This paper investigates the safe operational limits of roll for small vessels in regular waves through the use of an archetypal model of ship motion. The technique incorporates steady-state analysis with methods of quantifying the engineering integrity of transient motions. Both analytical and numerical methods are used and compared. The resonant response of the vessel is examined to reveal unacceptable solutions and superimposed on parameter space diagrams which include lower bounds for fractal erosion of basins of attraction.

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