A variational formulation for three-dimensional analysis of extensible marine riser transporting fluid
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Author list: Athisakul C., Monprapussorn T., Chucheepsakul S.
Publisher: Elsevier
Publication year: 2011
Journal: Ocean Engineering (0029-8018)
Volume number: 38
Issue number: 4
Start page: 609
End page: 620
Number of pages: 12
ISSN: 0029-8018
eISSN: 1873-5258
Languages: English-Great Britain (EN-GB)
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Abstract
This paper presents a model formulation for static and dynamic analysis of three-dimensional extensible marine riser transporting fluid. A variational model formulation is developed based on the principle of virtual workenergy and the extensible elastica theory. The virtual workenergy functional is composed of the virtual strain energy due to axial stretching, bending, and torsion and the virtual work done by the external and internal fluid. The governing dynamic equilibrium equations are derived in the Cartesian coordinate. The finite element method is used to obtain the numerical solutions. The numerical examples are provided to demonstrate interesting effects of fluid transportation and axial deformation on large displacements and dynamic properties of the three-dimensional extensible marine riser. ฉ 2010 Elsevier Ltd.
Keywords
Transporting fluid, Variational formulation
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