Boundary Approximations, Effect of Forward Speed and Implementation of Genetic Algorithm in Parametric Rolling

Abstract

This paper is the progressive research of the paper [1] titled "Stability of Offshore Barge Subjected to Parametric Rolling in Waves", and it deals with the boundary approximations for the instability zone of an offshore barge when subjected to parametric rolling in waves. The severity of the parametric rolling for the offshore barge is calculated by the mathematical modeling for solution of Mathieu's Differential equation using Matlab programming The frequencies prone to parametric roll resonance were identified and their threshold damping coefficient was then calculated. The susceptibility of parametric rolling including forward speed of ship was evaluated. Genetic Algorithm was implemented to find the most optimum angle of roll to enable us to determine the ratio of TCB to VCB for predefined upper limit of rolling