Evaluating Capsize Boundary of Damaged Ro-Ro Ship Using Chaos Theory and Probabilistic Analysis

Instability in intact condition occurs when a ship’s motion changes periodically with time i.e. frequency of will match free- roll or multiples. In case damage stability, the instability due to flood water sloshing, series vibration occur along free surface effect, which metacentric height ship. Mathieu's effect is linear theory behind instability. Probabilistic stability analysis performed cases for Ro-Ro vessel understand most critical loading condition. Phase plots and radial are used find parameters ship at A new method modeling nonlinear dynamic behavior chaotic flooded developed results indicate that behaviour similar Duffings oscillation equation conditions can be captured by this model.