Modeling of Coupled Roll and Yaw Damping of a Floating Body in Waves

Das, S. K.; Das, S. N.

doi:https://doi.org/10.1155/2007/96373

Mathematical Problems in Engineering

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Research Article | Open Access

Volume 2007 | Article ID 096373 | https://doi.org/10.1155/2007/96373

Modeling of Coupled Roll and Yaw Damping of a Floating Body in Waves

S. K. Das¹and S. N. Das²

Academic Editor: Semyon M. Meerkov

Received20 Apr 2005

Revised21 Nov 2006

Accepted28 Feb 2007

Published24 Apr 2007

Abstract

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 1 m 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.

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Copyright

Copyright © 2007 S. K. Das and S. N. Das. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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