Computing Hearing and Pitching Motions 491 
B-08 
WN 2.2 
1.8 
OS OSS 4 
SSS OSS : 
—a ON : 
ZB ANSE 1.0 
wy 7 08 
ASS 
4 
A Tt SSS 
2.2 
1.8 
-0'5 
1.4 
1.2 
1.0 
0.8 
0.6 
=1.0 0.4 
H =0.2 
(e) 0.2 0.4 0.6 0.8 1.0 1.2 1.4 
V-B 
2 
Fig. 4. Heaving motion; plot of force R for B= 0.8 
E = E, + E; which is the force in the vertical direction generated on the body by a sur- 
face wave of amplitude 1. This force is made nondimensional by 5B. In the case of a 
very long wave (w > 0) E necessarily equals 1. For this case the force can be looked 
at as the hydrostatic buoyancy which corresponds to the additionally displaced volume. 
This force has first of all a physical meaning only for the case (b). 
For case (c) there is also plotted 
A ,7/B which is the coefficient of the first term in the formula for the potential in a non- 
dimensional representation. (The diagrams for case (c) are not given here since they 
are published in Ref. 9.) 
All results are plotted against a frequency parameter which includes the beam B, viz., 
B 2B 
3 os . (19) 
In cases (b) and (c) this frequency parameter can also be expressed by the wavelength 
