Abstract
A study of the ship capsize phenomenon due to parametric resonance is conducted aiming to identify the occurence of a critical condition leading to capsize by considering an analytical solution of an equivalent linearised equation describing the problem in conjunction with results of numerical simulation of the non-linear equation. The main objective of this paper is to formulate the problem in a way that enables an analytical solution to be derived and facilitates an investigation towards identifying the occurence of the critical condition leading to capsize through comparative studies between the analytical solution and the results of numerical simulation.
Finally, a method for judging the possibility of ship capsize due to parametric resonance is proposed based on application of the energy balance method during the critical rolling motion.
