Civil Engineering Reference
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Table 5.3
Reliability analysis of the satellite structure
No. of
Iteration
Beta
Performance
function
2.977 (10
-1
)
1
2.9316
The probability of failure = 1-
normcdf(2.4189) = 7.7838 (10
-3
)
-1.2469 (10
-1
)
2
2.4555
-8.3486 (10
-3
)
3
2.4184
3.8566 (10
-5
)
4
2.4189
Fig. 5.4
Satellite structure modeled as 3-D beam elements with 6 real constants [
11
]
5.7 Test Case-2
The same satellite structure used in Test Case-1 is used here. The reliability
analysis is performed on the whole satellite structure (Fig.
5.4
) and not only on the
base plate. Probability of failure is evaluated using the following performance
function
g
ð
x
1
;
x
2
;
...
;
x
n
Þ¼
1
r
r
y
r
y
¼
150 MPa
Similar to Test Case-1, the number of real constants used = 6;
• Real_Constants(1,1:7) = [25 0.05 15 0.05 1 1 0]; Base Plate
• Real_Constants(2,1:7) = [20 0.05 12 0.05 1 1 0]; Lower Frame
• Real_Constants(3,1:7) = [15 0.05 10 0.05 1 1 0]; Basis Plate
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