A mathematical model is described to investigate the damping moment of weakly nonlinear roll and yaw motions of a floating body in time domain under the action of sinusoidal waves. The mathematical formulation for added mass moment of inertia and damping is presented by approximating time-dependent coefficients and forcing moments when small distortion holds. Using perturbation technique, we obtain orderwise equations wherein the closed-form solution is obtained for zeroth-order case, and for higher-order cases we resort to numerical integration using Runge-Kutta method with adaptive step-size algorithm. In order to analyze the model result, we perform numerical experiment for a vessel of 19190 tons under the beam wave of 1m height and frequency 0.74 rad/s. Closer inspection in damping analysis reveals that viscous effect becomes significant for roll damping; whereas for yaw damping, contribution from added mass variation becomes significant.
Modeling of coupled roll and yaw damping of a floating body in waves
Mathematisches Modell der gekoppelten Roll- und Gierdämpfung eines Schwimmkörpers unter Einwirkung von Wellen
2007
17 Seiten, 16 Bilder, 3 Tabellen, 25 Quellen
Aufsatz (Zeitschrift)
Englisch
Determination of Roll Motion for a Floating Body in Regular Waves
Online Contents | 2006
|Determination of Roll Motion for a Floating Body in Regular Waves
SAGE Publications | 2006
|Taylor & Francis Verlag | 2008
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