Newman and Tuck 



1.0 

 0.9 

 0.8 

 0,7 



0.6 



I- 

 I 

 o 



UJ 



^ 0.5 

 u 



> 

 < 



0.4 

 0.3 

 0.2 



FIRST ORDER THEORY 



SECOND ORDER THEORY 



O EXPERIMENT 



2.0 



3.0 



4.0 



5.0 



6.0 



5.0 3.0 2.0 1.5 1.0 



0.8 



L 



0.5 



0.3 



Fig. 6 - Heave response from second order theory 

 compared with first theory and experiments 



0.2 



,(FS) 



(X) 



I 



K(x-^, oj) Q(^)d^ 



(1.2) 



where 



Q(x) 



f M 



J Bn 



dl 



(1.3) 



is the flux through the cross section c of the ship at the station x. Since dcp/dn 

 is given from the hull boundary condition, Q is calculable as a function of hull 

 geometry and the motion amplitudes. On the other hand the function K is a 



138 



