A variational formulation for three-dimensional analysis of extensible marine riser transporting fluid

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 work–energy and the extensible elastica theory. The virtual work–energy functional i...

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Bibliographic Details
Published in:Ocean engineering 2011-03, Vol.38 (4), p.609-620
Main Authors: Athisakul, Chainarong, Monprapussorn, Tinnakorn, Chucheepsakul, Somchai
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Computational fluid dynamics
Dynamics
Exact sciences and technology
Extensibility
Extensible marine riser
Finite element method
Fluid flow
Fluids
Free vibration
Hydraulic constructions
Marine
Mathematical models
Offshore structure (platforms, tanks, etc.)
Risers
Transporting
Transporting fluid
Variational formulation
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Summary: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 work–energy and the extensible elastica theory. The virtual work–energy 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.
ISSN:0029-8018
1873-5258
DOI:10.1016/j.oceaneng.2010.12.012