中文摘要：

应用相空间转移率，定量研究了随机海浪中甲板上浪船舶的倾覆，给出了甲板上浪对船舶抗倾覆能力的影响。综合考虑非线性阻尼、非线性恢复力矩和随机横浪激励，建立了无甲板上浪和有甲板上浪时船舶随机非线性横摇运动的一般方程。以一艘倾覆的拖网船为例，分别求解了无甲板上浪和有甲板上浪时，不同海况激励下船舶横摇的相对相空间转移率。以相空间转移率作为船舶稳性损失的度量，定量比较了两种情况下船舶的抗倾覆能力。研究表明，甲板上浪后，船舶在较低的海况下会产生较大的相对相空间转移率，甲板上浪严重降低船舶的抗倾覆能力，从理论上进一步揭示了甲板上浪船舶的倾覆机理。

英文摘要：

The effect of water on deck on the stability against capsizing of ships in random beam waves is studied by the numerical method of phase space flux.The general random nonlinear equation of ships rolling motion,without water on deck and with water on deck,is established considering the nonlinear damping,nonlinear restoring moment and random beam wave excitation. Taking a capsized trawler as an example, the relative phase space flux of the ship rolling motion excited by different wave environment is evaluated numerically for without water on deck and with water on deck, respectively. The stability against capsizing is compared quantitatively by the phase space flux between the two situations.It is found that the more relative phase space flux is generated in slight seas if water on deck occurs;water on deck reduces ship＇s stability against capsizing severely, and the reason for capsizing of some ships with water on deck is further presented theoretically.