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- W2045160971 abstract "This paper investigates the motion response of a floating body in time domain under the influence of small amplitude regular waves. The governing equations of motion describing the balance of wave-exciting force with the inertial, damping, and restoring forces are transformed into frequency domain by applying Laplace transform technique. Assuming the floating body is initially at rest and the waves act perpendicular to the vessel of lateral symmetry, hydrodynamic coefficients were obtained in terms of integrated sectional added-mass, damping, and restoring coefficients, derived from Frank's close-fit curve. A numerical experiment on a vessel of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$19190$><mml:mrow><mml:mn>19190</mml:mn></mml:mrow></mml:math>ton displaced mass was carried out for three different wave frequencies, namely,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$0.56$><mml:mrow><mml:mn>0.56</mml:mn></mml:mrow></mml:math>rad/s,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$0.74$><mml:mrow><mml:mn>0.74</mml:mn></mml:mrow></mml:math>rad/s, and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$1.24$><mml:mrow><mml:mn>1.24</mml:mn></mml:mrow></mml:math>rad/s. The damping parameters (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$varsigma_i$><mml:mrow><mml:msub><mml:mi>ς</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math>) reveal the system stability criteria, derived from the quartic analysis, corresponding to the undamped frequencies (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$beta_i$><mml:mrow><mml:msub><mml:mi>β</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math>). It is observed that the sway and yaw motions become maximum for frequency<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$0.56$><mml:mrow><mml:mn>0.56</mml:mn></mml:mrow></mml:math>rad/s, whereas roll motion is maximum for frequency<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$0.74$><mml:mrow><mml:mn>0.74</mml:mn></mml:mrow></mml:math>rad/s. All three motions show harmonic behavior and attain dynamic equilibrium for time<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$t > 100$><mml:mrow><mml:mi>t</mml:mi><mml:mo>></mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math>seconds. The mathematical approach presented here will be useful to determine seaworthiness characteristics of any vessel when wave amplitudes are small and also to validate complex numerical models." @default.
- W2045160971 created "2016-06-24" @default.
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- W2045160971 date "2004-01-01" @default.
- W2045160971 modified "2023-10-16" @default.
- W2045160971 title "Determination of coupled sway, roll, and yaw motions of a floating body in regular waves" @default.
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- W2045160971 doi "https://doi.org/10.1155/s0161171204305363" @default.
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