Reference : Patching Asymptotics Solution of a Cable with a Small Bending Stiffness
Scientific journals : Article
Engineering, computing & technology : Civil engineering
http://hdl.handle.net/2268/132666
Patching Asymptotics Solution of a Cable with a Small Bending Stiffness
English
Denoël, Vincent mailto [Université de Liège - ULg > Département ArGEnCo > Analyse sous actions aléatoires en génie civil >]
Canor, Thomas mailto [Université de Liège - ULg > Département ArGEnCo > Analyse sous actions aléatoires en génie civil >]
2013
Journal of Structural Engineering
American Society of Civil Engineers
139
Yes (verified by ORBi)
International
0733-9445
Reston
VA
[en] cable ; patching method ; 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.
http://hdl.handle.net/2268/132666
10.1061/(ASCE)ST.1943-541X.0000643

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