摘要
本文应用矩函数法分析船舶在随机横浪中的非线性横摇运动，以及用Ｈｅｒｍｉｔｅ矩闭合法来闭合矩微分方程组，求得随机横摇运动获得平稳时的响应统计矩与外扰力的关系。应用小扰动理论和Ｌｉａｐｕｎｏｖ方法对船舶的初始状态下的局部稳定性进行研究，探讨与外扰动相关的统计矩的稳定性区域和在船舶设计及船舶航行时外部扰动与船型参数应满足的相互关系。
Presents the method to analysis the nonlinear ship roll motion in random transverse waves by using the moment function.The results of stochastic roll response statistics are obtained from the moment differential equations enveloped by the Hermite Moments. Based on the small perturbations and Liapunov method the investigation of local stability of ship roll motion is presented here. The criteria of local and non local stability are presented also. The dynamic stability of ship roll motion is examined upon the criteria in the ship design and ship operation.
出处
《华东船舶工业学院学报》
1996年第4期7-14,共8页
Journal of East China Shipbuilding Institute(Natural Science Edition)
关键词
船舶稳定性
横摇
非线性
矩函数法
stability of ship / Hermite polynomial
moment
stochastic processes
