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ssc-367 - Ship Structure Committee

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0.4.1 In-LineVortex Sheddinq Amplitudes<br />

The reduced velocity and the amplitude of vibrations shown on Figures<br />

D-1 and D-2, respectively, as functions of stability parameter are<br />

based on experimental data. The experimental data obtained are for<br />

the cantilever mode of deflection for in-line and cross-flow<br />

vibrations.<br />

Sarpkaya (Reference D.1O) carried out tests on both oscillatory flow<br />

and uniform flow and observed smaller amplitudes of vibration for the<br />

oscillatory flow than for the uniform flow. It is also suggested by<br />

King (Reference 0.1) that the maximum amplitude for an oscillatory<br />

flow is likely to occur at a Vr value in excess of 1.5 (as opposed to<br />

1.0 assumed by DnV) and that an oscillation build-up of about 15<br />

cycles is required before “lock-in” maximum-amplitude vibration<br />

occurs. In light of this evidence, the amplitude of vibrations shown<br />

in Figure D-2 is based on Hallam et al (Reference D.2) rather than<br />

the DnV (ReferenceD.8).<br />

Since typical marine structure members have stability parameters (Ks)<br />

in excess of 1.8, in-line vibrations of these members in air are<br />

unlikely.<br />

D.4.2<br />

Cross-flow Vortex Shedding Amplitudes<br />

The amplitude of the induced vibrations that accompanies cross-flow<br />

vibration are generally large and creates very high stresses.<br />

Therefore, it is desirable to preclude cross-flow induced<br />

vibrations. Figure D-4 illustrates a curve defining the amplitude of<br />

response for cross-flow vibrations due to current flow and based on a<br />

cantilevermode of deflection.<br />

Cross-flowoscillations in air may not be always avoidable, requiring<br />

the members to have sufficient resistance. The DnV procedure<br />

(Reference 0.8) to determine the oscillation amplitudes is derived<br />

from a simplified approach applicable to vortex shedding due to<br />

D-lo

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