Zero-Frequency Hydrodynamic Coefficients of Vertical Axisymmetric Bodies at a Free Surface

Yurnerical results are given for the addcd mass o l wrticnl nxisrmmetric br~dies piercing a free surface when Ihe fwql~cncy tends tu zeru. The numerical scheme employ a liniiu-ulumunl mrlhud which is based an the lheorv of calcutu\ o f vnr ia l ims. Spccifir. body geometries treated here are a family of sphuruids (oblate and pmlale sphemids) and a Fumily ~ r l vcrticlil circular cylinders with xarioos slenderness ratios. Thu cast when the free hurface plaw dues not intersect the center nC thr spheroid i* Iruatvd. Specifirally. Ihe heave and pitch rnoiionb are confidered. sincc clashiral annlj-tir resalts are availalde for thr hwag m d v n uf fl spheroid. ' l l ~ e present numerical resulls can he used in conncrclinn wilh ocean buoy or ocean platform motions hy ahwining lhat the hod) geomcrry i k \ c n cmnll cumpared wi th the warelenyth of rurfacr waves.