Maruo 



reliable approximation of the present problem, if the speed parameter y^ is 

 greater than 5. Instead of the condition of constant beam, Bessho proposed an- 

 other side condition as a substitute. That is a condition of constant moment of 

 inertia of the water plane with respect to the transverse axis. 



1-2 



f(x) x^dx = constant . 



(25) 



In this case, the integral equation satisfied by the minimal solution becomes 



r 



f(x') K(x - x') dx' 



ki + k^x^ 



(26) 



The solution exists and is unique. If the solution of the problem with a single 

 condition of constant volume is designated by f^Cx), the solution with dual con- 

 dition is expressed as 



f(x) = f^(x) + /3fi(x) 



(27) 



where /3 is the difference between the given midship beam and iJO). Bessho 

 published the function f i(x) for the dual condition involving the constant moment 

 of inertia. Figure 1 shows a comparison between the asymptotic approximation 

 for constant beam and Bessho's substitute. 



-1.0 



DOTTED LINE BY BESSHO 



Figure 1 



1026 



