Wave Forces on a Restratned Shtp tn Head-Sea Waves 
It is found that the near-field equations for V5 is 
2 z 
ee ane vPened (38) 
role 4 0Z 
( ae k) y S09 Soon ay = 19 (39) 
0Z 2 
av, 
uc 0 on the body . (40) 
In addition ~Y must match with the far-field solution 
, (39) and 
Ursell (1968 a) has derived a solution of (38) 
(40). It can be written as 
kZ 
A, (x) e + 
fee . [G(kY,kZ;k¢ (s),k n(s) ) 
Va = 
C(+) 
(41) 
+ G(kY,kZ; - k= (s), ky (s) ) J as | 
where 
2 2 
G(kY,kZ; kE ,ky ) = Ko [x PA{Y-é) (Z-n) | 
oe cos coshyutl 1 : : 
if f ae ere exp [ik(Y -£) sinhy + k(Z+7) 
cos hu | du (42) 
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