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    Riser-Soil Interaction: Local Dynamics at TDP and a Discussion on the Eigenvalue and the VIV Problems

    Source: Journal of Offshore Mechanics and Arctic Engineering:;2006:;volume( 128 ):;issue: 001::page 39
    Author:
    Celso P. Pesce
    ,
    Clóvis de A. Martins
    ,
    Lauro M. da Silveira
    DOI: 10.1115/1.2151205
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The eigenvalue problem of risers is of utmost importance, particularly if vortex-induced vibration (VIV) is concerned. Design procedures rely on the determination of eigenvalues and eigenmodes. Natural frequencies are not too sensitive to the proper consideration of boundary condition, within a certain extent where dynamics at the touchdown area (TDA) may be modeled as dominated by the dynamics of the suspended part. However, eigenmodes may be strongly affected in this region because, strictly speaking, this is a nonlinear one-side (contact-type) boundary condition. Actually, we shall consider a nonlinear eigenvalue problem. Locally, at TDA, riser flexural rigidity and soil interaction play important roles and may affect the dynamic curvature. Extending and merging former analytical solutions on touchdown point (TDP) dynamics and on the eigenvalue problem, obtained through asymptotic and perturbation methods, the present work critically address soil and bending stiffness effects a little further. As far as linear soil stiffness and planar dynamics hypotheses may be considered valid, it is shown that penetration in the soil is small and that its effect does not change significantly the bending loading that is mainly caused by the cyclic excursion of the TDP and corresponding dynamic tension. A comparison of the analytical results with a full nonlinear time-domain simulation shows a remarkable agreement for a typical steel catenary riser. The WKB approximation for the eigenvalue problem gives good estimates for TDP excursion. As the dynamic tension caused solely by VIV is very small, the merged analytical solution may be used as a first estimate of the curvature variation at TDP in the cases of current perpendicular to the “riser plane.”
    keyword(s): Eigenvalues , Pipeline risers , Soil , Dynamics (Mechanics) , Tension , Stiffness , Vortex-induced vibration , Approximation AND Steel catenary risers ,
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      Riser-Soil Interaction: Local Dynamics at TDP and a Discussion on the Eigenvalue and the VIV Problems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/134455
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    • Journal of Offshore Mechanics and Arctic Engineering

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    contributor authorCelso P. Pesce
    contributor authorClóvis de A. Martins
    contributor authorLauro M. da Silveira
    date accessioned2017-05-09T00:21:15Z
    date available2017-05-09T00:21:15Z
    date copyrightFebruary, 2006
    date issued2006
    identifier issn0892-7219
    identifier otherJMOEEX-28289#39_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/134455
    description abstractThe eigenvalue problem of risers is of utmost importance, particularly if vortex-induced vibration (VIV) is concerned. Design procedures rely on the determination of eigenvalues and eigenmodes. Natural frequencies are not too sensitive to the proper consideration of boundary condition, within a certain extent where dynamics at the touchdown area (TDA) may be modeled as dominated by the dynamics of the suspended part. However, eigenmodes may be strongly affected in this region because, strictly speaking, this is a nonlinear one-side (contact-type) boundary condition. Actually, we shall consider a nonlinear eigenvalue problem. Locally, at TDA, riser flexural rigidity and soil interaction play important roles and may affect the dynamic curvature. Extending and merging former analytical solutions on touchdown point (TDP) dynamics and on the eigenvalue problem, obtained through asymptotic and perturbation methods, the present work critically address soil and bending stiffness effects a little further. As far as linear soil stiffness and planar dynamics hypotheses may be considered valid, it is shown that penetration in the soil is small and that its effect does not change significantly the bending loading that is mainly caused by the cyclic excursion of the TDP and corresponding dynamic tension. A comparison of the analytical results with a full nonlinear time-domain simulation shows a remarkable agreement for a typical steel catenary riser. The WKB approximation for the eigenvalue problem gives good estimates for TDP excursion. As the dynamic tension caused solely by VIV is very small, the merged analytical solution may be used as a first estimate of the curvature variation at TDP in the cases of current perpendicular to the “riser plane.”
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRiser-Soil Interaction: Local Dynamics at TDP and a Discussion on the Eigenvalue and the VIV Problems
    typeJournal Paper
    journal volume128
    journal issue1
    journal titleJournal of Offshore Mechanics and Arctic Engineering
    identifier doi10.1115/1.2151205
    journal fristpage39
    journal lastpage55
    identifier eissn1528-896X
    keywordsEigenvalues
    keywordsPipeline risers
    keywordsSoil
    keywordsDynamics (Mechanics)
    keywordsTension
    keywordsStiffness
    keywordsVortex-induced vibration
    keywordsApproximation AND Steel catenary risers
    treeJournal of Offshore Mechanics and Arctic Engineering:;2006:;volume( 128 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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