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Computational Mechanics
Published in: Computational Mechanics 1/2014

01-01-2014 | Original Paper

Static analysis of offshore risers with a geometrically-exact 3D beam model subjected to unilateral contact

Authors: Alfredo Gay Neto, Clóvis A. Martins, Paulo M. Pimenta

Published in: Computational Mechanics | Issue 1/2014

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Abstract

In offshore applications there are elements that can be modeled as long beams, such as umbilical cables, flexible and rigid pipes and hoses, immersed in the sea water, suspended from the floating unit to the seabed. The suspended part of these elements is named “riser” and is subjected to the ocean environment loads, such as waves and sea current. This work presents a structural geometrically-exact 3D beam model, discretized using the finite element method for riser modeling. An updated Lagrangian framework for the rotation parameterization has been used for the description of the exact kinematics. The goal is to perform a complete static analysis, considering the oceanic loads and the unilateral contact with the seabed, extending the current standard analysis for situations in which very large rotations occurs, in particular, large torsion. Details of the nonlinear 3D model and loads from oceanic environment are discussed, including the contact unilateral constraint.
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Footnotes
1
Here the name “rigid” is related to steel pipes, which are much more rigid than the other type of risers shown in Fig. 2.
 
2
ORCAFLEX\(^\mathrm{TM}\) is commercial software specialized in riser analysis, solving static and dynamic problems. Details about the algorithms used can be found in [13].
 
3
The nomenclature “instant” in the context of a static analysis may be understood as a way to describe a sequence of events, such as the transition between two configurations. It may not be understood as the physical time once it is not explicitly present in equations of statics, once it is assumed that accelerations are small and do not cause important inertial effects.
 
4
This kind of analogy between the specific rotation of a beam and the angular velocity was already mentioned and developed by many authors, such as [9] and using a well presented treatment in works of Thompson and co-workers (see for example [8] for a review of the group’s works).
 
5
If one looks at the riser from the top to the seabed direction, the TDP is the first touch with seabed position.
 
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Metadata
Title
Static analysis of offshore risers with a geometrically-exact 3D beam model subjected to unilateral contact
Authors
Alfredo Gay Neto
Clóvis A. Martins
Paulo M. Pimenta
Publication date
01-01-2014
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 1/2014
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0897-9

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