Distribution of Hydrodynamic Forces on a Shipmodel 



Fjj.Fp oscillatory part of the hydromechanical force on a heaving or 

 pitching ship, 



g acceleration of gravity, 



kyy longitudinal radius of inertia of the ship, 



Lpp length between perpendiculars, 



M^,M^ amplitude of moment on a heaving or pitching ship, 



Mjj.Mp oscillatory part of the hydromechanical moment on a heaving or 

 pitching ship, 



m' added mass of a cross- section (zero speed), 



N' damping coefficient of a cross- section (zero speed), 



t time, 



V forward speed of ship, 



X y z right hand coordinate system, fixed to the ship, 



'^o-yo' ^o right hand coordinate system, fixed in space, 



z^ vertical displacement of ship, 



X. distance of centre of gravity of a section to the pitching axis, 



a, /3, 7, s phase angles, 



pitch angle, 



p density of water, 



oj circular frequency, 



V volume of displacement of ship, and 

 V* volume of displacement of section. 



REFERENCES 



1. Korvin-Kroukovsky, B. V. and Jacobs, W. R., "Pitching and heaving motions 

 of a ship in regular waves," S.N.A.M.E., 1957. 



2. Fay, J. A., "The motions and internal reactions of a vessel in regular 

 waves," Journal of Ship Research, 1958. 



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