Heave-excited rolling motion of a rectangular vessel in head seas

Abstract

A two-degree-of-freedom nonlinear numerical model is developed to simulate the heave-excited rolling motion of a vessel. The geometrical concepts of nonlinear dynamics and the methods of Simple Cell Mapping and Simplicial Mapping are applied to achieve a global understanding of the nonlinear behaviour of ship rolling. Parametric resonance, jump and bifurcations of the types of fold. Hopf, period-doubling and pitchfork are observed to occur in the simulated rolling motions. Chaotic motions are also predicted by the numerical model.