学術雑誌論文

学術雑誌論文

Journal of Marine Science and Technology (Japan). 2024, 29(3), p. 641-655

Probability density function of roll amplitude for parametric rolling using moment equation

Springer

英語

2024-09-01

https://doi.org/10.1007/s00773-024-01006-2

The version of record of this article, first published in Journal of Marine Science and Technology (Japan), is available online at Publisher’s website: https://doi.org/10.1007/s00773-024-01006-2.

For the ship stability estimation and ship design, it is helpful to know the probability of the roll amplitude exceeding a certain threshold. Therefore, it is necessary to obtain the probability density function of the roll amplitude. In this study, first, we derive the moment values of roll amplitude by combining the moment equations and the linearity of expectation. With this, we propose a method to estimate the probability density function of the roll amplitude by using the obtained moment values. The results of our proposed method are compared to those obtained from Monte Carlo simulations. When the higher-order cumulant neglect closure method is used, the moment values resulting from the moment equations are close to the results of corresponding Monte Carlo simulations. In addition, our proposed method for deriving the probability density function of the roll amplitude is validated by comparison with Monte Carlo simulation results. In conclusion, we can state that the proposed methods for deriving the moments and the probability density function of the roll amplitude are available for practical use cases.

This article is licensed under a Creative Commons Attribution 4.0 International License.

98092

Probability density function of roll amplitude for parametric rolling using moment equation

Springer

英語

2024-09-01

Journal of Marine Science and Technology (Japan)

29

3

641

655

https://doi.org/10.1007/s00773-024-01006-2

https://hdl.handle.net/11094/98092