Analyses of Multiple-Float-Supported Platforms in Waves 



(n> a ,m b ,, SaSb ) <m a ) 



-2i(y ,z ) = -icou ^a' z a ; 



on a a n 



-^(y b ,y b ) - -ia,u n (y^zje (14) 



(m a ) 



with u (y , z ) = sin a. for m = 2 



n J a a k a 



«cos a, 3 



k 



= -(y cos a +z sin a,) 4 



17 a k a k 



cV 



for body a, and similarly for body b . The normal velocity >T in 

 Eq. (14) is taken to be the velocity induced on the k segment by all 

 of the other segments, a^. = the orientation of the segment S k in 

 accordance with Ref. 28. 



Two special cases of interest may be mentioned. If the bodies 

 a and b are rigidly connected twin cylinders, Eq.(14) takes the form 



b<P , x _ (m) > 



-^— y ,z - -icou y ,z ) 



dn a a n ^a a 



(m) , , 



-|S- (y,,zj = -iam ■ (y^.z,) (14a) 



dn bb n ^bb 



while if body a is oscillated while body b is fixed, Eq. (14) reduces 

 to 



oV (y , z ) , v 



J a' a . (m) , 



= -lam (y ,z ) 



^ n J a. a. 



dn 



■N ( m ^/ „ \ 



a<p (y h > z J 



° ^_ = (14b) 



dn 



The Diffraction Problem 



Consider an incident wave 



h = ae il/y (15) 



where a = wave amplitude 



v = wave number 



809 



