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ssc-367 - Ship Structure Committee

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vortex shedding will occur, i.e., Vmin = ‘r(req’d) x ‘n x ‘-<br />

e.<br />

Check the applied velocity profile to see if Vmax is greater<br />

than Vmin. If Vmax is less than Vmin, then no vortex<br />

oscillations can occur.<br />

f.<br />

For Vmax greater than Vmin, vortex oscillations can occur. The<br />

displacement amplitude is based on stability parameter Ks, and<br />

is determined from Figure O-2 for in-line vibration. A<br />

conservative approach is used to determine Y/d vs Ks. For Ks <<br />

0.6 the first instability region curve is used. For Ks > 0.6<br />

the second instability region curve is used. This<br />

conservatively represents an envelope of maximum values of Y/d<br />

vs Ks from Figure O-2. Displacement amplitude is normalized to<br />

Y/d.<br />

9*<br />

Given (Y/d), calculate the bending stress, fb.<br />

h.<br />

Multiply bending stress fb by an SCF of 1.S to produce hOt SpOt<br />

stress fH. A larger<br />

SCF will be used where necessary.<br />

i.<br />

From the maximum hot spot stress, the hot spot stress range is<br />

calculated as 2fH.<br />

j.<br />

Allowable number of cycles to failure (N) should be calculated<br />

using an applicable S-N curve (based on weld type and<br />

environment).<br />

k.<br />

Assume conditions conducive to resonant vortex shedding occur<br />

for a total time of T (seconds) per annum (based on current or<br />

wind data relevant to applicable loading condition).<br />

1.<br />

Hence, in time T, number of cycles n = fnT and the cumulative<br />

damage D1 = n/N = fnT/N in one year.<br />

Step 2:<br />

D-15

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