5.2.1 General, definitions
The damage assumptions for the probabilistic oil outflow
analysis are given in terms of the damage density distribution functions
specified in paragraphs 5.2.2 and 5.2.3. These functions are so scaled
that the total probability for each damage parameter equals 100% (i.e.
the area under each curve equals 1.0).
The location of a damage refers always to the centre of
a damage. Damage location and extent to an inner horizontal bottom
or vertical bulkhead should be assumed to be the same as the statistically
derived damage to the outer hull.
The location and extent of damage to compartment boundaries
should be assumed to be of rectangular shape, following the hull surface
in the extents defined in paragraphs 5.2.2 and 5.2.3.
The following definitions apply for the purpose of paragraphs
5.2.2 and 5.2.3.
|
x
|
= |
dimensionless
distance from A.P. relative to the ship's length between perpendiculars |
|
y
|
= |
dimensionless
longitudinal extent of damage relative to the ship's length between
perpendiculars |
|
z
t
|
= |
dimensionless transverse penetration extent relative to the
ship's breadth |
|
z
v
|
= |
dimensionless vertical penetration extent relative to the ship's
depth |
|
z
l
|
= |
dimensionless vertical distance between the baseline and the
centre of the vertical extent z
v relative
to the distance between baseline and deck level (normally the ship's
depth)
|
|
b
|
= |
dimensionless
transverse extent to bottom damage relative to the ship's breadth |
|
bl
|
= |
dimensionless transverse location of bottom damage relative
to the ship's breadth |
5.2.2 Side damage due to collision
Function for longitudinal location:
|
f
S1 = 1.0
|
for 0 ≤ x ≤
0.1;
|
Function for longitudinal extent:
|
f
S2 = 11.95 – 84.5y
|
for y ≤ 0.1
|
|
f
S2 = 6.65 – 31.5y
|
for 0.1 < y ≤ 0.2
|
|
f
S2 = 0.35
|
for 0.2 < y ≤ 0.3;
|
Function for transverse penetration:
|
f
S3 = 24.96 – 399.2zt
|
for z
t ≤ 0.05
|
|
f
S3 = 9.44 – 88.8zt
|
for 0.05 < z
t ≤ 0.1
|
|
f
S3 = 0.56
|
for 0.1 < z
t ≤ 0.3;
|
Function for vertical extent:
|
f
S4 = 3.83 – 11.1z
v
|
for z
v ≤ 0.3
|
|
f
S4 = 0.5
|
for z
v > 0.3
|
Function for vertical location:
|
f
S5 = z
l
|
for z
l ≤ 0.25
|
|
f
S5 = 5z
l - 1.0
|
for 0.25 < z
l ≤ 0.5
|
|
f
S5 = 1.50
|
for 0.5 < z
l ≤ 1.0
|
Graphs of the functions f
S1, f
S2, f
S3, f
S4 and f
S5 are shone in figures 1 and 2.
5.2.3 Bottom damage due to stranding
Function for longitudinal location:
|
f
b1 = 0.2 + 0.8x
|
for x ≤ 0.5
|
|
f
b1 = 4x – 1.4
|
for 0.5 < x ≤ 1.0;
|
Function for longitudinal extent:
|
f
b2 = 4.5 – 13.33y
|
for y ≤ 0.3
|
|
f
b2 = 0.5
|
for 0.3 < y ≤ 0.8;
|
Function for vertical penetration:
|
f
b3 = 14.5 – 134z
v
|
for z
v ≤ 0.1
|
|
f
b3 = 1.1
|
for 0.1 < z
v ≤ 0.3;
|
Function for transverse extent:
|
f
b4 = 4.0 – 12b
|
for b ≤ 0.3
|
|
f
b4 = 0.4
|
for 0.3 < b ≤ 0.9
|
|
f
b4 = 12b – 10.4
|
for b > 0.9;
|
Function for transverse location:
|
f
b5 = 1.0
|
for 0 ≤ b
1 ≤ 1.0.
|
Graphs of the functions f
b1, f
b2, f
b3, f
b4 and f
b5 are shone in figures 3 and 4.