### 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 language | English |
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Pages (from-to) | 2957-2974 |

Number of pages | 18 |

Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Volume | 455 |

Issue number | 1988 |

Publication status | Published - 1999 |

### Fingerprint

### Keywords

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

### Cite this

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

*455*(1988), 2957-2974.

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*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, vol. 455, no. 1988, pp. 2957-2974.

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

Research output: Contribution to journal › Article

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 -