船舶大幅横摇运动

Large-amplitude rolling motion of a ship

本文讨论了六个自由度船舶非线性运动方程。在船舶作大幅横摇运动假定下,采用压力积分方法,利用Taylor展开,导出其他自由度运动对横摇的非线性耦合运动方程。得到其他自由度运动对横摇的非线性耦合系数表达式,以及入射波和绕射波对横摇扶正力矩的非线性影响。结果表明,纵向运动对横摇的非线性静力耦合作用不存在,它们之间的耦合主要是由波浪引起的。

A nonlinear equation of ship motions with six-degree-of-freedom was studied. The nonlinear rolling equation coupled with other motions was derived on the basis of large amplitude rolling motion, and by using an integrated pressure and Taylor expansion method. The expressions for the coupling coefficients of other motions to rolling equation were derived, and the nonlinear effects of restoring moment caused by incident and diffraction waves were also included. The result shows that the static coupling of longitudinal motions to the rolling equation does not exist, the coupling between them is mainly caused by waves.