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首页> 外文期刊>Journal of marine science and technology >Nonlinear analysis of parametric rolling in longitudinal and quartering seas with realistic modeling of roll-restoring moment
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Nonlinear analysis of parametric rolling in longitudinal and quartering seas with realistic modeling of roll-restoring moment

机译：纵向和四分之一海参数化滚动的非线性分析及恢复力矩的逼真的模型

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Parametric rolling of a containership in longitudinal and quartering seas is examined by applying nonlinear dynamics to a 1DOF mathematical model with realistic modeling of the wave effect on roll-restoring moment. In our previous work, we confirmed that a mathematical model with a rollrestoring moment in waves calculated with the FrondeKrylov assumption could considerably overestimate the danger of capsizing associated with parametric rolling. Therefore, in the present work, all numerical calculations based on nonlinear analysis were carried out with the direct aid of a measured roll-restoring moment in waves. For this purpose, captive model experiments were conducted for various sets of wavelengths in longitudinal seas. This experiment demonstrates that the Froude-Krylov prediction could not explain the wavelength effect on restoring moment as the wave-steepness effect. Using the numerical model with the aid of this measured roll-restoring moment, the Poincar6 mapping technique was applied to identify bifurcation structures of roll motions not only in longitudinal seas, but also in quartering seas. As a result, it was confirmed that capsizing associated with parametric rolling is more likely to occur in following seas than in quartering seas. However, period-doubling and chaos appeared in quartering seas. Finally, an averaging method assuming a period-2 orbit was applied to the same model with the same conditions as the Poincar6 map. Reasonably good agreement was obtained between the numerical results with a Poincare map and those with the averaging method in longitudinal seas, but the averaging method has limited capability in quartering seas.
机译：通过将非线性动力学应用于一维自由度数学模型，对波浪对横摇恢复力矩的影响进行了实际建模，研究了集装箱船在纵向和四分之一海中的参数横摇。在我们以前的工作中，我们确认了用FrondeKrylov假设计算出的波浪中具有侧倾恢复力矩的数学模型可以大大高估与参数滚动相关的倾覆危险。因此，在目前的工作中，所有基于非线性分析的数值计算都是在波浪中测得的侧倾恢复力矩的直接帮助下进行的。为此，对纵向海洋中的各种波长进行了俘获模型实验。该实验表明，Froude-Krylov预测无法将波长对恢复力矩的影响解释为波速陡度效应。在此测得的侧倾恢复力矩的帮助下，使用数值模型，将Poincar6映射技术应用于不仅在纵向海中而且在四分之一海中识别侧倾运动的分叉结构。结果，证实了与参量滚动相关的倾覆在后面的海中比在四分之一海中更可能发生。但是，在四分之一海中出现了倍增和混乱。最后，在与Poincar6映射相同的条件下，将相同周期的平均方法应用于第二个模型。使用Poincare映射的数值结果与使用纵向海域求平均值的方法在数值结果上取得了合理的良好一致性，但该平均值法在四分之一海中的能力有限。

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