Patching Asymptotics Solution of a Cable with a Small Bending Stiffness

[en] The analysis of a cable with a small bending stiffness is a problem encountered in many engineering applications such as the fatigue assessment of stay cables, the modeling of pipeline laying operation or the determination of bending stresses in drillpipe assemblies. Because this phenomenon is modeled by a singularly perturbed equation, standard numerical techniques fail to solve these problems efficiently. As an alternative, provided the complexity of the analytical developments does not preclude their application, these problems may be tackled with appealing analytical procedures such as matching asymptotics or multiple scales. Otherwise advanced numerical simulations combining patching asymptotics within a numerical framework are the only possible approach for problems where the governing equations are too complex. Patching asymptotics also features a number of merits such as the possibility of using a boundary layer with a finite extent. Aiming at a better understanding of this latter technique, it is considered here to determine the solution of a cable with a small bending stiffness. Interesting details about patchability conditions and about how to restore higher derivatives continuity are included. The accuracy of the patching asymptotics approach is also compared with that of matched asymptotics.

Disciplines :

Civil engineering

Author, co-author :

Denoël, Vincent ; Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil

Canor, Thomas ; Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil

Language :

English

Title :

Patching Asymptotics Solution of a Cable with a Small Bending Stiffness

Publication date :

2013

Journal title :

Journal of Structural Engineering

ISSN :

0733-9445

eISSN :

1943-541X

Publisher :

American Society of Civil Engineers, Reston, United States - Virginia

Volume :

139

Peer reviewed :

Peer reviewed

Available on ORBi :

since 22 October 2012

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