斜浪中参强激励横摇运动的数值模拟与解析分析

摘要

When a ship is sailing in oblique seas, parametric excitation and forced excitation will act on the ship at the same time, which may lead to large rolling or even capsizing. Numerical simulation methods for 3-DOF and 1.5-DOF coupled motion are proposed in this paper, with consideration of instantaneous wet surface and coupling motion among heave, rolling and pitching. By using this method, numerical results of C11 ship are calculated, which fitted well with experimental results. Correctness of this method is verified. Analytical results are obtained by using multiple scales method, while stability domains of trivial solution and periodic solution are obtained.%船舶在斜浪中航行时，参数激励与强迫激励将共同作用于横摇运动，可能引发大幅横摇，甚至船舶倾覆。考虑船舶瞬时湿表面的影响，以及垂荡、横摇和纵摇之间的相互耦合，提出了3自由度耦合运动数值模拟方法和1.5自由度横摇运动数值模拟方法。以 C11船为例，采用该方法进行斜浪中参强激励横摇运动的数值模拟，并与试验结果进行对比，验证了数值方法的正确性。在数值模拟的基础上，使用多尺度法求出解析解，并求出了平凡解和周期解的稳定域。