3 Knots 



(J in rod/sec 

 Figure 6d 









n—a 



D-1>- 



-^ 

























^ 



N 























N 



\ 



















4 Knols 



\ 







-90 

















\ 



















O 1 in 

 a± in. 



\ 





















\ 



















\ 





-180^ 





















^ 



3 









5 









IC 



u in rod/sec 

 Figure 6e 



Damping 



2. i(cjl + 180 ) 



A^a,^e'<^' 



Cz„«'"' 



Buoyancy 



Figure 7 - Vector Presentation of 



Buoyancy, Damping, and 



Inertia Forces 























1 







-.^ = 0.09 













"^ 







1 







_> = 0.I8 













1 































i 





















;, 



•-. 







— J^ = 0.27 





































i 















D J^ = 0.i8 

 o J< = 0.09 

 A > =0 







1 

 1 



















I 







-J* = C 



.36 













\\ 



























V 



K 













-^=0,0.09,0.18 







\ 









j:. 



rr 



^i-f-/^ 



3SS of 





i 



L 



J 



l^ 



t^ " 























^ b 



W 



















V 



Points on Grim's Low 

 Frequency Approximolion 



























Figure 8 - The Variation of Added Mass 

 Coefficient with Frequency 



12 



