A nonlinear model of parametric rolling stabilization by anti-roll tanks

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

The present paper describes a mathematical model in which the fluid motion inside a U-tank is nonlinearly coupled to the heave, roll and pitch motions of the ship. The main purpose of the investigation is centred on the control of roll motion in the case of parametric resonance in longitudinal waves. A transom stern small vessel, known to be quite prone to parametric amplification, is employed in the study. Four tank designs are employed in order to study the influence of tank mass, tank natural frequency and tank internal damping on the control of parametric rolling at different head seas conditions. Additionally, the influence of the vertical position of the tank is also investigated. The main results are presented in the form of limits of stability, with encounter frequency and wave amplitudes as parameters. Distinct dynamical characteristics are discussed and conclusions are drawn on the relevant parameters for the efficient control of the roll amplifications in head seas.

Original languageEnglish
Pages (from-to)1048-1059
Number of pages12
JournalOcean Engineering
Volume36
Issue number14
Early online date23 Jul 2009
DOIs
Publication statusPublished - 31 Oct 2009

Keywords

  • anti-rolling tanks
  • parametric resonance
  • roll motion
  • ship stability

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