On alternative approaches to linearization and Morison's equation for wave forces

Julian Wolfram

    Research output: Contribution to journalArticle

    Abstract

    The limitations of the 'equivalent linearization' approach are discussed and an alternative approach is advocated based on the idea of 'corresponding linear forms' which give unbiased estimates for the output quantity required from an analysis. The application of the alternative approach is illustrated by developing corresponding linear forms for Morison's equation applicable to the estimation of extreme wave loading and the estimation of wave-induced fatigue loading. These corresponding linear forms differ only in a linearization factor and expressions for this are obtained for both cases. It is shown that the linearization factor varies not just with the nature of the output but also with the relative magnitudes of the drag and inertia terms in Morison's equation. The application of the alternative approach to the oscillatory motion of bodies is discussed briefly. © 1999 The Royal Society.

    Original languageEnglish
    Pages (from-to)2957-2974
    Number of pages18
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Volume455
    Issue number1988
    Publication statusPublished - 1999

    Fingerprint

    wave force
    fatigue
    inertia
    drag

    Keywords

    • Extreme loading
    • Fatigue
    • Linearization
    • Morison's equation
    • Offshore structures
    • Wave force

    Cite this

    @article{b0594226c1134726b06b432a9795322b,
    title = "On alternative approaches to linearization and Morison's equation for wave forces",
    abstract = "The limitations of the 'equivalent linearization' approach are discussed and an alternative approach is advocated based on the idea of 'corresponding linear forms' which give unbiased estimates for the output quantity required from an analysis. The application of the alternative approach is illustrated by developing corresponding linear forms for Morison's equation applicable to the estimation of extreme wave loading and the estimation of wave-induced fatigue loading. These corresponding linear forms differ only in a linearization factor and expressions for this are obtained for both cases. It is shown that the linearization factor varies not just with the nature of the output but also with the relative magnitudes of the drag and inertia terms in Morison's equation. The application of the alternative approach to the oscillatory motion of bodies is discussed briefly. {\circledC} 1999 The Royal Society.",
    keywords = "Extreme loading, Fatigue, Linearization, Morison's equation, Offshore structures, Wave force",
    author = "Julian Wolfram",
    year = "1999",
    language = "English",
    volume = "455",
    pages = "2957--2974",
    journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",
    issn = "1364-5021",
    publisher = "Royal Society of London",
    number = "1988",

    }

    On alternative approaches to linearization and Morison's equation for wave forces. / Wolfram, Julian.

    In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 455, No. 1988, 1999, p. 2957-2974.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - On alternative approaches to linearization and Morison's equation for wave forces

    AU - Wolfram, Julian

    PY - 1999

    Y1 - 1999

    N2 - The limitations of the 'equivalent linearization' approach are discussed and an alternative approach is advocated based on the idea of 'corresponding linear forms' which give unbiased estimates for the output quantity required from an analysis. The application of the alternative approach is illustrated by developing corresponding linear forms for Morison's equation applicable to the estimation of extreme wave loading and the estimation of wave-induced fatigue loading. These corresponding linear forms differ only in a linearization factor and expressions for this are obtained for both cases. It is shown that the linearization factor varies not just with the nature of the output but also with the relative magnitudes of the drag and inertia terms in Morison's equation. The application of the alternative approach to the oscillatory motion of bodies is discussed briefly. © 1999 The Royal Society.

    AB - The limitations of the 'equivalent linearization' approach are discussed and an alternative approach is advocated based on the idea of 'corresponding linear forms' which give unbiased estimates for the output quantity required from an analysis. The application of the alternative approach is illustrated by developing corresponding linear forms for Morison's equation applicable to the estimation of extreme wave loading and the estimation of wave-induced fatigue loading. These corresponding linear forms differ only in a linearization factor and expressions for this are obtained for both cases. It is shown that the linearization factor varies not just with the nature of the output but also with the relative magnitudes of the drag and inertia terms in Morison's equation. The application of the alternative approach to the oscillatory motion of bodies is discussed briefly. © 1999 The Royal Society.

    KW - Extreme loading

    KW - Fatigue

    KW - Linearization

    KW - Morison's equation

    KW - Offshore structures

    KW - Wave force

    UR - http://www.scopus.com/inward/record.url?scp=31944437083&partnerID=8YFLogxK

    M3 - Article

    VL - 455

    SP - 2957

    EP - 2974

    JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

    JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

    SN - 1364-5021

    IS - 1988

    ER -