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Eighteenth Symposium on Naval Hydrodynamics (1991) / Chapter Skim
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Rolling of Biased Ships in Quartering Seas
Pages 133-140

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From page 133...
... ABSTRACT The equation governing the nonlinear rolling of a biased ship in quartering seas can be reduced to a nonlinear orclinary-differential equation with parametric and external 'excitations. The solutions of this equation are analyzed by performing analog-computer simulations to locate bifurcation points in a two-climensional parameter space consisting of the waveslope and encounter frequency.
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From page 134...
... is general and can model the roll motion of biased and unbiased ships in a variety of regular sea conditions, including beam seas, head or following seas, an`] quartering seas.
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From page 135...
... Nevertheless, it is clear that the motion is very sensitive to bias and the region where capsizing is observed grows considerably and appear to be bigger for positively biased ships. VVe have also found the bifurcation diagram to be sensitive to changes in the phase angle y.
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From page 136...
... G., "Parametric Excitation of Roll Motion and its Influence on Stability," Second International Conference on Stability of Ships and Ocean Vehicles, S111-3a, October 1982.
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From page 137...
... U O 1 u up ~Ill ° ~ .,1..
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From page 138...
... up ~ Cu u is flow u ut it u u Ou u 3 .
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From page 139...
... Coefficients of ship model considered.
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From page 140...
... DISCUSSION Hang S Choi Seoul National University, Korea The equation you have used seems very complicated; cuffing oscillator for righting moment and Van der Pot oscillator for damping.
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Key Terms

  • quartering seas
  • energy transfer
  • equation governing
  • parametric excitation
  • differential equation

  • energy exchanges
  • encounter frequency
  • der pot
  • moments dire
  • parameter space

  • displacement volume
  • volume resulting
  • locate bifurcation
  • longitudinal sea
  • analytical solution

  • initial position
  • ship model
  • independent variables
  • phase plane
  • biased ship

  • biased initial
  • approximate analytical
  • physically meaningful
  • independent variable
  • external excitation

  • roll motion
  • van der
  • using floquet
  • question addresses
  • kinetic energies


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