Murthy 



It will be readily observed from the above equations that 

 when x = i. e. when the C. G. of the waterplane area of the side 

 hulls lies below the C. G. of the ACV, the pitch and heave displace 

 ments are uncoupled. 



The above equations are applicable to arbitrary non-uniform 

 cushions. From (6-15) and (6-18) we readily obtain 



2pgm, J 





1 L B +L S 



Vh 



+— 



\ //(ffPpi^oieo > dxdy <6 - 20) 



g J J XX 



m g j 



S 



o 



so that the steady surge and pitch displacements of ( /3 ) are zero 

 of the thrust line passes through the C. G. 



The other four displacements can be obtained from the four 

 equations (6-14), (6-16), (6-17) and (6-19). 



The displacements in the lowest order 

 55 100 + "*010 



* E 100 + ^010 



and 



he + 86 



100 010 



have thus been solved. The higher order displacement of ( 5/3) 

 can also be obtained by considering the higher order forces and 

 moment. 



In the case of uniform cushions or non-uniform cushions with 

 fore-and-aft symmetry, 



ffp o dxdy = 



X 



S 

 o 



146 



