G. H. M.
Title Matched asymptotic expansions for bent and twisted rods: applications for cable and pipeline laying
Journal name Journal of Engineering Mathematics   Check publisher's open access policy
ISSN 0022-0833
Publication date 2000-01-01
Sub-type Article (original research)
DOI 10.1023/A:1004634100466
Volume 38
Issue 1
Start page 13
End page 31
Total pages 19
Editor H. K. Kuiken
Place of publication Dordrecht
Publisher Kluwer Academic Publ.
Language eng
Subject C1
239999 Mathematical Sciences not elsewhere classified
780101 Mathematical sciences
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.
Keyword Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Rod Theory
Matched Asymptotic Expansions
Boundary Layers
Catenary
Heavy Cables
Pipelines
Buoyancy Forces
Bending Stiffness
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 9 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 10 Jun 2008, 20:22:55 EST