Automation of Aircraft Fatigue Life Estimation
| 28 nov. 2023
Article Category: research article
Publié en ligne: 28 nov. 2023
Pages: 83 - 103
© 2022 Stanisław Gajek, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Figure 3.1.
Example of logged data before [Frame 1] and after [Frame 2] normalization.Figure 3.2.
Example of logged data after transformation to load levels.Figure 3.3.
Block flow diagram of extreme values filter.Figure 3.4.
Example of extreme values filtration results.Figure 3.5.
Block flow diagram of the Rainflow Cycle Counting method.Figure 3.6.
Example of stream generation in the Rainflow Cycle Counting method.Figure 3.7.
Approximation process of the number of cycles N for uncharacteristic argument.Figure 4.1.
First test zone of EVF.Figure 4.2.
Second test zone of EVF.Figure 4.3.
Third test zone of EVF.Figure 4.4.
First test zone of generated streams.Figure 4.5.
Second test zone of generated streams.Figure 4.6.
Third test zone of generated streams.Figure 4.7.
Global view on third test zone of generated streams.Figure 5.1.
Visualization of filtered load levels in function of time.Figure 5.2.
Even RCC streams.Figure 5.2.
Odd RCC streams.Example of telemetry log used in calculations
Date |
Time |
Hdg(@) |
Ptch |
Roll |
AccX(g) |
RSSI(dB) |
AccY(g) |
AccZ(g) |
2021-10-10 |
16:27:29.650 |
178.60 |
65.6 |
-17.0 |
-0.06 |
82 |
-0.02 |
0.05 |
2021-10-10 |
16:27:29.850 |
178.60 |
65.6 |
-17.0 |
-0.06 |
87 |
-0.02 |
0.05 |
2021-10-10 |
16:27:30.050 |
186.60 |
49.7 |
0.5 |
-0.09 |
70 |
-0.02 |
0.05 |
2021-10-10 |
16:27:30.250 |
186.60 |
49.7 |
0.5 |
-0.09 |
70 |
-0.09 |
0.14 |
2021-10-10 |
16:27:30.450 |
202.10 |
49.7 |
0.5 |
-0.09 |
80 |
-0.09 |
0.14 |
2021-10-10 |
16:27:30.650 |
202.10 |
28.9 |
8.5 |
-0.07 |
85 |
-0.11 |
0.21 |
2021-10-10 |
16:27:30.850 |
202.10 |
28.9 |
8.5 |
-0.07 |
85 |
-0.11 |
0.21 |
2021-10-10 |
16:27:31.050 |
233.70 |
23.1 |
28.5 |
-0.02 |
90 |
-0.08 |
0.19 |
2021-10-10 |
16:27:31.250 |
233.70 |
23.1 |
28.5 |
-0.02 |
90 |
-0.08 |
0.19 |
2021-10-10 |
16:27:31.450 |
273.10 |
40.2 |
28.5 |
-0.02 |
87 |
-0.08 |
0.19 |
2021-10-10 |
16:27:31.650 |
273.10 |
40.2 |
44.1 |
0.00 |
87 |
-0.03 |
0.17 |
2021-10-10 |
16:27:31.850 |
273.10 |
40.2 |
44.1 |
0.00 |
80 |
-0.03 |
0.17 |
2021-10-10 |
16:27:32.050 |
295.70 |
54.7 |
41.5 |
0.00 |
87 |
-0.01 |
0.09 |
2021-10-10 |
16:27:32.250 |
295.70 |
54.7 |
41.5 |
0.00 |
87 |
-0.01 |
0.09 |
2021-10-10 |
16:27:32.450 |
328.70 |
59.7 |
34.9 |
0.00 |
90 |
-0.01 |
0.09 |
Active zone of matrix.
LL |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
27 |
1,456 |
0 |
1,199 |
0 |
0,942 |
0,814 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
26 |
0 |
1,456 |
0 |
0 |
0 |
0,942 |
0,814 |
0,685 |
0 |
0 |
0 |
0,171 |
0 |
0 |
-0,214 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
25 |
0 |
0 |
0 |
1,327 |
0 |
1,071 |
0 |
0 |
0,685 |
0,557 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-0,471 |
0 |
0 |
0 |
0 |
0 |
24 |
0 |
1,713 |
0 |
1,456 |
1,327 |
1,199 |
1,071 |
0 |
0,814 |
0,685 |
0,557 |
0 |
0,300 |
0 |
0 |
0 |
0 |
0 |
-0,471 |
0 |
0 |
0 |
0 |
23 |
0 |
0 |
0 |
1,584 |
1,456 |
0 |
1,199 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0 |
0 |
0 |
0,043 |
0 |
0 |
0 |
0 |
-0,599 |
-0,728 |
0 |
22 |
0 |
0 |
0 |
0 |
0 |
1,456 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0,428 |
0,300 |
0,171 |
0,043 |
0 |
-0,214 |
-0,343 |
0 |
0 |
0 |
21 |
0 |
0 |
0 |
0 |
1,713 |
0 |
1,456 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0,428 |
0,300 |
0 |
0,043 |
-0,086 |
0 |
0 |
0 |
0 |
20 |
0 |
0 |
0 |
0 |
1,841 |
0 |
0 |
1,456 |
0 |
0 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0 |
0,300 |
0,171 |
0,043 |
0 |
-0,214 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
0 |
1,841 |
1,713 |
1,584 |
1,456 |
0 |
1,199 |
1,071 |
0,942 |
0,814 |
0 |
0,557 |
0,428 |
0,300 |
0 |
0 |
0 |
-0,214 |
0 |
18 |
0 |
0 |
0 |
0 |
0 |
1,970 |
0 |
0 |
0 |
0 |
1.327 |
1,199 |
1,071 |
0 |
0.814 |
0.685 |
0,557 |
0,428 |
0,300 |
0 |
0 |
0 |
0 |
17 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0,428 |
0,300 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0,428 |
0,300 |
0 |
0 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,456 |
1,327 |
1,199 |
1,071 |
0,942 |
0,814 |
0,685 |
0,557 |
0 |
0,300 |
0 |
14 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
0 |
0,557 |
0 |
0 |
13 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
0,685 |
0 |
0 |
12 |
0 |
0 |
3,126 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
1,199 |
0 |
0,942 |
0,814 |
0 |
0 |
11 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2,612 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
0 |
10 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
0 |
1,071 |
0,942 |
0,814 |
9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,456 |
0 |
1,199 |
0 |
0,942 |
8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,584 |
0 |
1,327 |
0 |
0 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,327 |
1,199 |
6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,713 |
0 |
0 |
0 |
5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,713 |
0 |
0 |
Active zone of generated half-cycle array [T].
LL |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
25 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
24 |
0 |
0 |
1 |
0 |
2 |
0 |
2 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
23 |
0 |
1 |
0 |
1 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
0 |
1 |
0 |
22 |
0 |
0 |
0 |
1 |
2 |
2 |
1 |
3 |
0 |
4 |
2 |
1 |
0 |
1 |
0 |
0 |
3 |
0 |
2 |
1 |
0 |
21 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
3 |
5 |
7 |
2 |
1 |
2 |
1 |
1 |
2 |
0 |
3 |
0 |
1 |
0 |
20 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
0 |
3 |
8 |
10 |
8 |
13 |
10 |
5 |
0 |
2 |
0 |
0 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
3 |
5 |
10 |
30 |
53 |
0 |
5 |
1 |
0 |
0 |
0 |
0 |
18 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
2 |
0 |
7 |
29 |
0 |
52 |
10 |
1 |
1 |
0 |
1 |
0 |
17 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
3 |
3 |
8 |
0 |
29 |
31 |
12 |
3 |
0 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
8 |
7 |
10 |
8 |
1 |
1 |
0 |
0 |
0 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
3 |
0 |
5 |
11 |
2 |
1 |
1 |
1 |
0 |
14 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
3 |
2 |
3 |
8 |
7 |
4 |
1 |
1 |
0 |
13 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
3 |
5 |
0 |
1 |
0 |
0 |
12 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
2 |
3 |
2 |
1 |
0 |
11 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
1 |
1 |
0 |
2 |
0 |
10 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
2 |
0 |
0 |
9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
3 |
0 |
2 |
2 |
8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
Active zone of the fatigue level matrix [D].
LL |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
25 |
0.000198 |
0 |
0,000103 |
7.17E-05 |
4,86E-05 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
24 |
0 |
0 |
0,000101 |
0 |
9.35E-05 |
0 |
3,79E-05 |
1,14E-05 |
0 |
3,53E-06 |
1,79E-06 |
0 |
0 |
1,33E-07 |
0 |
0 |
1,76E-09 |
1,54E-10 |
2,75E-12 |
0 |
0 |
23 |
0 |
0,000143 |
0 |
6,82E-05 |
8.99E-05 |
5,73E-05 |
0 |
1,03E-05 |
5,69E-06 |
2,96E-06 |
1,43E-06 |
0 |
0 |
0 |
0 |
0 |
0 |
1,58E-11 |
0 |
2,75E-12 |
0 |
22 |
0 |
0 |
0 |
6,67E-05 |
8,56E-05 |
5,41E-05 |
1,62E-05 |
2,76E-05 |
0 |
9,76E-06 |
2,21E-06 |
4,46E-07 |
0 |
4,26E-08 |
0 |
0 |
6,82E-11 |
0 |
1,58E-11 |
1,54E-10 |
0 |
21 |
0 |
0 |
0 |
6,55E-05 |
0 |
0 |
1.48E-05 |
2.44E-05 |
2.08E-05 |
1,37E-05 |
1,64E-06 |
2,96E-07 |
1,73E-07 |
1,83E-08 |
2,17E-09 |
1.31E-10 |
0 |
6.82E-11 |
0 |
1,76E-09 |
0 |
20 |
0 |
0 |
0 |
0 |
0 |
0 |
2,70E-05 |
0 |
1,03F-05 |
1,20F-05 |
5,68F-06 |
1,41F-06 |
5,19F-07 |
5,25F-08 |
9,37F-10 |
0 |
1,31E-10 |
0 |
0 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
6,09E-06 |
0 |
3,27E-06 |
1,79E-06 |
8,72E-07 |
3,80E-07 |
2,85E-08 |
0 |
9.37E-10 |
2.17E-09 |
0 |
0 |
0 |
0 |
18 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2,10E 06 |
l,45E06 |
0 |
2,14E07 |
4,49E 08 |
0 |
2,80E08 |
5,25E08 |
1,83E08 |
4,26E08 |
0 |
l,33E07 |
0 |
17 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,47E-06 |
1,25E-06 |
2,22E-07 |
3,55E-08 |
0 |
4,49E-08 |
3,93E-07 |
4,79E-07 |
2,60E-07 |
0 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,28E-08 |
0 |
3,55E-08 |
2,14E-07 |
8,72E-07 |
1,41E-06 |
2,96E-07 |
4,46E-07 |
0 |
0 |
0 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,28E-08 |
2,22E-07 |
0 |
1,79E-06 |
6,25E-06 |
1,64E-06 |
1,11-06 |
1,43E-06 |
1,79E-06 |
0 |
14 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,05E-07 |
0 |
0 |
0 |
1,25E-06 |
1,45E-06 |
3,27E-06 |
1,20E-05 |
1,37E-05 |
9,76E-06 |
2,96E-06 |
3,53E-06 |
0 |
13 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,05E-07 |
0 |
0 |
1,47E-06 |
2,10E-06 |
0 |
1,03E-05 |
2,08E-05 |
0 |
5,69E-06 |
0 |
0 |
12 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
6,09E-06 |
0 |
1,63E-05 |
2,76E-05 |
2,05E-05 |
1,14E-05 |
0 |
11 |
0 |
0 |
0 |
0 |
0 |
2,49E-06 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2,70E-05 |
1,48E-05 |
1,62E-05 |
0 |
3,79E-05 |
0 |
10 |
0 |
0 |
0 |
0 |
0 |
0 |
2,49E-06 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
5,41E-05 |
5.73E-05 |
0 |
0 |
9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,000130 |
0 |
9,35E-05 |
9.73E-05 |
8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
06,55E-05 |
6,67E-05 |
6,82E-05 |
0 |
7,71E-05 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0.000101 |
0.000103 |
6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0.000143 |
0 |
0 |
5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0.000200 |
0 |
0 |
Active zone of [na] matrix.
LL |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
la |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
27 |
2.826 |
0 |
2,569 |
0 |
2,312 |
2,184 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
26 |
0 |
2,569 |
0 |
0 |
0 |
2,055 |
1,927 |
1,798 |
0 |
0 |
0 |
1,285 |
0 |
0 |
0,899 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
25 |
0 |
0 |
0 |
2,184 |
0 |
1,927 |
0 |
0 |
1,542 |
1,413 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,385 |
0 |
0 |
0 |
0 |
0 |
24 |
0 |
2,312 |
0 |
2,055 |
1,927 |
1,798 |
1,670 |
0 |
1,413 |
1,285 |
1,156 |
0 |
0,899 |
0 |
0 |
0 |
0 |
0 |
0,128 |
0 |
0 |
0 |
0 |
23 |
0 |
0 |
0 |
1,927 |
1,798 |
0 |
1,542 |
1,413 |
1,285 |
1,156 |
1,028 |
0,899 |
0 |
0 |
0 |
0,385 |
0 |
0 |
0 |
0 |
0,257 |
0,385 |
0 |
22 |
0 |
0 |
0 |
0 |
0 |
1,542 |
1,413 |
0 |
1,156 |
1,028 |
0,899 |
0,771 |
0,642 |
0,514 |
0,385 |
0,257 |
0,128 |
0 |
0,128 |
0,257 |
0 |
0 |
0 |
21 |
0 |
0 |
0 |
0 |
1,542 |
0 |
1,285 |
1,156 |
0 |
0,899 |
0,771 |
0,642 |
0,514 |
0,385 |
0,257 |
0,128 |
0 |
0,128 |
0,257 |
0 |
0 |
0 |
0 |
20 |
0 |
0 |
0 |
0 |
1,413 |
0 |
0 |
1,028 |
0 |
0 |
0,642 |
0,514 |
0,385 |
0,257 |
0,128 |
0 |
0,128 |
0,257 |
0,385 |
0 |
0,642 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
0 |
1,156 |
1,028 |
0,899 |
0,771 |
0 |
0,514 |
0,385 |
0,257 |
0,128 |
0 |
0,128 |
0,257 |
0,385 |
0 |
0 |
0 |
0,899 |
0 |
18 |
0 |
0 |
0 |
0 |
0 |
1,028 |
0 |
0 |
0 |
0 |
0,385 |
0,257 |
0,128 |
0 |
0,128 |
0,257 |
0,385 |
0,514 |
0.642 |
0 |
0 |
0 |
0 |
17 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,128 |
0 |
0,128 |
0,257 |
0,385 |
0,514 |
0,642 |
0,771 |
0,899 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,385 |
0,514 |
0,642 |
0,771 |
0,899 |
1,028 |
1,156 |
0 |
0 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,257 |
0,385 |
0,514 |
0,642 |
0,771 |
0,899 |
1,028 |
1,156 |
0 |
1,413 |
0 |
14 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,642 |
0 |
0,899 |
1,028 |
1,156 |
0 |
1,413 |
0 |
0 |
13 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,899 |
0 |
1,156 |
1,285 |
1,413 |
1,542 |
0 |
0 |
12 |
0 |
0 |
0,642 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,156 |
1,285 |
0 |
1,542 |
1,670 |
0 |
0 |
11 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0,128 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,413 |
0 |
1,670 |
1,798 |
1,927 |
0 |
10 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,670 |
0 |
1,927 |
2,055 |
2,184 |
9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,798 |
0 |
2,055 |
0 |
2,312 |
8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,927 |
0 |
2,184 |
0 |
0 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2,441 |
2,569 |
6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2,312 |
0 |
0 |
0 |
5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2,569 |
0 |
0 |
Active zone of [N] matrix
11 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
27 |
5016 |
0 |
9323 |
0 |
18880 |
27888 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
26 |
0 |
6867 |
0 |
0 |
0 |
29520 |
45552 |
72734 |
0 |
0 |
0 |
739650 |
0 |
0 |
8777566 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
25 |
0 |
0 |
0 |
13948 |
0 |
31222 |
0 |
0 |
135688 |
242254 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1238567291 |
0 |
0 |
0 |
0 |
0 |
24 |
0 |
6971 |
0 |
14323 |
21400 |
33011 |
52788 |
0 |
153650 |
283687 |
559374 |
0 |
2816397 |
0 |
0 |
0 |
0 |
0 |
363061881753 |
0 |
0 |
0 |
0 |
23 |
0 |
0 |
0 |
14668 |
22239 |
0 |
57012 |
97452 |
175690 |
337414 |
699601 |
1595342 |
0 |
0 |
0 |
260105776 |
0 |
0 |
0 |
0 |
15664059809 |
2702740887 |
0 |
22 |
0 |
0 |
0 |
0 |
0 |
36956 |
61809 |
0 |
203528 |
409747 |
903678 |
2239961 |
6489824 |
23452051 |
119196963 |
1112010656 |
44006761878 |
0 |
126400861458 |
6485934196 |
0 |
0 |
0 |
21 |
0 |
0 |
0 |
0 |
23955 |
0 |
67384 |
122768 |
0 |
511886 |
1220828 |
3379409 |
11549092 |
54623608 |
460444357 |
15321059277 |
0 |
44006761878 |
2685596385 |
0 |
0 |
0 |
0 |
20 |
0 |
0 |
0 |
0 |
24864 |
0 |
0 |
140556 |
0 |
0 |
1759740 |
5687415 |
25032002 |
190653754 |
5334063388 |
0 |
15321059277 |
1112010656 |
260105776 |
0 |
45963108 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
0 |
44669 |
82322 |
164245 |
362646 |
0 |
2800799 |
11471251 |
78942989 |
1857066911 |
0 |
5334063388 |
460444357 |
119196963 |
0 |
0 |
0 |
8777566 |
0 |
18 |
0 |
0 |
0 |
0 |
0 |
48215 |
0 |
0 |
0 |
0 |
5256855 |
32687505 |
646542282 |
0 |
1857066911 |
190653754 |
54623608 |
23452051 |
12463071 |
0 |
0 |
0 |
0 |
17 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
225095240 |
0 |
646542282 |
78942989 |
25032002 |
11549092 |
6489824 |
4109855 |
2816397 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
11471251 |
5687415 |
3379409 |
2239961 |
1595342 |
1194495 |
927346 |
0 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
13534742 |
5256855 |
2800799 |
1759740 |
1220828 |
903678 |
699601 |
559374 |
0 |
381954 |
0 |
14 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
916340 |
0 |
511886 |
409747 |
337414 |
0 |
242254 |
0 |
0 |
13 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
289957 |
0 |
203528 |
175690 |
153650 |
135688 |
0 |
0 |
12 |
0 |
0 |
9513 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
122768 |
108806 |
0 |
87954 |
79823 |
0 |
0 |
11 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1151365 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
61809 |
0 |
52788 |
49000 |
45552 |
0 |
10 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
34910 |
0 |
31222 |
29520 |
27888 |
9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
22239 |
0 |
20563 |
0 |
18880 |
8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
14668 |
0 |
13948 |
0 |
0 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
9535 |
9323 |
6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
6971 |
0 |
0 |
0 |
5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
j |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
5058 |
0 |
0 |
Material fatigue characteristics of aluminum used in analyzed component.
σm |
lg(N) |
(lg(σa) |
0 |
3,3 |
2,2551 |
0 |
7 |
1,4699 |
34 |
3,3 |
2,1954 |
34 |
7 |
1,228 |
69 |
3,3 |
2,1138 |
69 |
7 |
1,1087 |
103 |
3,3 |
2,0761 |
103 |
7 |
1,0333 |
138 |
3,3 |
2,0384 |
138 |
7 |
0,9516 |
207 |
3,3 |
1,9913 |
207 |
7 |
0,8323 |
Example of active zone in half-cycle array.
LL |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
25 |
1 |
0 |
2 |
0 |
2 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
x |
0 |
24 |
0 |
1 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
x |
1 |
0 |
23 |
0 |
1 |
2 |
2 |
1 |
3 |
0 |
4 |
2 |
1 |
0 |
1 |
0 |
0 |
3 |
x |
2 |
1 |
0 |
22 |
0 |
1 |
0 |
0 |
1 |
3 |
5 |
7 |
2 |
1 |
2 |
1 |
1 |
2 |
x |
3 |
0 |
1 |
0 |
21 |
0 |
0 |
0 |
0 |
2 |
0 |
3 |
8 |
10 |
8 |
13 |
10 |
5 |
x |
2 |
0 |
0 |
0 |
0 |
20 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
3 |
5 |
10 |
30 |
53 |
x |
5 |
1 |
0 |
0 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
2 |
0 |
7 |
29 |
x |
52 |
10 |
1 |
1 |
0 |
1 |
0 |
18 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
3 |
3 |
8 |
x |
29 |
31 |
12 |
3 |
0 |
0 |
0 |
0 |
17 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
x |
8 |
7 |
10 |
8 |
1 |
1 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
x |
1 |
3 |
0 |
5 |
11 |
2 |
1 |
1 |
1 |
0 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
x |
0 |
0 |
3 |
2 |
3 |
8 |
7 |
4 |
1 |
1 |
0 |
14 |
0 |
0 |
0 |
0 |
0 |
0 |
x |
1 |
0 |
0 |
1 |
1 |
0 |
3 |
5 |
0 |
1 |
0 |
0 |
13 |
0 |
0 |
0 |
0 |
0 |
x |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
2 |
3 |
2 |
1 |
0 |
12 |
0 |
0 |
0 |
1 |
x |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
1 |
1 |
0 |
2 |
0 |
11 |
0 |
0 |
0 |
x |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
2 |
0 |
0 |
10 |
0 |
0 |
x |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
3 |
0 |
2 |
2 |
9 |
0 |
x |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
8 |
x |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |