figure 1 hms victory body plan [3] - eprintseprints.soton.ac.uk/42999/2/trafalgar_figuresv3.pdf ·...
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Figure 1 HMS Victory Body Plan [3]
Figure 2 Coffin diagram for estimating longitudinal weight distribution
-2.50
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
0 10 20 30 40 50 60 70 80 90 100
GZ/ m
HeelA
ng
le/ d
eg
GZ Curve Linear GZ
GMT = 2.202 m
Figure 3 Estimated GZ curve for fully laden HMS Victory
Figure 4 CNC machining of Victory model
y = 11119x4
- 5141.9x3
+ 728.15x2
- 21.485x
-2.00
-1.00
0.00
1.00
2.00
3.00
4.00
5.00
6.00
0.00 0.05 0.10 0.15 0.20 0.25 0.30
FN
CR
x10
-3
Figure 5, 6 Upright fully loaded residuary resistance curve
y = 83.238x + 1
0
1
2
3
4
5
6
7
8
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07Leeway Angle
2(rad
2)
CR
/(C
R,
0 l
ee
wa
y)
Figure 6,7 Influence of leeway angle squared on increase of residuary resistance
y = 1.8188x + 1
0
1
2
3
4
5
6
7
8
9
0 0.5 1 1.5 2 2.5 3 3.5 4
CL2x10
-3
CR
/(C
R,
0 l
ee
wa
y))
Figure 7,8 Variation in CR/CR0 with square of CL at FN = 0.17
y = -200.22x + 31.855
0
5
10
15
20
25
30
35
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08
Leeway Angle (rad2)
Dis
tan
ce t
o C
en
tre o
f Late
ral E
ffo
rt F
orw
ard
fro
m L
CG
(%
L)
Figure 8, 9 Position of Centre of Lateral Resistance Compared to Leeway Angle Squared
y = 9.4935x - 0.9593
-10.000
-8.000
-6.000
-4.000
-2.000
0.000
2.000
4.000
6.000
8.000
-1.000 -0.800 -0.600 -0.400 -0.200 0.000 0.200 0.400 0.600 0.800 1.000
a
CLx
10
-3
Figure 9, 12 Influence of rudder angle on sideforce
y = 88.54x + 9.3286
0
2
4
6
8
10
12
14
16
18
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07
Leeway Angle2/rad
2
dC
/dat
= 0
La
a
Figure 10 Variation in LC α∂ ∂ Over a Range of Leeway Angles
(a) In workshop
(b) Downwind in wind tunnel Figure 11,14 Photographs of model of HMS Victory
y = -0.0013x2
+ 0.1209x - 1.1444
y = -0.0008x2
+ 0.0663x + 0.5674
y = -0.0008x2
+ 0.0936x - 0.6103
0
0.5
1
1.5
2
2.5
3
0 20 40 60 80 100 120
Sail angle of incidence (degrees)
CL
Fore topsail Main topsail Mizzen topsail Poly. (Fore topsail) Poly. (Main topsail) Poly. (Mizzen topsail) Figure 12, 15 Top sail CL vs α
y = -8E-08x3
- 0.0002x2
+ 0.0566x + 0.0793
y = -3E-05x3
+ 0.0031x2
- 0.0643x + 0.7024
y = 5E-06x3
- 0.0012x2
+ 0.1148x - 0.8899
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
0 20 40 60 80 100 120
Sail angle of incidence (deg)
CD
Fore topsail Main topsail Mizzen topsail Poly. (Main topsail) Poly. (Fore topsail) Poly. (Mizzen topsail) Figure 13, 16 Top sail CD vs α
Figure 14, 17 Blender Texture Map of HMS Victory
Rendering
Engine
(Ogre)
Ship Plugin
Fleet
Network
Layer
Sound
EngineAI
GUI
(CEGUI)
Ocean
«uses»
«uses»
«uses»
«uses»
«uses»
«uses»
«uses»
«uses»
«uses»
Figure 15 18 Overall software architecture
Figure 16 Views of Battle of Trafalgar
0
2
4
6
8
10
12
0 100 200 300 400 500 600 700 800
Time (Seconds)
Sp
eed
(kn
ots
)
Figure 17 20 Time Trace of Forward Speed when Heading Downwind
0
5
10
15
20
25
30
35
40
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00
Time (Seconds)
Le
ew
ay
An
gle
(D
eg
ree
s)
Figure 18 21 Time Trace of Leeway when Heading at 150o to the True Wind
0
2
4
6
8
10
12
0
45
90
135
180
225
270
315
Sail Braced Square Sails Braced at 45 Degrees Sails Braced at 15 Degrees
Figure 19 22 Speed Polar Plot for HMS Victory with Yards Set at different angles