Nonlinear dynamics of ship capsizing due to broaching in following and quartering seas

摘要

To provide a theoretical methodology to predict the critical condition for capsizing due to broaching, a nonlinear dynamical system approach was applied to the surge-sway- yaw-roll motion of ship running with an autopilot in following and quartering seas. Fixed points of a mathematical model for the ship motion and unstable manifolds of the fixed point near the wave crest were systematically investigated.