Theoretical estimation of joint probability density function of roll angle and angular acceleration in beam seas using PDF line integral method
Theoretical estimation of joint probability density function of roll angle and angular acceleration in beam seas using PDF line integral method
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PDF线积分法理论估计横摇角与角加速度联合概率密度函数
DOI：
10.1007/s00773-022-00873-x
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发表时间：
2022
影响因子：
2.6
通讯作者：
Atsuo Maki,Leo Dostal,Yuuki Maruyama,Kenji Sasa,Masahiro Sakai,Kei Sugimoto,Yusuke Fukumoto,Naoya Umeda
中科院分区：
文献类型：
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作者：
Atsuo Maki;Leo Dostal;Maruyama;Masahiro Sakai;Toru Katayama;Kei Sugimoto;Yusuke Fukumoto;Naoya Umeda;Atsuo Maki,Leo Dostal,Yuuki Maruyama,Kenji Sasa,Masahiro Sakai,Kei Sugimoto,Yusuke Fukumoto,Naoya Umeda
到目前为止，我们已经发展了一种计算滚转角加速度及其导数的方法，这是一个加加速度。在这项研究中，使用概率密度函数（PDF）线积分方法和联合PDF（JPDF）的滚动角和角速度，我们得到了一个理论方法的评估这两个属性。特别地，加速度的估计方法被认为是至关重要的，因为角加速度直接与机载物体的惯性力或力矩相关。此外，为了考虑集装箱堆垛的强度以及船上货物和轨道的绑扎强度，单独评估横摇角和横摇角加速度是不够的。此外，虽然国际海事组织已经讨论了新一代的过度加速度的完整稳定性标准，但JPDF对横摇角和横摇角加速度的评估可能有助于有效评估船上船员的安全。同时，对于任意非线性系统，目前还没有计算出滚转角或角加速度的JPDF，这无疑是一个具有挑战性的问题。在本研究中，借由应用及延伸PDF线积分法的思想，我们提出一种计算滚转角及角加速度JPDF的方法。
So far, we have developed a calculation method for roll angular acceleration and its derivative, which is a jerk. In this study, using the probability density function (PDF) line integral method and the joint PDF (JPDF) of roll angle and angular rate, we obtain a theoretical method for the evaluation of the two properties. In particular, the estimation method of acceleration is considered crucial, as the angular acceleration is directly related to inertial forces or moments of onboard objects. Moreover, to consider the strength of container stacks, as well as the lashing strength of cargo and track on board, a separate evaluation of roll angle and roll angular acceleration is insufficient. Further, although the new-generation intact stability criteria for excessive acceleration have been discussed by the International Maritime Organization, the evaluation of JPDF of roll angle and roll angular acceleration could contribute to the efficient evaluation of the safety of crews on board. Meanwhile, no JPDF of roll angle or angular acceleration has been calculated for an arbitrary nonlinear system so far, and there is no doubt that it is a challenging problem. In this study, by applying and extending the idea of the PDF line integral method, we proposed a method for evaluating the JPDF of roll angle and angular acceleration.