Risk evaluation of ship dynamic stability in regular waves

Abstract

In this paper, a method combined with the existing approaches is proposed for evaluating and predicting the safety of ship rolling in regular waves. Based on the uncoupled equation of a single degree of freedom, the nonlinear ship rolling in waves is presented and the differential equation is integrated in the time domain by the fourth order Runge-Kutta algorithm. The erosion of the safe basins of a ship roll equation is simulated and the survival probability of a typical ship is studied according to the statistical and simulation results. The numerical results show that the survival probabilities of ship excited by the forces of the seas, especially in the regular wave status, can be predicted combining the statistical data and the basin erosion technique.