纵向运动与横摇非线性耦合对安全池的影响  

Influence of the nonlinearly coupled roll and longitudinal motions of a ship on the safe basin

作　　者：李远林[1] 王冬姣[1] 

机构地区：[1]华南理工大学交通学院,广州510640

出　　处：《水动力学研究与进展（A辑）》2005年第1期65-72,共8页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金资助项目(No.10072021)

摘　　要：本文从流场势能公式出发,考虑了船舶运动对流场势能的贡献,导出了船舶非线性运动方程中恢复力及恢复力矩系数的计算公式。从非线性流体静力和静力矩表达式可知,垂荡和纵摇与横摇运动之间存在非线性耦合。垂荡对横摇非线性静力耦合的影响主要取决于水线面面积、重心的垂向位置,以及垂荡响应幅值和遭遇周期。纵摇对横摇的非线性影响除以上参数外,还与漂心的纵向位置有关。同时还提供了纵向运动与横摇非线性耦合对安全池显著影响的数值模拟算例。The expressions of restoring force and moment coefficients in the nonlinear equations of ship motions are derived based on the potential energy of the flow field with the effect of ship’s motions on the fluid potential energy considered. From the expressions of nonlinear force and moments it can be found that there exist nonlinear coupling motions between heave/pitch and roll of a ship. The influences of heave on roll are dependent on the area of water plane, vertical center of gravity, heaving response amplitude and encountering frequency of a ship in terms of the nonlinear static coupling formulae. The nonlinear effects of heave on ship roll are also dependent on the longitudinal center of floatation besides above factors. Examples of numerical simulations are presented, in which the influence of the nonlinearly coupled roll and longitudinal motions of a ship on the safe basin is shown.

关 键 词：非线性横摇运动 流场势能 静力耦合 安全池 

分 类 号：U661.1[交通运输工程—船舶及航道工程]