摘要
船舶大幅横摇运动是非常复杂的非线性问题也是导致船舶倾覆的主要原因之一。该文通过对船舶非线性横摇运动进行分析,建立了船舶横摇运动微分方程,引入形状滤波器,将实际海浪序列表示为白噪声后通过这一形状滤波器输出。并运用马尔科夫过程理论,采用路径积分法,在时间域内求解相应的四维Fokker-Planck方程,得到了随时间演变的船舶横摇运动的转移概率密度,结合首次通过理论,求得船舶倾覆概率分布随时间的演变过程。将理论计算结果与模型试验结果进行比较,两者吻合较好。研究结果表明,路径积分法能用于预测船舶倾覆前持续时间的概率分布,因此可为船舶设计和稳性衡准提供相关的参考。
The large amplitude rolling is one of the main reasons leading to ship capsize, it is also a very complicated nonlinear problem. By analyzing nonlinear rolling motion of ship, the nonlinear differential equation of ship rolling motion has been established. The real waves are regarded as the outputs of the white noise by a filter which is introduced into the system. Under the theory of Markov process, the four-dimensional Fokker-Planck equation in time domain was solved by using the path integration method and the transition probability density of the ship rolling movement was obtained. The evolution process of ship capsize probability distribution with the time was achieved by using first passage theory. The results obtained are compared with the corresponding model tests results. It shows satisfactory. The results show that the path integration method is available to predict the distribution of the first passage time and provides valuable reference to the ship design and the safe standards.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2012年第6期734-741,共8页
Chinese Journal of Hydrodynamics
