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Mooring Loads Due to Parallel Passing Ships - State Lands ...

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Modification of PASS-MOOR<br />

In order <strong>to</strong> improve the predictions from PASS-MOOR, the empirical correction<br />

fac<strong>to</strong>rs of Seelig (2001) were re-derived using the data obtained in the present study.<br />

The following results were obtained:<br />

Cx - empirical<br />

30.0<br />

25.0<br />

20.0<br />

15.0<br />

10.0<br />

5.0<br />

0.0<br />

C = 1 + 170 . e e<br />

X<br />

C = 1 + 052 . e e<br />

Y<br />

C = 1 + 048 . e e<br />

M<br />

2<br />

( 2.94( Dd / )) ( −0. 08(( GB / ) −3)<br />

)<br />

2<br />

( 4.33( Dd / )) ( −0. 08(( GB / ) −2)<br />

)<br />

2<br />

( 387 . ( Dd / )) ( −008 . (( GB / ) −2)<br />

)<br />

These are shown graphically in Figure 22. As noted in Equation (4), the experimental<br />

results for Fx- and M- were slightly higher than the corresponding positive values, so the<br />

negative peaks of these parameters and Fy+ were used <strong>to</strong> develop equation (10).<br />

These expressions have the same general form as those by Seelig in equation<br />

(9). Several differences are noted however. First, the new correction for surge force is<br />

a non-linear function of the draft-<strong>to</strong>-depth ratio. Seelig had more limited data and<br />

adopted a linear relationship as there was insufficient data <strong>to</strong> adopt any other<br />

functional form. The corrections for sway force and yaw moment retain the strong nonlinear<br />

dependence on (D/d). Second, because PASS-MOOR generally under-predicts<br />

the surge and sway force, the new corrections are larger in order <strong>to</strong> eliminate this bias.<br />

Third, while Seelig found the same correction for sway force and yaw moment, the new<br />

data suggests less correction is needed for the yaw moment than for sway force.<br />

Predictions carried out using PASS-MOOR with the revised coefficients are<br />

shown in<br />

Figure 23.<br />

0.0 2.0 4.0 6.0 8.0 10.0<br />

G/B<br />

D/d=0.90<br />

D/d=0.82<br />

D/d=0.76<br />

D/d=0.44<br />

D/d=0.26<br />

Figure 22a. Surge force correction fac<strong>to</strong>r for PASS-MOOR from equation (10)<br />

NFESC TR-6056-OCN<br />

32<br />

(10)

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