Journal of Marine Science and Technology

, Volume 24, Issue 4, pp 1071–1077 | Cite as

Estimating a non-Gaussian probability density of the rolling motion in irregular beam seas

  • Atsuo MakiEmail author
  • Masahiro Sakai
  • Naoya Umeda
Original article


A methodology for predicting the probability density function of roll motion for irregular beam seas was developed in previous research. That work introduced a non-Gaussian probability density function (PDF), which shows a good agreement with Monte Carlo simulation (MCS) results in comparison with linear theory results. However, if the nonlinear damping coefficient in a system is large, the PDF delivers estimations that do not match the MCS results. The procedure reported herein improves the prediction accuracy using a non-Gaussian PDF that takes a nonlinear damping term into account.


Irregular beam seas Non-Gaussian probability density function Nonlinear damping 



This work was supported by a Grant-in-Aid for Scientific Research from the Japan Society for Promotion of Science (JSPS KAKENHI Grant Number 15H02327). The authors would like to thank Enago (http:// for English language review.


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Copyright information

© JASNAOE 2018

Authors and Affiliations

  1. 1.Department of Naval Architecture and Ocean Engineering, Graduate School of EngineeringOsaka UniversitySuitaJapan

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