3. Modeling A#
3.1. Characteristics of modeling#
439 POU_D_T
3.2. Characteristics of the mesh#
Number of knots: 440
Number of meshes and type: 339 SEG2 and 6 SEG2 (DIS_T)
Note:
Care must be taken to correctly order the groups of nodes on which temperature measurements and average calculations are carried out.
3.3. Tested sizes and results#
In order to correctly validate the fatigue calculation, it is ensured that the results of the mechanical calculations are sufficiently close to the reference.
Natural frequencies of the empty line:
Mode Number |
Reference |
Aster |
\(\text{\%}\) difference |
1 |
5.059 |
5.05799 |
0.02 |
2 |
6.023 |
5.98255 |
0.67 |
3 |
6.866 |
6.86007 |
0.09 |
4 |
8,204 |
8,20337 |
0,01 |
5 |
9.733 |
9.73339 |
0.00 |
6 |
9.987 |
9.95736 |
0.30 |
7 |
16.535 |
16.4647 |
0.43 |
8 |
17,329 |
17,326 |
0.02 |
9 |
18.282 |
18.2823 |
0.00 |
10 |
19.004 |
18.996 |
0.04 |
11 |
20,271 |
20,2708 |
0,00 |
Efforts (moments) at node N1
NO. 1 |
Reference |
Aster |
\(\text{\%}\) difference |
||||||
Charging case |
\(\mathit{Mx}\) (\(\mathit{N.m}\)) |
\(\mathit{My}\) (\(\mathit{N.m}\)) |
\(\mathit{Mz}\) (\(\mathit{N.m}\)) |
\(\mathit{Mx}\) (\(\mathit{N.m}\)) |
\(\mathit{My}\) (\(\mathit{N.m}\)) |
\(\mathit{Mz}\) (\(\mathit{N.m}\)) |
\(\mathit{Mx}\) |
\(\mathit{My}\) |
\(\mathit{Mz}\) |
1 |
5947 |
4412.5 |
—5526 |
5985.5 |
4440.76 |
—5561.92 |
—0.65 |
—0.64 |
—0.65 |
2 |
—41084 |
—25691 |
91767.3 |
—41041.6 |
—25659.6 |
91727.2 |
0.10 |
0.12 |
0.04 |
3 |
—34253 |
—20695.4 |
83346.2 |
—34212.8 |
—20665.9 |
83307.7 |
0.12 |
0.14 |
0.05 |
5 |
—32752 |
—19577 |
81995.4 |
—32802.8 |
—19615.8 |
82041.5 |
—0.16 |
—0.20 |
—0.06 |
5 |
—40330 |
—25129 |
91089.6 |
—40335.5 |
—25133.6 |
91094.1 |
—0.01 |
—0.02 |
0,00 |
6 |
—34565 |
—20927.8 |
83624.6 |
—34565.3 |
—20928.5 |
83624.3 |
0,00 |
0,00 |
0,00 |
7 |
—42718 |
—26884 |
93803.2 |
—42664.3 |
—26845.2 |
93752.5 |
0.13 |
0.14 |
0.05 |
8 |
—38457 |
—23711 |
89984.4 |
—38426.1 |
—23688.3 |
89954 |
0.08 |
0.10 |
0.03 |
10 |
—43556 |
—28408.2 |
86848.7 |
—43537.4 |
—28394.9 |
86830 |
0.04 |
0.05 |
0.02 |
12 |
—44175 |
—28868.5 |
87403.1 |
—44232.3 |
—28912.1 |
87456.1 |
—0.13 |
—0.15 |
—0.06 |
14 |
1381 |
5671 |
—3179 |
1370 |
5700 |
—3320 |
0.59 |
—0.54 |
—4.45 |
Reference |
N 1 |
Aster |
\(\text{\%}\) difference |
|||
\(\mathit{Mx}\) (\(\mathit{N.m}\)) |
\(\mathrm{\mid }\mathrm{\mid }{\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mathrm{\mid }\mathrm{\mid }\) |
Charging case |
\(\mathit{Mx}\) (\(\mathit{N.m}\)) |
\(\mathrm{\mid }\mathrm{\mid }{\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mathrm{\mid }\mathrm{\mid }\) |
Diff \(\mathit{Mx}\) |
Diff \(\mathrm{\mid }\mathrm{\mid }{\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mathrm{\mid }\mathrm{\mid }\) |
240269 |
108501 |
Earthquake |
239009 |
108167 |
0.52 |
0.31 |
Thermal calculations:
Reference |
Aster |
\(\text{\%}\) difference |
|
Thermal transient |
\(°C\) |
\(°C\) right side |
|
2 |
0.741 |
0.719 |
3 |
6 |
15.48 |
15.38 |
3 |
Reference |
Aster |
\(\text{\%}\) difference |
|
Thermal transient |
right side |
right side |
|
2 |
1.043 |
1.8 |
73 |
6 |
5.99 |
9.34 |
56 |
Reference |
Aster |
\(\text{\%}\) difference |
|
Thermal transient |
elbow side |
elbow side |
|
2 |
1.445 |
2.4 |
65 |
6 |
5.69 |
8.8 |
54 |
Note:
Average temperatures are relatively different from the reference. This may be due to modeling (here axisymmetric, and \(\mathrm{3D}\) in [bib2]). In practice, only the mean temperature difference between the elbow and the straight pipe is used in the stress calculations.
Finally, the total cumulative use factor is equal to:
Reference |
Aster |
\(\text{\%}\) difference |
||
Knot/Knit |
Use Factor |
Use Factor |
||
\(\mathit{N80}\), \(\mathit{M1}\) |
0.00648 |
0.00648 |
0.0079 |
22 |