Wave Forces on a Restratned Shtp tn Head-Sea Waves 
(x; y> Z, t) time-dependent part of velocity potential. 
@(x, y, z) see (16) and (17) for zero-speed problem. 
See (60) and (61) for forward-speed pro- 
blem. 
V(x, y, z) see (20) in zero-speed problem. See (66) 
in forward-speed problem. 
- N 
1= 1 2 a 0) @: 0 6 ‘s> 6 © N, y ~ 52; vi 
i= 1 
wave frequency of the incoming wave. 
oF vU 
fe) 
REFERENCES 
ABRAMOWITZ, M., and STEGUN, I.A., ''Handbook of Mathe- 
matical Functions'', National Bureau of Standards Mathematics 
Series, 55, Washington, DC. (1964). 
DETTMAN, John W., ''Applied Complex Variables", The 
Macmillan Company, New York - Collier - Macmillan Ltd, 
London (1965). 
ERDELYI, A., ''Asymptotic Expansions'', Dover Publications, 
Inc., New York (1956). 
FALTINSEN, O., ''Wave Forces ona Restrained Ship in Head- 
Sea Waves", Ph. D. Thesis, The University of Michigan, 
Ann Arbor (1971). 
JONES, D.S., ''Generalized Functions", McGraw-Hill Book 
Co., New York (1966). 
LEE, C.M., ''Heaving Forces and Pitching Moments ona 
Semi-submerged and Restrained Prolate Spheroid Proceeding 
in Regular Head Waves'"', Report No. NA-64-2, Institute of 
Engineering Research, University of California, Berkeley, 
California, (1964). 
1811 
