Analysis of rolling capsizing probability of warship under random wind and beam seas

作者：Shi, Xing Hua^*; Zhang, Jing; Wang, Shan

来源：Journal of Ship Mechanics, 2011, 15(5): 473-479.

• Beam seas
• Gauss-Legendre
• Gauss-Legendre integration
• Noise disturbance
• Nonlinear damping
• Nonlinear differential equation
• Path integration
• Probability densities

The path integration method based on Gauss-Legendre integration scheme was applied to the motion of ship subjected to random wind and beam seas. Considering the nonlinear damping moment, restoring moment and random wind and seas, the nonlinear differential equation for ship's rolling motion was established. The rolling angle probability density was analyzed using the path integration method, when the ship was subjected to white noise disturbance and a stationary wind moment, then capsizing probability was also calculated according to the presented rules. The presented method was capable of producing accurate results, which could be proved through the example. At the same time, the influence of each parameter on the probability density was analyzed. Furthermore, the capsizing probability at different velocity of wind and sailing was calculated, and the probability with time was also computed. The study shows that this method is easy to achieve. Thus the rolling capsizing probability of warship in random wind and beam seas could be predicted quantitatively by the proposed method.

• 出版日期2011
• 单位哈尔滨工程大学