Non-standard stochastic averaging of large-amplitude ship rolling in random seas
Non-standard stochastic averaging of large-amplitude ship rolling in random seas
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DOI：
10.1098/rspa.2012.0258
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发表时间：
2012-12
期刊：
影响因子：
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通讯作者：
L. Dostal;Edwin Kreuzer;N. Namachchivaya
中科院分区：
文献类型：
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作者：
L. Dostal;Edwin Kreuzer;N. Namachchivaya
目前的船舶完整稳性标准没有充分考虑其在不规则波中的动态行为。我们提供了船舶和海况参数，表明大的滚动振幅或倾覆，并确定这些事件的平均时间的分析标准。这些结果可用于制定参数滚转发生时的易损性准则。我们使用降阶模型，以执行这个复杂的问题的分析。因此，我们研究船舶在随机海浪中的动力学作为一个扰动的哈密顿系统。通过随机平均获得的马尔可夫过程近似的随机过程的能级的哈密顿系统。波浪噪声是一种非白平稳随机过程。这是以前结果的推广，其中使用了白色噪声激励。
The current intact stability criteria for ships do not account for their dynamic behaviour in irregular waves sufficiently. We provide analytical criteria for ship and sea state parameters that indicate large roll amplitudes or capsizing and determine the mean time for these events. These results can be used to formulate vulnerability criteria for the occurrence of parametric roll. We use reduced order models in order to perform an analytical analysis to this complicated problem. Therefore, we study the dynamics of a ship in random seas as a perturbation of a Hamiltonian system. The random process across the energy levels of the Hamiltonian system is approximated by a Markov process, which is obtained by stochastic averaging. The noise owing to wave excitation is a non-white stationary stochastic process. This is an extension to previous results, where white noise excitation was used.