Approximate probability density function for nonlinear surging in irregular following seas

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

Subjects

Bifurcation

Broaching-to

Irregular seas

Stochastic differential equation

DDC Class

623: Military Engineering and Marine Engineering

510: Mathematics

Options

Approximate probability density function for nonlinear surging in irregular following seas