3. Modélisation A#
3.1. Caractéristiques de la modélisation#
Modélisation DISCRET (en 3D)
Figure 3.1.a: géométrie.
Caractéristiques des éléments discrets
Modélisation en 3D GROUP_MA
Maille \(\mathrm{M1}\) : Nœud \(\mathrm{N1}\) à \(\mathrm{N2}\) DIS_T DL_T
Maille \(\mathrm{M2}\) : Nœud \(\mathrm{N1}\) à \(\mathrm{N3}\) DIS_TR DL_TR
Maille \(\mathrm{M3}\) : Nœud \(\mathrm{N4}\) DIS_T DN_T
Maille \(\mathrm{M4}\) : Nœud \(\mathrm{N5}\) DIS_TR DN_TR
Maille \(\mathrm{M10}\) : Nœud \(\mathrm{N1}\) à \(\mathrm{N20}\) DIS_T DL_T0
Maille \(\mathrm{M30}\) : Nœud \(\mathrm{N40}\) DIS_T DN_T0
Le discret dl_t0 à les mêmes caractéristiques que dl_t, par contre son orientation est différente.
CARA=”ANGL_NAUT”, VALE=(90.0,-90.0,0.0)
L’effort \(N\) est donc suivant l’axe \(Z\) , l’effort \(\mathrm{VY}\) suivant l’axe \(Z\) et l’effort \(\mathrm{VZ}\) suivant \(X\) .
3.2. Caractéristiques du maillage#
Nombre de nœuds: 7, Nombre de mailles: 6, Éléments SEG2: 3, Éléments POI1: 3
3.3. Définition de la fonction de chargement#
instants |
valeurs |
0.0 |
0.000 |
30.0 |
1.000 |
90.0 |
-1.000 |
145.0 |
0.800 |
180.0 |
-0.450 |
230.0 |
1.150 |
250.0 |
0.500 |
280.0 |
1.450 |
Le pas choisi est de \(1.s\) .
3.4. Propriétés des discrets#
Le tableau ci-dessous donne pour toutes les directions sollicitées les caractéristiques des discrets.
LIMY_* |
K_T* |
LIMU_* |
KCIN_* |
PUIS_* |
||
DL_T |
dx |
1000.0 |
3400000.0 |
1000.0 |
700000.0 |
2.00 |
DL_T0 |
dy |
1500.0 |
2000000.0 |
800.0 |
900000.0 |
1.50 |
dz |
2000.0 |
2500000.0 |
800.0 |
700000.0 |
2.25 |
|
DN_T |
dx |
1000.0 |
3400000.0 |
1000.0 |
700000.0 |
2.00 |
dy |
1500.0 |
2000000.0 |
800.0 |
900000.0 |
1.50 |
|
dz |
2000.0 |
2500000.0 |
800.0 |
700000.0 |
2.25 |
|
DL_TR |
dx |
1000.0 |
3400000.0 |
1000.0 |
700000.0 |
2.00 |
dy |
1500.0 |
2000000.0 |
800.0 |
900000.0 |
1.50 |
|
dz |
2000.0 |
2500000.0 |
800.0 |
700000.0 |
2.25 |
|
rx |
3000.0 |
3000000.0 |
1000.0 |
600000.0 |
2.00 |
|
ry |
3500.0 |
2700000.0 |
1800.0 |
800000.0 |
1.50 |
|
rz |
2500.0 |
3200000.0 |
1400.0 |
850000.0 |
2.25 |
|
DN_TR |
dx |
1000.0 |
3400000.0 |
1000.0 |
700000.0 |
2.00 |
dy |
1500.0 |
2000000.0 |
800.0 |
900000.0 |
1.50 |
|
dz |
2000.0 |
2500000.0 |
800.0 |
700000.0 |
2.25 |
|
rx |
3000.0 |
3000000.0 |
1000.0 |
600000.0 |
2.00 |
|
ry |
3500.0 |
2700000.0 |
1800.0 |
800000.0 |
1.50 |
|
rz |
2500.0 |
3200000.0 |
1400.0 |
850000.0 |
2.25 |
|
DN_T0 |
dx |
1000.0 |
3400000.0 |
700000.0 |
||
dy |
1500.0 |
2000000.0 |
900000.0 |
|||
dz |
2000.0 |
2500000.0 |
700000.0 |
3.5. Grandeurs testées et résultats#
GROUP_MA |
Effort |
Instant |
Effort Référence |
Effort Code_Aster |
Erreur |
DN_TR |
N |
30.000 |
1635.707253 |
1635.707253 |
-8.4900e-11 |
DN_TR |
N |
90.000 |
-1635.707253 |
-1635.707253 |
-8.4900e-11 |
DN_TR |
N |
145.000 |
1525.492881 |
1525.492881 |
-1.8200e-10 |
DN_TR |
N |
180.000 |
-1249.231871 |
-1249.231871 |
1.4500e-11 |
DN_TR |
N |
230.000 |
1699.177353 |
1699.177353 |
-1.6000e-10 |
DN_TR |
N |
250.000 |
-415.381013 |
-415.381013 |
-1.1200e-10 |
DN_TR |
N |
280.000 |
1789.595108 |
1789.595108 |
-4.9600e-11 |
DN_TR |
VY |
30.000 |
2224.098875 |
2224.098875 |
-4.9400e-12 |
DN_TR |
VY |
90.000 |
-2224.098875 |
-2224.098875 |
-4.9400e-12 |
DN_TR |
VY |
145.000 |
2190.040518 |
2190.040518 |
-1.0900e-10 |
DN_TR |
VY |
180.000 |
-2017.290415 |
-2017.290415 |
-1.5500e-10 |
DN_TR |
VY |
230.000 |
2239.745512 |
2239.745512 |
-6.2600e-12 |
DN_TR |
VY |
250.000 |
-790.397664 |
-790.397663 |
-3.5800e-11 |
DN_TR |
VY |
280.000 |
2258.782745 |
2258.782745 |
1.0400e-10 |
DN_TR |
VZ |
30.000 |
2767.252580 |
2767.252580 |
-7.5200e-11 |
DN_TR |
VZ |
90.000 |
-2767.252580 |
-2767.252580 |
-7.5200e-11 |
DN_TR |
VZ |
145.000 |
2740.932239 |
2740.932239 |
1.8200e-10 |
DN_TR |
VZ |
180.000 |
-2547.183658 |
-2547.183658 |
2.5800e-11 |
DN_TR |
VZ |
230.000 |
2777.276300 |
2777.276300 |
-1.5700e-10 |
DN_TR |
VZ |
250.000 |
-1243.236082 |
-1243.236082 |
-9.2100e-11 |
DN_TR |
VZ |
280.000 |
2787.481342 |
2787.481342 |
7.7000e-11 |
DN_TR |
MFY |
30.000 |
5022.231028 |
5022.231028 |
9.6800e-11 |
DN_TR |
MFY |
90.000 |
-5022.231028 |
-5022.231028 |
9.6800e-11 |
DN_TR |
MFY |
145.000 |
4911.499221 |
4911.499221 |
8.9600e-11 |
DN_TR |
MFY |
180.000 |
-4443.221450 |
-4443.221450 |
-4.3200e-12 |
DN_TR |
MFY |
230.000 |
5075.752629 |
5075.752629 |
3.5200e-12 |
DN_TR |
MFY |
250.000 |
-2025.828992 |
-2025.828992 |
-8.7200e-11 |
DN_TR |
MFY |
280.000 |
5143.339483 |
5143.339483 |
-4.7600e-11 |
DN_TR |
MFZ |
30.000 |
3773.863680 |
3773.863680 |
4.0200e-11 |
DN_TR |
MFZ |
90.000 |
-3773.863680 |
-3773.863680 |
4.0200e-11 |
DN_TR |
MFZ |
145.000 |
3686.099695 |
3686.099695 |
-2.8500e-11 |
DN_TR |
MFZ |
180.000 |
-3236.583886 |
-3236.583886 |
1.3700e-10 |
DN_TR |
MFZ |
230.000 |
3810.233618 |
3810.233618 |
6.2600e-11 |
DN_TR |
MFZ |
250.000 |
-1262.367026 |
-1262.367026 |
5.6200e-11 |
DN_TR |
MFZ |
280.000 |
3849.201624 |
3849.201624 |
-1.8600e-12 |
GROUP_MA |
Effort |
Instant |
Effort Référence |
Effort Code_Aster |
Erreur |
DN_T |
N |
30.000 |
1635.707253 |
1635.707253 |
-8.4900e-11 |
DN_T |
N |
90.000 |
-1635.707253 |
-1635.707253 |
-8.4900e-11 |
DN_T |
N |
145.000 |
1525.492881 |
1525.492881 |
-1.8200e-10 |
DN_T |
N |
180.000 |
-1249.231871 |
-1249.231871 |
1.4500e-11 |
DN_T |
N |
230.000 |
1699.177353 |
1699.177353 |
-1.6000e-10 |
DN_T |
N |
250.000 |
-415.381013 |
-415.381013 |
-1.1200e-10 |
DN_T |
N |
280.000 |
1789.595108 |
1789.595108 |
-4.9600e-11 |
DN_T |
VY |
30.000 |
2224.098875 |
2224.098875 |
-4.9400e-12 |
DN_T |
VY |
90.000 |
-2224.098875 |
-2224.098875 |
-4.9400e-12 |
DN_T |
VY |
145.000 |
2190.040518 |
2190.040518 |
-1.0900e-10 |
DN_T |
VY |
180.000 |
-2017.290415 |
-2017.290415 |
-1.5500e-10 |
DN_T |
VY |
230.000 |
2239.745512 |
2239.745512 |
-6.2600e-12 |
DN_T |
VY |
250.000 |
-790.397664 |
-790.397663 |
-3.5800e-11 |
DN_T |
VY |
280.000 |
2258.782745 |
2258.782745 |
1.0400e-10 |
DN_T |
VZ |
30.000 |
2767.252580 |
2767.252580 |
-7.5200e-11 |
DN_T |
VZ |
90.000 |
-2767.252580 |
-2767.252580 |
-7.5200e-11 |
DN_T |
VZ |
145.000 |
2740.932239 |
2740.932239 |
1.8200e-10 |
DN_T |
VZ |
180.000 |
-2547.183658 |
-2547.183658 |
2.5800e-11 |
DN_T |
VZ |
230.000 |
2777.276300 |
2777.276300 |
-1.5700e-10 |
DN_T |
VZ |
250.000 |
-1243.236082 |
-1243.236082 |
-9.2100e-11 |
DN_T |
VZ |
280.000 |
2787.481342 |
2787.481342 |
7.7000e-11 |
GROUP_MA |
Effort |
Instant |
Effort Référence |
Effort Code_Aster |
Erreur |
DL_TR |
N |
30.000 |
1635.707253 |
1635.707253 |
-8.4900e-11 |
DL_TR |
N |
90.000 |
-1635.707253 |
-1635.707253 |
-8.4900e-11 |
DL_TR |
N |
145.000 |
1525.492881 |
1525.492881 |
-1.8200e-10 |
DL_TR |
N |
180.000 |
-1249.231871 |
-1249.231871 |
1.4500e-11 |
DL_TR |
N |
230.000 |
1699.177353 |
1699.177353 |
-1.6000e-10 |
DL_TR |
N |
250.000 |
-415.381013 |
-415.381013 |
-1.1200e-10 |
DL_TR |
N |
280.000 |
1789.595108 |
1789.595108 |
-4.9600e-11 |
DL_TR |
VY |
30.000 |
2224.098875 |
2224.098875 |
-4.9400e-12 |
DL_TR |
VY |
90.000 |
-2224.098875 |
-2224.098875 |
-4.9400e-12 |
DL_TR |
VY |
145.000 |
2190.040518 |
2190.040518 |
-1.0900e-10 |
DL_TR |
VY |
180.000 |
-2017.290415 |
-2017.290415 |
-1.5500e-10 |
DL_TR |
VY |
230.000 |
2239.745512 |
2239.745512 |
-6.2600e-12 |
DL_TR |
VY |
250.000 |
-790.397664 |
-790.397663 |
-3.5800e-11 |
DL_TR |
VY |
280.000 |
2258.782745 |
2258.782745 |
1.0400e-10 |
DL_TR |
VZ |
30.000 |
2767.252580 |
2767.252580 |
-7.5200e-11 |
DL_TR |
VZ |
90.000 |
-2767.252580 |
-2767.252580 |
-7.5200e-11 |
DL_TR |
VZ |
145.000 |
2740.932239 |
2740.932239 |
1.8200e-10 |
DL_TR |
VZ |
180.000 |
-2547.183658 |
-2547.183658 |
2.5800e-11 |
DL_TR |
VZ |
230.000 |
2777.276300 |
2777.276300 |
-1.5700e-10 |
DL_TR |
VZ |
250.000 |
-1243.236082 |
-1243.236082 |
-9.2100e-11 |
DL_TR |
VZ |
280.000 |
2787.481342 |
2787.481342 |
7.7000e-11 |
DL_TR |
MFY |
30.000 |
5022.231028 |
5022.231028 |
9.6800e-11 |
DL_TR |
MFY |
90.000 |
-5022.231028 |
-5022.231028 |
9.6800e-11 |
DL_TR |
MFY |
145.000 |
4911.499221 |
4911.499221 |
8.9600e-11 |
DL_TR |
MFY |
180.000 |
-4443.221450 |
-4443.221450 |
-4.3200e-12 |
DL_TR |
MFY |
230.000 |
5075.752629 |
5075.752629 |
3.5200e-12 |
DL_TR |
MFY |
250.000 |
-2025.828992 |
-2025.828992 |
-8.7200e-11 |
DL_TR |
MFY |
280.000 |
5143.339483 |
5143.339483 |
-4.7600e-11 |
DL_TR |
MFZ |
30.000 |
3773.863680 |
3773.863680 |
4.0200e-11 |
DL_TR |
MFZ |
90.000 |
-3773.863680 |
-3773.863680 |
4.0200e-11 |
DL_TR |
MFZ |
145.000 |
3686.099695 |
3686.099695 |
-2.8500e-11 |
DL_TR |
MFZ |
180.000 |
-3236.583886 |
-3236.583886 |
1.3700e-10 |
DL_TR |
MFZ |
230.000 |
3810.233618 |
3810.233618 |
6.2600e-11 |
DL_TR |
MFZ |
250.000 |
-1262.367026 |
-1262.367026 |
5.6200e-11 |
DL_TR |
MFZ |
280.000 |
3849.201624 |
3849.201624 |
-1.8600e-12 |
GROUP_MA |
Effort |
Instant |
Effort Référence |
Effort Code_Aster |
Erreur |
DL_T |
N |
30.000 |
1635.707253 |
1635.707253 |
-8.4900e-11 |
DL_T |
N |
90.000 |
-1635.707253 |
-1635.707253 |
-8.4900e-11 |
DL_T |
N |
145.000 |
1525.492881 |
1525.492881 |
-1.8200e-10 |
DL_T |
N |
180.000 |
-1249.231871 |
-1249.231871 |
1.4500e-11 |
DL_T |
N |
230.000 |
1699.177353 |
1699.177353 |
-1.6000e-10 |
DL_T |
N |
250.000 |
-415.381013 |
-415.381013 |
-1.1200e-10 |
DL_T |
N |
280.000 |
1789.595108 |
1789.595108 |
-4.9600e-11 |
DL_T |
VY |
30.000 |
2224.098875 |
2224.098875 |
-4.9400e-12 |
DL_T |
VY |
90.000 |
-2224.098875 |
-2224.098875 |
-4.9400e-12 |
DL_T |
VY |
145.000 |
2190.040518 |
2190.040518 |
-1.0900e-10 |
DL_T |
VY |
180.000 |
-2017.290415 |
-2017.290415 |
-1.5500e-10 |
DL_T |
VY |
230.000 |
2239.745512 |
2239.745512 |
-6.2600e-12 |
DL_T |
VY |
250.000 |
-790.397664 |
-790.397663 |
-3.5800e-11 |
DL_T |
VY |
280.000 |
2258.782745 |
2258.782745 |
1.0400e-10 |
DL_T |
VZ |
30.000 |
2767.252580 |
2767.252580 |
-7.5200e-11 |
DL_T |
VZ |
90.000 |
-2767.252580 |
-2767.252580 |
-7.5200e-11 |
DL_T |
VZ |
145.000 |
2740.932239 |
2740.932239 |
1.8200e-10 |
DL_T |
VZ |
180.000 |
-2547.183658 |
-2547.183658 |
2.5800e-11 |
DL_T |
VZ |
230.000 |
2777.276300 |
2777.276300 |
-1.5700e-10 |
DL_T |
VZ |
250.000 |
-1243.236082 |
-1243.236082 |
-9.2100e-11 |
DL_T |
VZ |
280.000 |
2787.481342 |
2787.481342 |
7.7000e-11 |
GROUP_MA |
Effort |
Instant |
Effort Référence |
Effort Code_Aster |
Erreur |
DL_T0 |
N |
30.000 |
1635.707253 |
1635.707253 |
-8.4900e-11 |
DL_T0 |
N |
90.000 |
-1635.707253 |
-1635.707253 |
-8.4900e-11 |
DL_T0 |
N |
145.000 |
1525.492881 |
1525.492881 |
-1.8200e-10 |
DL_T0 |
N |
180.000 |
-1249.231871 |
-1249.231871 |
1.4500e-11 |
DL_T0 |
N |
230.000 |
1699.177353 |
1699.177353 |
-1.6000e-10 |
DL_T0 |
N |
250.000 |
-415.381013 |
-415.381013 |
-1.1200e-10 |
DL_T0 |
N |
280.000 |
1789.595108 |
1789.595108 |
-4.9600e-11 |
DL_T0 |
VY |
30.000 |
2224.098875 |
2224.098875 |
-4.9400e-12 |
DL_T0 |
VY |
90.000 |
-2224.098875 |
-2224.098875 |
-4.9400e-12 |
DL_T0 |
VY |
145.000 |
2190.040518 |
2190.040518 |
-1.0900e-10 |
DL_T0 |
VY |
180.000 |
-2017.290415 |
-2017.290415 |
-1.5500e-10 |
DL_T0 |
VY |
230.000 |
2239.745512 |
2239.745512 |
-6.2600e-12 |
DL_T0 |
VY |
250.000 |
-790.397664 |
-790.397663 |
-3.5800e-11 |
DL_T0 |
VY |
280.000 |
2258.782745 |
2258.782745 |
1.0400e-10 |
DL_T0 |
VZ |
30.000 |
2767.252580 |
2767.252580 |
-7.5200e-11 |
DL_T0 |
VZ |
90.000 |
-2767.252580 |
-2767.252580 |
-7.5200e-11 |
DL_T0 |
VZ |
145.000 |
2740.932239 |
2740.932239 |
1.8200e-10 |
DL_T0 |
VZ |
180.000 |
-2547.183658 |
-2547.183658 |
2.5800e-11 |
DL_T0 |
VZ |
230.000 |
2777.276300 |
2777.276300 |
-1.5700e-10 |
DL_T0 |
VZ |
250.000 |
-1243.236082 |
-1243.236082 |
-9.2100e-11 |
DL_T0 |
VZ |
280.000 |
2787.481342 |
2787.481342 |
7.7000e-11 |
GROUP_MA |
Effort |
Instant |
Effort Référence |
Effort Code_Aster |
Erreur |
DN_T0 |
N |
30.000 |
1823.529412 |
1823.529412 |
3.5500e-11 |
DN_T0 |
N |
90.000 |
-1823.529412 |
-1823.529412 |
3.5500e-11 |
DN_T0 |
N |
145.000 |
1823.529412 |
1823.529412 |
3.5500e-11 |
DN_T0 |
VY |
30.000 |
4200.000000 |
4200.000000 |
2.1700e-16 |
DN_T0 |
VY |
90.000 |
-4200.000000 |
-4200.000000 |
-4.3300e-16 |
DN_T0 |
VY |
145.000 |
4200.000000 |
4200.000000 |
-2.1700e-16 |
DN_T0 |
VZ |
30.000 |
4240.000000 |
4240.000000 |
0.0000e+00 |
DN_T0 |
VZ |
90.000 |
-4240.000000 |
-4240.000000 |
-2.1500e-16 |
DN_T0 |
VZ |
145.000 |
4240.000000 |
4240.000000 |
2.1500e-16 |
GROUP_MA |
Direction |
Énergie Référence |
Énergie Code_Aster |
Erreur |
DN_TR |
DX |
9.083900 |
9.083899 |
-1.1600e-07 |
DN_TR |
DY |
35.563390 |
35.563387 |
-9.4500 10-8 |
DN_TR |
DZ |
51.155440 |
51.155445 |
9.2600 10-8 |
DN_TR |
RX |
96.706530 |
96.706529 |
-1.5000 10-8 |
DN_TR |
RY |
144.155340 |
144.155339 |
-4.8400 10-9 |
DN_TR |
RZ |
61.549450 |
61.549446 |
-5.8100 10-8 |
DN_T |
DX |
9.083900 |
9.083899 |
-1.1600e-07 |
DN_T |
DY |
35.563390 |
35.563387 |
-9.4500 10-8 |
DN_T |
DZ |
51.155440 |
51.155445 |
9.2600 10-8 |
DL_TR |
DX |
9.083900 |
9.083899 |
-1.1600e-07 |
DL_TR |
DY |
35.563390 |
35.563387 |
-9.4500 10-8 |
DL_TR |
DZ |
51.155440 |
51.155445 |
9.2600 10-8 |
DL_TR |
RX |
96.706530 |
96.706529 |
-1.5000 10-8 |
DL_TR |
RY |
144.155340 |
144.155339 |
-4.8400e-09 |
DL_TR |
RZ |
61.549450 |
61.549446 |
-5.8100 10-8 |
DL_T |
DX |
9.083900 |
9.083899 |
-1.1600e-07 |
DL_T |
DY |
35.563390 |
35.563387 |
-9.4500 10-8 |
DL_T |
DZ |
51.155440 |
51.155445 |
9.2600 10-8 |
DL_T0 |
DX |
9.083900 |
9.083899 |
-1.1600e-07 |
DL_T0 |
DY |
35.563390 |
35.563387 |
-9.4500 10-8 |
DL_T0 |
DZ |
51.155440 |
51.155445 |
9.2600 10-8 |
DN_T0 |
DX |
5.055974 |
5.055974 |
-5.5200e-12 |
DN_T0 |
DY |
14.602500 |
14.602500 |
0.0000 |
DN_T0 |
DZ |
25.620480 |
25.620480 |
1.3900e-16 |