Recursive thoughts on the simulation of the flexible multibody dynamics of slender offshore structures

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Abstract

In this work, the floating frame of reference formulation is used to create a flexible multibody model of slender offshore structures such as pipelines and risers. It is shown that due to the chain-like topology of the considered structures, the equation of motion can be expressed in terms of absolute interface coordinates. In the presented form, kinematic constraint equations are satisfied explicitly and the Lagrange multipliers are eliminated from the equations. Hence, the structures can be conveniently coupled to finite element or multibody models of for example seabed and vessel. The chain-like topology enables the efficient use of recursive solution procedures for both transient dynamic analysis and equilibrium analysis. For this, the transfer matrix method is used. In order to improve the convergence of the equilibrium analysis, the analytical solution of an ideal catenary is used as an initial configuration, reducing the number of required iterations.
Original languageEnglish
Article number012029
JournalIOP Conference Series: Materials Science and Engineering
Volume276
DOIs
Publication statusPublished - Dec 2017
EventFirst Conference of Computational Methods in Offshore Technology 2017 - Stavanger, Norway
Duration: 30 Nov 20171 Dec 2017
Conference number: 1
http://www.ux.uis.no/COTech/

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Offshore structures
Topology
Transfer matrix method
Lagrange multipliers
Dynamic analysis
Equations of motion
Kinematics
Pipelines

Cite this

@article{090e78f9058a49a9b59454ef40dd65ec,
title = "Recursive thoughts on the simulation of the flexible multibody dynamics of slender offshore structures",
abstract = "In this work, the floating frame of reference formulation is used to create a flexible multibody model of slender offshore structures such as pipelines and risers. It is shown that due to the chain-like topology of the considered structures, the equation of motion can be expressed in terms of absolute interface coordinates. In the presented form, kinematic constraint equations are satisfied explicitly and the Lagrange multipliers are eliminated from the equations. Hence, the structures can be conveniently coupled to finite element or multibody models of for example seabed and vessel. The chain-like topology enables the efficient use of recursive solution procedures for both transient dynamic analysis and equilibrium analysis. For this, the transfer matrix method is used. In order to improve the convergence of the equilibrium analysis, the analytical solution of an ideal catenary is used as an initial configuration, reducing the number of required iterations.",
author = "Schilder, {Jurnan Paul} and Ellenbroek, {Marcellinus Hermannus Maria} and {de Boer}, A.",
year = "2017",
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doi = "10.1088/1757-899X/276/1/012029",
language = "English",
volume = "276",
journal = "IOP Conference Series: Materials Science and Engineering",
issn = "1757-8981",
publisher = "IOP Publishing Ltd.",

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T1 - Recursive thoughts on the simulation of the flexible multibody dynamics of slender offshore structures

AU - Schilder, Jurnan Paul

AU - Ellenbroek, Marcellinus Hermannus Maria

AU - de Boer, A.

PY - 2017/12

Y1 - 2017/12

N2 - In this work, the floating frame of reference formulation is used to create a flexible multibody model of slender offshore structures such as pipelines and risers. It is shown that due to the chain-like topology of the considered structures, the equation of motion can be expressed in terms of absolute interface coordinates. In the presented form, kinematic constraint equations are satisfied explicitly and the Lagrange multipliers are eliminated from the equations. Hence, the structures can be conveniently coupled to finite element or multibody models of for example seabed and vessel. The chain-like topology enables the efficient use of recursive solution procedures for both transient dynamic analysis and equilibrium analysis. For this, the transfer matrix method is used. In order to improve the convergence of the equilibrium analysis, the analytical solution of an ideal catenary is used as an initial configuration, reducing the number of required iterations.

AB - In this work, the floating frame of reference formulation is used to create a flexible multibody model of slender offshore structures such as pipelines and risers. It is shown that due to the chain-like topology of the considered structures, the equation of motion can be expressed in terms of absolute interface coordinates. In the presented form, kinematic constraint equations are satisfied explicitly and the Lagrange multipliers are eliminated from the equations. Hence, the structures can be conveniently coupled to finite element or multibody models of for example seabed and vessel. The chain-like topology enables the efficient use of recursive solution procedures for both transient dynamic analysis and equilibrium analysis. For this, the transfer matrix method is used. In order to improve the convergence of the equilibrium analysis, the analytical solution of an ideal catenary is used as an initial configuration, reducing the number of required iterations.

U2 - 10.1088/1757-899X/276/1/012029

DO - 10.1088/1757-899X/276/1/012029

M3 - Conference article

VL - 276

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

SN - 1757-8981

M1 - 012029

ER -