8. F modeling#
8.1. Characteristics of modeling#
4 POU_D_TGM elements with a hollow circular section: 4 SEG2 meshes
elements \(\mathrm{AC}\) and \(\mathrm{BC}\) |
radius: \(R=8.305164{10}^{-3}m\) Thickness: \(e=0.006m\) |
air \(A=2.{10}^{-4}{m}^{2}\) |
elements \(\mathrm{CD}\) and \(\mathrm{BD}\) |
radius: \(R=5.683099{10}^{-3}m\) Thickness: \(e=0.005m\) |
air \(A=1.{10}^{-4}{m}^{2}\) |
Poisson’s ratio: |
\(\nu =0.3\) |
Boundary conditions:
DDL_IMPO =( All=” OUI “, DZ= 0., DRX = 0., DRY = 0.)
To treat articulated connections, as many knots as bar ends are created.
at nodes \(A\), \(B\), and \(\mathrm{D4}\): DDL_IMPO =_F (All=” OUI “, DX= 0. , D4= 0.,)
at nodes \(\mathrm{C1}\), \(\mathrm{C2}\), \(\mathrm{C3}\) and \(\mathrm{D3}\), \(\mathrm{D4}\) continuity of translations, by LIAISON_DDLDX and DY.
no rotation is imposed.
8.2. Characteristics of the mesh#
Number of knots: 8
Number of meshes and types: 4 SEG2
Meshing the two hollow sections |
||
Elements |
Meshing |
specifications |
\(\mathrm{AC}\) and \(\mathrm{BC}\) |
|
240 knots 79 SEG2 415 TRIA3 |
\(\mathrm{CD}\) and \(\mathrm{BD}\) |
|
127 knots 56 SEG2 210 TRIA3 |
8.3. notes#
In this modeling, the complex dynamic response of the system subjected to complex harmonic excitation (\(F=-9810.+\mathrm{0.j}\)) is calculated in the presence of viscous damping proportional to stiffness and mass. (AMOR_ALPHA = AMOR_BETA =0.1). The results are compared to the results obtained with modeling POU_D_T by taking into account the characteristics \(A\), \(\mathit{IY}\) and \(\mathit{IZ}\) equal to those calculated by integrations on the fibers.
8.4. Tested sizes and results#
Point |
Displacement ( \(m\) ) |
Reference Type |
Reference |
% tolerance |
|
\(C3\) |
|
“ANALYTIQUE” |
“” |
2.6517E-4 |
0.50 |
\(C3\) |
|
“ANALYTIQUE” |
“” |
0.8839E-4 |
0.50 |
\(D3\) |
|
“ANALYTIQUE” |
“” |
3.47902E-3 |
0.50 |
\(D3\) |
|
“ANALYTIQUE” |
“” |
-5.60084E-3 |
0.50 |
Identification |
Component |
Reference Type |
Reference |
% tolerance |
|
Knit \(\mathit{AC}\) - Knot \(A1\) - Stitch \(1\) - SIEQ_ELNO |
|
“AUTRE_ASTER” |
4.082482905E-01 |
0.10 |
The results (Displacement, Speed and Acceleration) were obtained at a frequency of \(\mathrm{100hz}\)
Point |
Displacement ( \(m\) ) |
Reference Type |
Reference |
% tolerance |
\(D\) |
|
|
-1.64397E-05-9.09482E-06J |
0.10 |
\(\mathit{DY}\) |
|
2.51858E-05+1.78386E-05J |
0.10 |
Point |
Speed ( \(m/s\) ) |
Reference Type |
Reference |
% tolerance |
\(D\) |
|
|
5.71444E-03-0.0103293J |
0.10 |
\(\mathrm{DY}\) |
|
-0.011208+0.0158247j |
0.10 |
Point |
Acceleration ( \(m/{s}^{2}\) ) |
Reference Type |
Reference |
% tolerance |
\(D\) |
|
|
6.490118+3.590490j |
0.10 |
\(\mathrm{DY}\) |
|
-9.942974-7.0424160j |
0.10 |