Modélisation B
==============


Caractéristiques de la modélisation B
-------------------------------------

On modélise (Modélisation 3D), uniquement une ailette sur laquelle on applique des conditions de symétrie cyclique de diamètre double.

NB :on aurait pu choisir un autre nombre de diamètres modaux (0, 1, 3, ...)


.. csv-table::

    "Nombre de nœuds", ":math:`600`", "", "", ""
    "Nombre de mailles", ":math:`777`", "Soit :", "", ""
    "", "", "", "QUAD4", ":math:`426`"
    "", "", "", "HEXA8", ":math:`351`"



.. image:: images/10000201000006410000041C2734126CB7636ECC.png
    :width: 5.9465in
    :height: 2.5063in


.. _RefImage_10000201000006410000041C2734126CB7636ECC.png:

**Figure 4.1. Maillage d'une ailette pour la modélisation B**


Grandeurs testées et résultats
------------------------------


+----------+-----------+-----------------------+-------------------------------+
| Grandeur | N° mode   | Référence             | Tolérance :math:`(\text{\%})` |
|          |           | :math:`(\mathrm{Hz})` |                               |
+----------+-----------+-----------------------+-------------------------------+
| FREQ     | :math:`1` | :math:`33.4833`       | :math:`0.10`                  |
|          +-----------+-----------------------+-------------------------------+
|          | :math:`2` | :math:`33.4833`       | :math:`0.10`                  |
|          +-----------+-----------------------+-------------------------------+
|          | :math:`3` | :math:`44.8997`       | :math:`0.10`                  |
|          +-----------+-----------------------+-------------------------------+
|          | :math:`4` | :math:`44.8997`       | :math:`0.10`                  |
|          +-----------+-----------------------+-------------------------------+
|          | :math:`5` | :math:`80.2363`       | :math:`0.10`                  |
+----------+-----------+-----------------------+-------------------------------+


.. image:: images/10000000000002D200000136A7A4F3DE67D85F45.jpg
    :width: 5.4055in
    :height: 2.2417in


.. _RefImage_10000000000002D200000136A7A4F3DE67D85F45.jpg:

Mode :math:`1:33.4833\mathrm{Hz}`


.. image:: images/10000000000002CE000001236E833029CA3C450C.jpg
    :width: 5.4354in
    :height: 2.0102in


.. _RefImage_10000000000002CE000001236E833029CA3C450C.jpg:

Mode :math:`2:33.4833\mathrm{Hz}`


.. image:: images/10000000000002D600000142162CCCCDA5FC46E0.jpg
    :width: 5.4008in
    :height: 2.2862in


.. _RefImage_10000000000002D600000142162CCCCDA5FC46E0.jpg:

Mode :math:`3:44.8997\mathrm{Hz}`


.. image:: images/10000000000002CD00000139C9771C11E3B1269F.jpg
    :width: 5.3756in
    :height: 1.5402in


.. _RefImage_10000000000002CD00000139C9771C11E3B1269F.jpg:

Mode :math:`4:44.8997\mathrm{Hz}`


.. image:: images/10000000000002D40000018BD6B83BC76D9FACA0.jpg
    :width: 5.5091in
    :height: 2.6717in


.. _RefImage_10000000000002D40000018BD6B83BC76D9FACA0.jpg:

Mode :math:`5:80.2363\mathrm{Hz}`

**Figure 4.2 Les déformées modales des 5 premiers modes propres de diamètre 2**