Open AccessModeling of Coupled Roll and Yaw Damping of a Floating Body in Waves
Author(s) -
Sukhen Das,
S. N. Das
Publication year - 2007
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2007/96373
Subject(s) - moment of inertia , added mass , nonlinear system , inertia , viscous damping , perturbation (astronomy) , mechanics , physics , moment (physics) , control theory (sociology) , damped wave , distortion (music) , numerical integration , mathematical analysis , classical mechanics , mathematics , acoustics , computer science , vibration , amplifier , control (management) , optoelectronics , cmos , quantum mechanics , artificial intelligence
A mathematical model is described to investigate the damping moment ofweakly nonlinear roll and yaw motions of a floating body in time domainunder the action of sinusoidal waves. The mathematical formulation for addedmass moment of inertia and damping is presented by approximatingtime-dependent coefficients and forcing moments when small distortion holds.Using perturbation technique, we obtain orderwise equations wherein theclosed-form solution is obtained for zeroth-order case, and for higher-ordercases we resort to numerical integration using Runge-Kutta method withadaptive step-size algorithm. In order to analyze the model result, weperform numerical experiment for a vessel of 19190 tons under the beam waveof 1 m height and frequency 0.74 rad/s. Closer inspection in dampinganalysis reveals that viscous effect becomes significant for roll damping;whereas for yaw damping, contribution from added mass variation becomessignificant
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