Abstract
The rolling motion of a ship has been described by a nonlinear differential equation explicitly taking into account the nonlinearities in both the righting moment and the damping. A perturbative analysis in the main resonance frequency region, relative to a regular beam sea, allows an estimate of the maximum amplitude predictable as a function of the excitation intensity. This is obtained through an algebraic equation from which the approximate solution can be given in an explicit form. To this effect, a simple formula relating the excitation to the maximum rolling is found. A comparison of the theoretical predictions with the experimental results shows quite a good agreement.
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