Geology Reference
In-Depth Information
Figure 4. Neural networks agreement for the response DIST
RLIM RLIM
=
( .
1
+
COVRL X N
)
(45)
obtained from the corresponding neural networks.
The Beta distribution for each of the damage
indices requires the introduction of an additional
random variable, U 1 , uniformly distributed be-
tween 0 and 1.
The uncertainty in each of the capacities RLIM
is modeled with a normal distribution, introduc-
ing an additional Standard Normal variable X N 3 :
3
A summary of the random variables, with
their distribution types and parameters, is shown
in Table 2. The statistics for the peak ground ac-
celerations a G correspond to the seismicity for
the city of Mendoza, Argentina, as provided by
INPRES (1995).
Table 2. Random variables
σ X
σ X
X
X
Variable
Type
Variable
Type
X (10) = a G
X (1) = m
5.1x10 -4
5.1x10 -5
Normal
94 cm / s 2
130 cm / s 2
Lognormal
X (2) = b b
20 cm
1 cm
Normal
X (11) = f g
2.50 Hz
0.375 Hz Normal
X (12) = σ a G
0.05 X Normal
X (3) = h b
? cm
0
0.25
Normal
X (4) = b c
30 cm
1.5 cm
Normal
X (13) = a G
X (13) = X (10) [1.0+ X (12)]
0.05 X
X (5) = h c
? cm
Normal
X (14) = R N 1
0
1
Normal
X (6) = ρ span
0.10 X Lognormal
?
X (15) = U 1
0
1
Uniform
X (7) = ρ end
0.10 X
?
Lognormal
X (16) = X N 1
0
1
Normal
X (8) = ρ col
0.10 X
?
Lognormal
X (17) = X N 2
0
1
Normal
/ 0
X (9) = f
f
0.10
0.01
Normal
X (18) = X N 3
0
1
Normal
r
 
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