Table 3 shows the analyzed results of stationary hydrodynamic-force characteristic constants in the component-type mathematical maneuvering model that occurred in the PMM tests and the stationary straight-line and circular tests. The analyzed results of the quasi-stationary hydrodynamic forces that occurred in the PMM test are shown in Figs. 4~7, which contain the extrapolated results by means of the characteristic constants that occur in the component-type mathematical maneuvering model.
Analysis and extrapolation of pure-sway forces;
In Fig. 4, both the analyzed results (symbol: solid line) of quasi-stationary hydrodynamic forces (symbol:・) in harmonic pure-sway motion and the results predicted (symbol: dotted line) by the extrapolation are shown. These analyzed and predicted results agree well with the results (symbol: ○) of the stationary straight-line tests.
Analysis and extrapolation of pure-yaw forces;
In Fig. 5, using the analyzed results of pure-sway motion (Fig. 3), both the analyzed results (symbol: solid line) of quasi-stationary hydrodynamic forces (symbol: ・) in harmonic pure-yaw motion, and the results predicted (symbol: dotted line) by the extrapolation are shown. These analyzed and predicted results agree well with the results (symbol: ○) of stationary circular tests.
Analysis and extrapolation of combined forces;
In Fig. 6(a), the analyzed results of quasi-stationary hydrodynamic forces (symbol: ・) in harmonic combined motion show the stationary hydrodynamic forces both calculated (symbol: solid line ) and predicted (symbol: dotted line) for the stationary straight-line tests. In Fig. 6(b) the analyzed results in harmonic combined motion show the stationary hydrodynamic forces both calculated (symbol: solid line) and predicted (symbol: dotted line) for the stationary circular tests. These analyzed and predicted results agree well with the results of the stationary straight-line and circular tests other than YH force in pure-yaw motion, including little effect of yaw rate in combined motion.
Table 3 Hydrodynamic characteristic constants in PMM and stationary tests of an arc-type ship
characteristic
constants |
PMM Test |
Stationary
Tow-Test |
PSM |
PYM |
CM |
CA |
C'Lf |
0.309 |
0.309 |
0.345 |
0.309 |
0.354 |
C'La |
0.539 |
0.539 |
0.476 |
0.539 |
0.566 |
CDLC・CC2 |
1.351 |
1.351 |
1.759 |
1.239 |
1.088 |
p |
1.181 |
1.181 |
0.284 |
0.720 |
0.617 |
CDLf |
0.000 |
0.000 |
0.002 |
0.000 |
0.038 |
CDLfc・C'c |
0.000 |
0.000 |
0.000 |
0.292 |
0.107 |
CF |
0.048 |
0.048 |
0.062 |
0.048 |
0.044 |
CDLm・C'c |
0.971 |
0.971 |
0.929 |
0.854 |
0.843 |
df/dm・CLasf
-da/dm・CLasa |
|
|
-0.018 |
0.000 |
-0.009 |
df/dm・CLasf
+da/dm・CLasa |
|
|
0.018 |
0.000 |
-0.121 |
Cev |
|
0.348 |
0.357 |
0.348 |
0.424 |
αL |
|
1.346 |
1.000 |
1.346 |
1.668 |
Cevc |
|
0.200 |
0.200 |
0.200 |
0.505 |
αC |
|
8.000 |
8.000 |
8.000 |
3.901 |
|
|