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The broaching that follows the surf-riding is a dangerous phenomenon that canlead to the capsizing of a vessel due to its violent yaw motion. Most of theprevious studies on surf-riding phenomena in irregular waves have beenconducted by replacing irregular waves with regular waves. In contrast, thisstudy provides suggestions on how to directly calculate nonlinear surge motionin irregular seas. In this study, the statistical aspects of the surf-ridingphenomenon are first presented. Then, under several approximations, we show howto calculate the probability density function theoretically. Although theresults obtained are based on strong approximations, it is found that thenonlinear surge oscillations in irregular following seas can be explained froma qualitative point of view.

Approximate probability density function for nonlinear surging in irregular following seas