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

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  • S. K. Das
  • S. N. Das

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.

Suggested Citation

  • S. K. Das & S. N. Das, 2007. "Modeling of Coupled Roll and Yaw Damping of a Floating Body in Waves," Mathematical Problems in Engineering, Hindawi, vol. 2007, pages 1-17, April.
    • Handle: RePEc:hin:jnlmpe:096373
    DOI: 10.1155/2007/96373
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