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

Maruyama, Yuuki; Maki, Atsuo; Dostal, Leo

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

Number of Access:264（2025-08-14 03:33 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/98092

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Title
Probability density function of roll amplitude for parametric rolling using moment equation
Creator
CreatorName
Maruyama, Yuuki
NRID
1000050556496 1000050556496
ORCID
0000-0002-2819-1297 0000-0002-2819-1297
researchmap permalink
atsuo_maki atsuo_maki
Scopus Author ID
24503751100 24503751100
CreatorName
Maki, Atsuo
CreatorName
Dostal, Leo
Subject
Moment equation
Parametric rolling
Probability density function
Roll amplitude
Description
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.
Abstract
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.
Publisher
Springer
Source Title
Journal of Marine Science and Technology (Japan)
Volume (Issue)
29(3)
Page
641-655
Date of Issued
2024-09-01
Language
English
Handle URL
https://hdl.handle.net/11094/98092
PISSN
09484280
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.1007/s00773-024-01006-2
Access Rights
open access
CopyRight
This article is licensed under a Creative Commons Attribution 4.0 International License.
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article