Nonsinusoidal Osoitlations of a Cylinder in a Free Surface 



for \, = 20b, 0-2= V7rg/{10bX). 



In Table 1, the values of Sg = f-gb/g and 6g= (cr, - o-g) b/g are given 

 for X = 1.0 (0. 1) 2.0 at each given \,= 2b, 10b, and 20b. Thus 

 the results In the subsequent figures can be referred to appropriate 

 individual dlmenslonless fr equen cies such as bg) 64= 4a2b/g = 462. 

 and 65= 2irg/\|(l + l/X - 2V l/\ once X. and X. are given. 



62 and 5g versus 



TABLE i 



\, at three different values at \| and 6, 



In Figs. 2, 3, and 4 the mciximum hydrodynamic pressures 

 at three points on the cjrlinder, 9 = - 90© , - 45°, and - 5°, are 

 shown as functions of X. for \, = 10b. The maximura pressures 

 |pg| and Ip^I are obtained from Eqs. (58) and (59). The pressures 

 are non-dimensionalized by pgb and are denoted with bar signs 

 e.g. Pg = |pg|/pgb. The values of ^| and_ P3 which are_not shown 

 in these figures are respectively equal to P2 and p^ at_ \ =^ 1.0. 

 The maximum hydrodynamic forces f2 (= Uzl/^Pg^^' ^4' ^6' ^^ 

 Tf which are obtained from Eq. (64) are shown as functions of X. in 

 Figs. 5, 6, and 7 for \, = 2b, 10b, and 20b, respectively. Figure 8 

 shows the phase angles y^, y ^, and \g which are defined by Eq. (65) 



931 



