On the issue of modeling the dynamics of a vessel in head-on waves under conditions of the bow being buried in a wave

When operating vessels in stormy conditions, the problem of flooding arises, an extreme case of which is the burying of the bow end in a wave. In this case, hydrodynamic loads of significant magnitude may act on the deck at the bow end and above-deck structures, which may result in a violation of local and general strength, as well as the loss of the vessel due to the loss of stability. The magnitude of these loads can be estimated based on modeling the longitudinal roll of the vessel, taking into account the burying of the bow end of the vessel in a wave. Using the complete system of equations of longitudinal roll, a mathematical model was proposed that allows describing the dynamics of a vessel in head waves under conditions of periodic burying of the bow end in a wave. This model can be used to calculate the hydrodynamic loads acting on the deck when the bow end buries in a wave. An assessment was made of the effect of changes in added masses and moments of inertia on the dynamics of the vessel and the magnitude of the loads. The results obtained using the proposed model are compared with those obtained within the framework of a simplified scheme that does not take into account the effect of vertical rolling on pitching. The results of the comparative analysis showed the possibility of using both approaches to assess the magnitude of hydrodynamic loads. Using the proposed model, an assessment of bending moments at the midship under irregular waves was performed.