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Ocean Systems Engineering
  Volume 1, Number 3, September 2011 , pages 249-261

Nonlinear ship rolling motion subjected to noise excitation
Arada Jamnongpipatkul, Zhiyong Su and Jeffrey M Falzarano

    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
Key Words
    nonlinear ship rolling; noise excitation; path integration method; Fokker Planck Equation.
Arada Jamnongpipatkul, Zhiyong Su and Jeffrey M Falzarano : Department of Civil Engineering, Texas A&M University, College Station, Texas, USA

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