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

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    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.",

    }

    TY - JOUR

    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 -