用Melnikov方法研究船舶在随机横浪中的倾覆  

Study on the ship capsize in random beam seas using Melnikov method

作　　者：唐友刚[1] 谷家扬[1] 郑宏宇[1] 李红霞[1] 

机构地区：[1]天津大学建筑工程学院船舶与海洋工程系,天津300072

出　　处：《船舶力学》2004年第5期27-34,共8页Journal of Ship Mechanics

基　　金：国家自然科学基金资助项目(50279026)

摘　　要：本文应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题,分析了波浪特征频率、特征波高、船舶非线性恢复力臂以及阻尼特性对相空间转移率的影响。以长30.7m、宽6.9m的渔船为例,采用ISSC波浪谱,在时域内计算了Melnikov函数,得到了相空间转移率与Melnikov函数之间的关系以及有义波高对相空间转移率的影响。研究表明:随有义波高增大,相空间转移率不断增大,船舶航行的安全域迅速减小。从而揭示了相空间转移率与船舶倾覆内在的密切联系,为船舶的设计和稳性衡准提供了有价值的参考。Melnikov function and phase space flux are applied to analyze highly nonlinear roll and capsize of ships in the random seas. Several factors, including significant wave frequency, significant wave height, nonlinear righting arms and damper characteristic are taken into account in analyzing their influence on the phase space flux. Considering a fish vessel of 30.7 m long and 6.9 m wide, the ISSC wave spectrum is used for the description of the wave, the Melnikov function in the time domain is computed. The relation between the phase space flux and the Melnikov function is given and the influence of significant wave height on phase space flux is obtained. It is shown that phase space flux is growing continually along with significant wave height and the safe basin of ships is decreasing rapidly. Therefore the osculating relations between the phase space flux and the ship capsize are revealed and valuable reference will be provided for the ship design and safety standard.

关 键 词：Melnikov方法 船舶 倾覆 随机波浪 非线性横摇运动 稳性 相空间转移率 

分 类 号：U661.3[交通运输工程—船舶及航道工程]