Force Pulse Testing of Ship Models 



n=l 



"" iw t 



fs^t) = X^ F3(a.J e " 



n= 1 

 CO . . 



n=l 



(4) 



i cj t 



X5(%) e 



n=l 



'^sCt) - 2 x^Co^J 



where F3, Fj , X3 , and x^ are complex valued coefficients. 



For a linear system, the components of the response for a given frequency 

 oj are due only to the excitations at that frequency. Thus, we have 



'^ai^^) = ^31(0.) R*3(a;) + F,,(co) rI^(c^) 



(5) 



Experiment II 



The model was excited in heave only. The analysis is identical with the 

 above, except that the excitations Fgjj are zero. We have the equations 



''311 ~ ^311 ^ 



3 11 ^an ^3 3 



(6) 



'5 n ^ an "35 ' 

 From Eqs. (5) and (6), we obtain 



(7) 



451 



