7. E modeling#
7.1. Characteristics of modeling#
4 POU_D_EM elements with a hollow circular cross section: 4 SEG2 meshes
elements \(\mathit{AC}\) and \(\mathit{BC}\) |
radius: \(R=8.305164{10}^{-3}m\) Thickness: \(e=0.006m\) |
air \(A=2.{10}^{-4}{m}^{2}\) |
elements \(\mathit{CD}\) and \(\mathit{BD}\) |
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 \(\mathrm{A1}\), \(\mathrm{B2}\), 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.
7.2. 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 |
7.3. 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.
7.4. Tested sizes and results#
The results (Displacement, Velocity and Acceleration) were obtained at a frequency of \(100\mathrm{Hz}\)
Point |
Displacement ( \(m\) ) |
Reference Type |
Reference |
Tolerance |
\(D\) |
|
|
-1.65073E-05-9.22424E-06J |
3.50% |
\(\mathrm{DY}\) |
|
2.52829E-05+1.80184E-05J |
3.00% |
Point |
Speed ( \(m/s\) ) |
Reference Type |
Reference |
Tolerance |
\(D\) |
|
|
5.79576E-03-1.03719E-02J |
3.50% |
\(\mathrm{DY}\) |
|
-1.13213E-02+1.58857E-02J |
3.00% |
Point |
Acceleration ( \(m/{s}^{2}\) ) |
Reference Type |
Reference |
Tolerance |
|
\(D\) |
|
|
6.51684+3.64158j |
3.50% |
|
\(\mathrm{DY}\) |
|
-9.98130-7.11336j |
3.00% |