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

DOI10.1023/A:1004634100466zbMath0958.74032MaRDI QIDQ1574157

D. M. Stump, G. H. M. Van Der Heijden

Publication date: 10 January 2001

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

gravitymatched asymptotic expansionsboundary value problemboundary layerslinear elastic rodsbuoyancy forcesgeometrically exact theoryclamped pipelineheavy cablesnear-catenary applicationtruncated analytical solutiontwisted clamped rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items (2)

The static WKB solution to catenary problems with large sag and bending stiffness ⋮ An analytic solution of the static problem of inclined risers conveying fluid

Uses Software

• COLSYS

This page was built for publication: Matched asymptotic expansions for bent and twisted rods: Applications for cable and pipeline laying