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1 results

  • 8 - Large Bodies: Other Nonlinear Effects

  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book:
    Offshore Structure Hydrodynamics
    Published online:
    31 January 2023
    Print publication:
    05 January 2023, pp 287-331

  • 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.