Abstract
A simulation study has been undertaken of the rolling motion of a ship in random beam waves. For this purpose it was assumed that a single degree of freedom equation of motion was appropriate, with non-linearities in both the damping and restoring moment terms. By generating long realisations of a suitable random input process, and numerically integrating the equation of motion to obtain corresponding realisations of the roll response process, simulation estimates of the roll amplitude cumulative distribution, and the standard deviation of roll, were obtained. These estimates were compared with theoretical predictions, for a realistic range of parameters.
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