Ocean Systems Engineering

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Nonlinear ship rolling motion subjected to noise excitation

  • Jamnongpipatkul, Arada (Department of Civil Engineering, Texas A&M University) ;
  • Su, Zhiyong (Department of Civil Engineering, Texas A&M University) ;
  • Falzarano, Jeffrey M. (Department of Civil Engineering, Texas A&M University)
  • Received : 2011.04.06
  • Accepted : 2011.09.23
  • Published : 2011.09.25
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Abstract

The stochastic nonlinear dynamic behavior and probability density function of ship rolling are studied using the nonlinear dynamical systems approach and probability theory. The probability density function of the rolling response is evaluated through solving the Fokker Planck Equation using the path integral method based on a Gauss-Legendre interpolation scheme. The time-dependent probability of ship rolling restricted to within the safe domain is provided and capsizing is investigated from the probability point of view. The random differential equation of ships' rolling motion is established considering the nonlinear damping, nonlinear restoring moment, white noise and colored noise wave excitation.

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References

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