Kim and Mevciev 



L. = e sin(i"?.. 1 + a) -e sin{vn.+a.) 



3 J +1 3 3 3 



where 



a, b = the suffixes indicating the terms of the bodies 



a and b , respectively 



(y) (y) 



Q- *Qivr + - = ^e real and imaginary parts of the complex 



source strength, uniformly distributed over the 

 elementary j segment of bodies a or b 



(r)-> f.),etc = the coordinates of the end points of the j 

 segments 



a. = the slope of the j segment 



(t) 

 The far field wave h + is derived from the far field potential 



*J?) (Eq.23) as 



(7) (7) 



. iA\. i(±,y + e; ) (25) 



h = = e 



Let the complex amplitude ratio be 



A' (7) *i<' (7) U {y) 



A (7) - - A< 7) Ia< 7) I * /or, 



A, e ; A+ - A , e (26) 



The energy conservation law leads to the well known relation 

 between the hydrodynamic damping coefficient N^ m ' and the radiated 



wave amplitude ratio A 



N (mJ 



(m)| 



2 



A 



(27) 



where 



+ = suffix indicating the radiated wave at y— *+<*> 

 or -oo . 



I (4) I 

 It is to be noted that A_i_ has the dimension of length ; in other . 



1(4)1 I i ' I in \| I / Q )\ 



words A + v ' is not a non-dimensional, whereas the A-f^' , Af ' 



are. 



816 



