Dynamics of Submerged Towed Cylinders 



The calcxilation procedure was as follows: (a) a set of values 

 of f,, fg, ec^t €Cjf c,, Cg, Xi» X2 ^^^ -^ were selected; (b) the 

 complex frequencies of a few of the lowest modes of the system were 

 traced as functions oi u, starting with u = 0. 



J.6 o 



(»2 

 ZEROETH MODE 



■•■ 0.9 



<»0.S 



Im (u ) C 



TO.S 



) 3.646 

 ( > 3.64 



3.60 

 I.S 



Re(w)=0 



1 2 3 4 5 



Re(u) 



Fig. 3 The dimensionless complex frequencies of the zeroth and 

 first modes of a flexible cylinder with ec,^ = ec^ = 1 » 

 f, = f2= 1 , c, = Cg = 0, A = 1, X, = X2 = 0»01 » as a function 

 of the dimiensionless towing speed u, (Theory of [ 26]), 



991 



