9. G modeling#
9.1. Characteristics of modeling#
We use 3D modeling in non-linear mechanics with model reduction.
This modeling tests the accuracy of the empirical modes obtained in the E modeling.
We therefore use the bases produced in the E modeling.
9.2. Characteristics of the mesh#
The mesh contains 27 elements of type HEXA8.
9.3. Tested sizes and results#
The value of the displacements obtained with a reduced model is tested compared to those obtained. in the full model:
Location |
Moment |
Component |
Movement ( DEPL ) |
Instant |
Precision |
Node A in \(({1,0,3})\) |
|
DX |
\({0,0696319525128}\,{mm}\) |
0.0015 |
|
Node A in \(({1,0,3})\) |
|
DY |
\({0,199062276741}\,{mm}\) |
<1.0E -6% |
|
Node A in \(({1,0,3})\) |
|
DZ |
\({0,529606351907}\,{mm}\) |
<1.0E -6% |
And the constraints:
Location |
Instant |
Component |
Component |
Constraint ( SIEF_NOEU ) |
Precision |
Node A in \(({1,0,3})\) |
|
|
|
|
|
Node A in \(({1,0,3})\) |
|
|
|
|
|
Node A in \(({1,0,3})\) |
|
|
|
|
We test the values of the reduced coordinates (table COOR_REDUIT) \({a}_{m}^{u}\) calculated during the reduced calculation in STAT_NON_LINE. For the primal base (trips):
Identification |
Instant |
Mode |
Reference type |
\({a}_{m={1,}t=1s}^{u}\) |
|
1 |
|
\({a}_{m={2,}t=10s}^{u}\) |
|
2 |
|
We are also testing PREDICTION =” EXTRAPOLE “:
Location |
Moment |
Component |
Movement ( DEPL ) |
Instant |
Precision |
Node A in \(({1,0,3})\) |
|
DX |
\({0,0696319525128}\,{mm}\) |
0.0015 |
|
Node A in \(({1,0,3})\) |
|
DY |
\({0,199062276741}\,{mm}\) |
<1.0E -6% |
|
Node A in \(({1,0,3})\) |
|
DZ |
\({0,529606351907}\,{mm}\) |
<1.0E -6% |
We test the values of the reduced coordinates (table COOR_REDUIT) \({a}_{m}^{u}\) calculated during the reduced calculation in STAT_NON_LINE. For the primal base (trips):
Identification |
Instant |
Mode |
Reference type |
\({a}_{m={1,}t=1s}^{u}\) |
|
1 |
|
\({a}_{m={2,}t=10s}^{u}\) |
|
2 |
|
9.4. notes#
- We can see that the base produced in modeling E makes it possible to obtain very good results.
(error less than 0.2%) compared to the complete calculation except for the last three constraints. But for the latter, it is not significant because the constraints are very low.