Unstable Motion of Free Spar Buoys in Waves 



Pg 



/ 



dl^=m g + p g S(o).' 



2 h. 



i f s < o 



i f o < s < h, 

 i 



i f h o 



2 s£ s 



Pg 



Jy, 



d Z/ = mg + pg S(o) . 



(Z -/) + £('.' ) 



with 



(II-2.2) 



f(« 



i f s < 



if ^ s ^ h. 



2h 



-2- -sif s ^ h„ 

 2 2 



The calculation of the integral in the right hand side of the 

 equation (II- 2.1) is much simplified by the hypothesis of slender 

 body theory and if we suppose that 



h 2 = O(R) 



and k R o (R) 



o = 



then ks = o (R) 



p / %zo &V = - p g S (o) C kH Q o (k)/ + o(R) J 



Y p 



with the notations displayed in the nomenclature . 



1035 



