In pure heaving, we put V(x) = iooz , and we can write 



f(x)e 



io)t 



- (m +m') (-0) z ) - (N +N') i w z 

 z z g z z g 



(182) 



where m 1 and N' indicate the three-dimensional effect to the added mass 

 z z 



and damping coefficient, respectively. In the case of pure pitching, we 

 put V(x) = - icoxij; and we can write 



f(x)e = - (m x+m") to Tp + (N x+N") i u) \p 



(183) 



Here we put 



a=m+m' b=N+N' 



d = m x+m" e = N x + N" 



(184) 



and define the following integrals. 





-r 



* 



d x dx 



b = b dx 





= a x dx E = 



e = | e dx 

 -% 



I 

 B = 1 e x dx 



£ 



I; = b x dx 

 -£ 



> (185) 



65 



