On unstable ship motions resulting from strong non-linear coupling

Marcelo A.S. Neves*, Claudio A. Rodríguez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

103 Citations (Scopus)

Abstract

In this paper, the modelling of strong parametric resonance in head seas is investigated. Non-linear equations of ship motions in waves describing the couplings between heave, roll and pitch are contemplated. A third-order mathematical model is introduced, aimed at describing strong parametric excitation associated with cyclic changes of the ship restoring characteristics. A derivative model is employed to describe the coupled restoring actions up to third order. Non-linear coupling coefficients are analytically derived in terms of hull form characteristics. The main theoretical aspects of the new model are discussed. Numerical simulations obtained from the derived third-order non-linear mathematical model are compared to experimental results, corresponding to excessive motions of the model of a transom stern fishing vessel in head seas. It is shown that this enhanced model gives very realistic results and a much better comparison with the experiments than a second-order model.

Original languageEnglish
Pages (from-to)1853-1883
Number of pages31
JournalOcean Engineering
Volume33
Issue number14-15
Early online date27 Mar 2006
DOIs
Publication statusPublished - 31 Oct 2006

Keywords

  • Hill equation
  • non-linear equations
  • parametric resonance
  • roll motion
  • ship motions
  • ship stability

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