LIST OF FIGURES 



Page 



Figure 1 - The Coordinate Systems 3 



Figure 2 - Plot of the Surge Amplitude -Wave Amplitude 



Ratio for the Circular Cylinder 18 



Figure 3 - Plot of the Pitch Amplitude-Wave Slope Ratio 



for the Circular Cylinder 18 



Figure 4 - Plot of the Heave Amplitude -Wave Amplitude Ratio 



for the Undamped Circular Cylinder 20 



Figure 5 - Plot of the Heave Amplitude-Wave Amplitude Ratio 



for the Damped Circular Cylinder vi^ith R/H =0.1 20 



Figure 6 - Plot of the Heave Phase Lag for the Damped 



Circular Cylinder v/ith R/H =0.1 21 



NOTATION 



A Incident wave amplitude 



g Gravitational acceleration 



H Body draft 



I Body moment of inertia in pitch about the center of gravity 



i = nTH" 



Jq Bessel function of the first kind of order zero 



K Wave number, oj /g 



2 



ky Radius of gyration, k = I/m 



m Body mass 



n Unit normal vector into the body 



Pn = /°j^ (z - ^<^f S(z)dz 



