Analyses of Multiple-Float-Supported Platforms in Waves 



HYDRODYNAMIC I ORCES AND MOMENTS 



Relationship to Potentials 



The linearized hydrodynamic pressure is given by 



(7) = ipa;^ (7) (19) 



where, for the radiation problem <p^' = <p a ' b ' ^a s b , and for 

 the diffraction problem tp^' = <pj(° +e ) + v>jy e ^ . Using the single 

 superscript notation for the radiation or diffraction problem, the hydro- 

 dynamic forces and moments are given by 



F s - -J C P dz 

 •(7) f (7), 



Ay) . f 



R JC 



where C = body contour C a or C^ 



f r T) = fc p(7) (y d y + zdz ) ( 2 °) 



Non-dimensional hydrodynamic moment arms for the sway 

 and heave components of force, taking account that the pressure is 

 complex, p^' = p r ^ + ip-j/ , can be written 



(21) 



811 



