N on sinusoidal Osoillations of a Cylinder in a Free Surface 



1.2 



1.0 



0.8 



lo: 



I a: 



. 0.6 





0.4 



0.2 



1.0 



1.2 



1.4 



1.6 



1.8 



2.0 X. 



Fig. 4 First- and second-order pressures vs. \ = Vg/^i 

 at e = - 5° for \, = 10b 



for \| = 10b. The radlatlng-wave amplitudes at |x| = 00 are shown 

 in Fig. 9 for \, = 10b. In this figure Y^ is defined by Yg = | Yg | /b = 

 •n-QgO-gAbg) and "Yg^^ and Yg,j are obtained in the following way. We 

 can show from Eq. (79) that 



Y6(x)e 



-j(<r,-<r2)t 



Aj cos JKg|x| - (a, - v^t - qg j 



+ Ag cos } Kg|x I - (o-, - o-pt + Gg { 



- Ysb cos j (K, - K^ |x I - (cr, - (t^X. - (q, - qg) [ 



where 



-Ai = — (o-, - <r5)Q- , 



I "2'"*6 



933 



