【摘要】 为了研究甲板带水时船舶的横摇运动，在运动方程中采用线性加平方型阻尼项。船舶模型试验表明，线性加平方型阻尼项在船舶横摇方程中保留了物理系统的关键动力学特性，为此倾向于采用该阻尼项。作为潜在混沌横摇运动（无规律摇摆）域的上限，本文采用一种基于梅尔尼科夫函数的新方法来建立船舶稳定性衡准。此外，开发的梅尔尼科夫衡准通过使用相平面图和庞加莱映射进行验证，本研究进行了系统改变横摇方程中系统参数的首次尝试。更多还原

【Abstract】 To study the rolling motion of a ship in the presence of water on its deck, a linear-plus-quadratic damping term was incorporated into its equation of motion. Ship model tests indicates that the key dynamics of the physical system are preserved in the ship rolling equation with the linear-plus-quadratic type damping term. To take into account the presence of randomness in the excitation and the response, a new method was developed and a Melnikov criterion was obtained to provide an upper bound on the domain of the potential chaotic rolling motion(erratic rocking). Additionally, the Melnikov criterion proposed in this study was verified by the utilization of phase plane diagrams and Poincare maps. Furthermore, this research has made the initial endeavor to systematically modify the system parameters in the rolling equation of motion for ship stability analysis.更多还原