初始横倾角对船舶横摇运动响应的影响

Influence of initial heeling angle on ship roll motion response

[目的]系统地研究初始横倾角对随机横浪下船舶横摇运动响应的影响。[方法]以路径积分法为基础,通过数值求解控制横摇运动微分方程概率属性的Fokker-Planck方程,得到横摇运动响应的概率分布。[结果]结果显示,初始横倾角对船舶横摇运动响应谱的影响有限,但对横摇角概率分布以及横摇运动响应极值分布的影响十分明显,且会造成船舶安全性的显著恶化。[结论]路径积分法可作为研究随机海浪下船舶横摇运动特性的有效数值方法。

[Objectives]In this work,the influence of the initial heeling angle on the roll motion response of a ship in random beam wave is studied.[Methods]Specifically,the path integration method is applied to solve the Fokker-Planck equation,which governs the probability properties of the stochastic differential equation for the roll motion.The probability distributions of the roll motion response can then be obtained.[Results]The results show that the initial heeling angle has limited influence on the roll motion response spectrum,but the probability density function of the roll motion response and distribution of extreme roll motion response can be significantly influenced by the heeling angle.As a result,the safety and stability of the ship will deteriorate dramatically.[Conclusions]The path integration method can be effective for studying the characteristics of ship roll motion under random waves.