Abstract
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.
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