Probabilistic determination of critical wave height for a multi-degree of freedom capsize model

In this paper a statistical methodology is extended to the nonlinear multi-degree of freedom vessel capsize problem in random seas. It is demonstrated that the study of transient motions, through analysis of the erosion of the vessel's safe basin mapped in the space of initial conditions [Soliman, M.S. Thompson, J., 1991. Transient and steady state analysis of capsize phenomena. Applied Ocean Research 13, 2], leads to significantly less conservative and potentially more accurate predictions of ultimate dynamic stability. The work presented herein pairs this approach with a statistical framework to yield feasible stability criteria.