Nonlinear Parametric Rolling in Regular Waves: An Approximate Analytical Solution for the Response Curve in the Region of First Parametric Resonance

Author:

Bulian Gabriele1

Affiliation:

1. University of Trieste

Abstract

An approximate analytical solution for the parametric roll response curve in the first parametric resonance zone is presented. Comparisons between analytical predictions and results obtained by means of numerical time domain simulations are performed in order to check the accuracy of the method. The use of a highly nonlinear 1.5-DOF model allows the disclosure of the presence of fold and pitchfork bifurcations. The method can be a simple and good aid both in the early design stage and for experimental planning. As an exercise showing the capabilities of the analytical methodology, the influence of damping parameters on the roll response is analyzed for a roll-on/roll-off (RO/RO) Pax.

Publisher

The Society of Naval Architects and Marine Engineers

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Numerical Analysis,Civil and Structural Engineering

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