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Finite Element Modelling of Moored Vessels

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  • O.M. AAMO
  • T.I. FOSSEN

Abstract

In this paper, we develop a new finite element model for a cable suspended in water. Global existence and uniqueness of solutions of the truncated system is shown for a slightly simplified equation describing the motion of a cable with negligible added mass and supported by fixed end-points. Based on this, along with well known results on local existence and uniqueness of solutions for symmetrizable hyperbolic systems, we conjecture a global result for the initial-boundary value problem. The FEM model for the cable is assembled to give a model of a multi-cable mooring system, which, in turn, is coupled to a rigid body model of the floating vessel. The result is a coupled dynamical model of a moored vessel, which can be applied to applications such as turret-based moored ships, or tension leg platforms.

Suggested Citation

  • O.M. Aamo & T.I. Fossen, 2001. "Finite Element Modelling of Moored Vessels," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 7(1), pages 47-75, March.
    • Handle: RePEc:taf:nmcmxx:v:7:y:2001:i:1:p:47-75
    DOI: 10.1076/mcmd.7.1.47.3632
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    Cited by:

    1. Josh Davidson & John V. Ringwood, 2017. "Mathematical Modelling of Mooring Systems for Wave Energy Converters—A Review," Energies, MDPI, vol. 10(5), pages 1-46, May.

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