4. B modeling#
4.1. Characteristics of modeling#
We cut the beam into 20 SEG2 meshes (10 for part \(\mathrm{AB}\) and 10 for part \(\mathrm{BC}\)).
The modeling used for the beams is that of Euler Bernouilli (POU_D_E).
We are looking for two-dimensional solutions. We can therefore block movement \(\mathrm{DZ}\) and rotations \(\mathrm{DRX}\) and \(\mathrm{DRY}\) for all the nodes.
The end of the beam (point \(A\)) is embedded from where at this point:
\(\mathrm{DX}=\mathrm{DY}=0.\) \(\mathrm{DRZ}=0.\)
4.2. Characteristics of the mesh#
The mesh contains 21 knots and 20 SEG2 stitches.
The characteristic points of the mesh are as follows:
Point \(A=A\) |
Point \(B=B\) |
Point \(C=C\) |
4.3. Tested sizes and results#
For the vibration frequencies of the structure, the following results are obtained:
Identification |
Reference |
Frequency 1 |
11.76 |
Frequency 2 |
11.76 |
Frequency 3 |
105.88 |
Frequency 4 |
105.88 |
Frequency 5 |
294.10 |
Frequency 6 |
294.10 |
Frequency 7 |
576.44 |
Frequency 8 |
576.44 |
4.4. notes#
For natural frequencies, the results obtained are very good (error < 0.1%).