Devn 



(ii- i. i) 



i 



J V 



p ("a^+ r~*) d 1/ 



v o ox ' 



p (Q? A a^) d7T 



m g 

 O 



m 

 A 



W= 



M , 



a 

 c 



a 

 ox 



P 



col 



specific mass of water 

 acceleration of gravity 



mass of the buoy 



| ~dX , dY_ , _djp , _d9_ , dV "| 

 Ldt dt dt dt dt J 



Tensors of inertia , added inertia and damping 



Immersed volume at time t 



Acceleration of fluid particles due to orbital motion 

 of the waves imperturbated by the buoy 



= (a . x) . x where x is unity vector of Ox axis 



Current point on the buoy axis of revolution 



The tensors M , Q , and N are considerably 

 simplified due to the fact that the buoy is a slender 

 boy of revolution . 



M = diag m, m, m, Ixx, 



iyy. ol +0 (r 2 ) 



O = 



o 

 o 

 o 



m 

 O 



o 



m 

 O 



yy 



m 



P<P 



'ex 



o 

 o 



o 

 o 



m 

 O 

 O 

 O 



o 



m 

 O 

 J 

 O 

 O 



xG 



Y<f 



xx 



O 

 O 



o 



J 



yy 



o 



o 

 o 

 o 

 o 

 o 

 o 



1032 



