Wave Forces on a Restratned Ship tn Head-Sea Waves 
Og 
f 2 Dp f 
(iw +p) #5 ~ EZ Ad = © jon z=) (14) 
At an appropriate later point, we willlet mu goto zero. 
The solution to (13) and (14) with z,=0 can for instance 
be found in Ogilvie & Tuck (1969) and is 
1 lwt ik -i 
ce) Ge, ¥s zt) = = gore f axel F lo (xe* ’*} 
D 4 2 
Ld — 0 
(15) 
r a? ify + z k ott 
lim | 
liga «2 4 92 eae Ehalanert 
Here 
\ -ivx - ikx - ivx s 
F ia (x) e } = dxe a(x) e = o*(k + v) 
Expression (15) can be rewritten in a form which is more convenient 
to handle for our purposes. The derivation is shown in Appendix A. 
We can write 
i( wt - vx) 
o> (sxc, y¥,, at) @=) b(x;:y,/z) | (16) 
where 
LT es 
