B modeling
==============


Characteristics of modeling
-----------------------------------


.. image:: images/100007BE00001B98000005CA196C84C62F6A248C.svg
    :width: 355
    :height: 74


.. _RefImage_100007BE00001B98000005CA196C84C62F6A248C.svg:

We cut the beam into 20 SEG2 meshes (10 for part :math:`\mathrm{AB}` and 10 for part :math:`\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 :math:`\mathrm{DZ}` and rotations :math:`\mathrm{DRX}` and :math:`\mathrm{DRY}` for all the nodes.

The end of the beam (point :math:`A`) is embedded from where at this point:

:math:`\mathrm{DX}=\mathrm{DY}=0.` :math:`\mathrm{DRZ}=0.`


Characteristics of the mesh
----------------------------

The mesh contains 21 knots and 20 SEG2 stitches.

The characteristic points of the mesh are as follows:


.. csv-table::

    "Point :math:`A=A` ", "Point :math:`B=B` ", "Point :math:`C=C`"



Tested sizes and results
------------------------------

For the vibration frequencies of the structure, the following results are obtained:


.. csv-table::

    "**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"



notes
---------

For natural frequencies, the results obtained are very good (error < 0.1%).