Large Bodies: Other Nonlinear Effects

Bernard Molin

doi:10.1017/9781009198059.010

8 - Large Bodies: Other Nonlinear Effects

Published online by Cambridge University Press: 31 January 2023

Bernard Molin

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Bernard Molin: Affiliation:
École Centrale de Marseille and NTNU: Norwegian University of Science and Technology

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Summary

This chapter tackles a few nonlinear effects that cannot be rendered by linear or second-order potential flow theory. Higher than second-order wave loads, usually denoted as ringing loads (at variance with springing which is second-order), are first considered and third-order diffraction theory is outlined and applied to a vertical cylinder. Important and ill-known phenomena that are also due to third-order nonlinearities are the wave runups often seen at sea-walls or ship hulls in beam seas. These are due to third-order interactions between the incoming waves and the radiated and diffracted waves by the structure. Example is given in the academic case of a vertical plate of finite length, where experimental results are compared with a simple parabolic model. Parametric instabilities are considered next. A long section is devoted to impact and slamming loads, where the so-called von Karman and Wagner approximations are presented along with more elaborate theoretical models. Finally the hydrodynamics of porous (or perforated) bodies is considered.

Keywords

Ringing runup parametric instability water entry slamming load impact load von Karman approximation Wagner approximation perforated bodies.

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Type: Chapter
Information: Offshore Structure Hydrodynamics , pp. 287 - 331

DOI: https://doi.org/10.1017/9781009198059.010 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2023

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