Journal of Engineering Mathematics

, Volume 38, Issue 1, pp 13–31 | Cite as

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

  • D.M. Stump
  • G.H.M. van der HEIJDEN
Article

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.

Key words:  rod theory, matched asymptotic expansions, boundary layers, catenary, heavy cables, pipelines, buoyancy forces

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • D.M. Stump
    • 1
  • G.H.M. van der HEIJDEN
    • 2
  1. 1.Department of MathematicsThe University of QueenslandSt. LuciaAustralia
  2. 2.Department of MathematicsThe University of QueenslandSt. LuciaAustralia

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