Table 2.1 



Reduced Velocity Vr = V/f„D at the Peak Cross Flow 



Displacement Amplitude Due to Vortex Shedding 



Type of 



Medium 



Investigators 



K= ^ 



Structure 







A* 



Air 



Griffin, Skop and 

 Koopmann (1973) 



6.1-6.3 



A 



Air 



Parkinson, Feng and 

 Ferguson (1966) 



6.1 



A 



Air 



Glass (1969) 



5.9 



A 



Water 



Glass (1970) 



8.0 



A 



Air 



Koopmann (1970) 



6.7 



A 



Air 



Nakamura (1977) 



5.0 



B 



Water 



King, Prosser and 

 Johns (1973) 



6.0-7.5 



C 



Air 



MeiandCurrie (1969) 



6.1 



D 



Water 



Dale, Menzel and 

 McCandless (1966) 



5.8-6.6 



E 



Water 



Cohen (1975) 



5.8 



F 



Water 



Dean, Milligan and Wootton (1977) 



6.0 



A— Elastically-mounted rigid circular cylinder. 



B— Flexible cantilever circular cylinder. 



C— Pivoted rigid circular cylinder. 



D— Flexible hydrophone cable. 



E— Flexible cable with steel rod core. 



F— Flexible cylinder, clamped-clamped ends. 



(8 is the logarithmic decrement of the cable's structural damping, i.e. 8 = 2vCs when the damping is 

 small). The importance of the. reduced damping follows directly from an energy balance on the vibrat- 

 ing cylinder or cable at resonance. Moreover, the relation between Y^ax and ks or Cs^f^ is valid for 

 flexible cylindrical structures with normal modes i//,(z), for vibrations in the rth mode; z is the spanwise 

 coordinate. The local cross flow displacement is then 



y, = Y \\)j (z) sin (ot 

 at each z, and the maximum displacement amplitude is scaled by the factor 



