Investigation Parametric Rolling of Ships under Irregular Waves

The main purpose of this paper is to investigate the stochastic roll motion of a ship in irregular waves. To achieve this goal, the differential equation of ship roll motion roll in longitudinal waves with respect to nonlinear damping and restoring arm has been created. Due to the stochastic nature of sea waves, the wave excitation force is generated through stochastic excitation using effective wave theory. To achieve the ship roll motion response, the stochastic differential equation of the roll is converted to the Ito’s stochastic differential equation form. The generated equation is solved several times using the Monte Carlo process to statistically evaluate the roll motion response. Finally, the probability distribution function of the ship's roll motion at irregular waves is calculated for the C11 container ship as a sample ship. Using these results, a better approximation of the maximum angle of roll motion of a ship in irregular waves can be obtained.