Finite element analysis of the forced oscillations of ship hull forms

Abstract

A study of the first and second-order, dynamic, ideal fluid effects on the forced, harmonic oscillations of a rigid cylinder in a free surface is presented. The solutions are obtained with a FORTRAN IV computer program based on the finite element method using isoparametric elements. First-order added mass and damping in heave for a semicircular and bulb hull form including finite depth effects are presented. Second-order solutions for the semi-circular hull form in heave also including finite depth effects are obtained. The solutions are verified by comparing with existing theory and experiment.