Studying of the dynamic behavior of the rolling ship on sea waves is one of topics of
special interest due to its close association with the ship stability and its direct impact on
the efficiency of the work of some of the systems and processes ins
ide the hull. This paper
includes an explanation of the proposed mathematical model to study the dynamic
behavior of the rolling ship on irregular waves in order to calculate the curves as a
function of ship breadth at different values of ship speed, bearing angle and metacenter
high, and thus determine the ship speed and bearing angle that causing resonance at
defined value of metacenter high. In addition to determine the critical breadth coincide
with the design speed of the ship. A computer program was prepared to perform
calculations according to the proposed model, which allowed studying the effect of some
parameters of the investment of the vessel (ship speed, and the angle of its route for the
main direction of spread of the waves) on ship rolling. It had been reached through this
research to extract mathematical equations which allow a precise and clear explanation of
the dynamic behavior of the ship rolling on waves.