Nonlinear parametric rolling in regular waves—a general procedure for the analytical approximation of the GZ curve and its use in time domain simulations
Nonlinear parametric rolling in regular waves—a general procedure for the analytical approximation of the GZ curve and its use in time domain simulations
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DOI：
10.1016/j.oceaneng.2004.08.008
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发表时间：
2005-03
影响因子：
5
通讯作者：
G. Bulian
中科院分区：
文献类型：
--
作者：
G. Bulian
给出了规则纵波中恢复臂解析近似的一般方法。这种近似的目的是为了获得一种分析和准确的手段，以取代在真实的非线性参数卷曲的时域模拟中的查找表法。该模型基于1.5自由度系统：横摇运动是用单自由度动态建模的，而附加的半自由度表明，通过静力计算的方法考虑了垂荡和纵摇的耦合，而不考虑动态影响。对分析方法的准确性进行了分析，同时考虑到问题的不同方面(时间历史、吸引域、混沌行为等)。所有的模拟都是使用从RoRo-Pax的真实船体获得的数据进行的。
A general procedure for the analytical approximation of the restoring arm in regular longitudinal waves is presented. The aim of the approximation is to obtain an analytical and accurate means for substituting the look-up table method in time domain simulations of realistic nonlinear parametric roll. The model is based on a 1.5-DOF system: the roll motion is modelled dynamically using a single degree of freedom, whereas the additional half DOF indicates that the coupling with heave and pitch is taken into account by means of hydrostatic calculations without considering dynamic effects. An analysis of the accuracy of the analytical approach is carried out taking into consideration different aspects of the problem (time histories, domains of attraction, chaotic behaviour, etc.). All the simulations are performed using data obtained from a real ship hull of a RoRo-Pax.