These constants give hydrodynamic coefficients in the coupled equation of 

 heaving and pitching as follows. 



(a+pV) z + b z o + c z - dip - e$ - gl^J = F 



(A+k Z pV) i> + BT|> + OJ» - D z - E z - G z - M 



yy & & & 



(186) 



where V is the displacement volume and k is the radius of gyration. On 



yy 



account of Haskind's relation, we have the relation 



D = d E = e 



(187) 



For numerical example, the hull form of Series 60, C = 0.7 is employed 

 because reliable data of model experiments have been available for 

 comparison. 



A it •& & 



The coefficients a , b , d , e , and also a, b, A, B, d, and e are 

 calculated. They are compared with results computed by means of the strip 

 theory and the measured results, as shown in Figures 5 through 7. One can 



X 10 



-2 



2.0 



1.0 



PRESENT CALCULATION 



ORIGINAL SLENDER 



BODY THEORY 



STRIP THEORY 



O EXPERIMENT BY GERRITSMA 

 AND BEUKELMAN 



■Q 



X 10 



5.0, 

 KL/2 



Figure 5 - Hydrodynamic Coefficients a and b 



66 



