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ssc-367 - Ship Structure Committee

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frequency (i.e. fc = fn = fv), member stiffness and mass may be<br />

modified. The maximum amplitude of oscil1ation for the critical<br />

velocity is an important variable, directly affecting the stress<br />

amplitudes. The maximum amplitude of oscillation of a member<br />

depends on member support conditions and the Ks value, reaching a<br />

value approximately equal to member diameter for simply supported<br />

boundary conditiens. To prevent the lock-in effect, it is desirable<br />

to keep the member natural frequenciesto less than 70%or more than<br />

130% of the vortex shedding frequency, whenever practical.<br />

8.2<br />

ANALYSES AND DESIGN FOR VORTEX SHEDDING<br />

The interactivenature of the vortices shed and the vibration of the<br />

cylinder makes analytical prediction of response to vortex induced<br />

vibration (VIV) extremely difficult. Empirical formulations<br />

(References 8.5, 8.6 and 8.7) have been developed to reflect the<br />

state-of-the-artwith respect to VIV technology. These empirical<br />

approaches incorporate various parameters and are based on the<br />

comparison of specificparametricvalues with experimental results.<br />

Empirical formulations can be effective y used to avoid VIV, but<br />

they are less reliable at predicting the occurrence of VIV and<br />

determining the response amplitudes.<br />

8.2.1<br />

Suscelltibilityto Vortex Sheddinq<br />

Cylindrical members may experience either in-line or cross flow<br />

oscillations for a range of flow velocity and member response<br />

characteristicratios. To define susceptibilityof a member to VIV,<br />

a reduced velocity (Vr) term is introduced:<br />

v<br />

vr=—<br />

fnd<br />

where:

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