Modélisation I
==============


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

**Modélisation : Élément**  de COQUE_3DMEC3QU9H


Conditions limites
~~~~~~~~~~~~~~~~~~


.. csv-table::

    "en tous les nœuds de l’arc :math:`\mathrm{ABC}`", "DX:0., DY: 0.,DZ: 0.
    DRX:0., DRY:0.,DRZ:0."
    "segment :math:`\left]\mathrm{OA}\right]`", "DY:0., DRX:0.,DRZ:0."
    "segment :math:`\left]\mathrm{OC}\right]`", "DX:0., DRY:0.,DRZ:0."
    "au nœud :math:`O`", "DX:0., DY:0., DRX:0.,DRY:0.,DRZ:0."


Noms des nœuds :


.. csv-table::

    "Point :math:`0`", "mailles : :math:`\mathrm{M1}`", "Point :math:`A`", "mailles : :math:`\mathrm{M21}`"
    "Point :math:`B`", "mailles : :math:`\mathrm{M25}`", "Point :math:`C`", "mailles : :math:`\mathrm{M5}`"
    "Point :math:`D`", "mailles : :math:`\mathrm{M11}`", "Point :math:`E`", "mailles : :math:`\mathrm{M3}`"



Caractéristiques du maillage
----------------------------

Nombre de nœuds : 96

Nombre de mailles et types : 25 QUAD9


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


+---------------------------------+----------------------+-------------------------+--------------+
|**Identification**               |**Type de référence** |**Valeurs de référence** |**Tolérance** |
|                                 |                      | **Reissner**            |              |
+---------------------------------+----------------------+-------------------------+--------------+
|O                                |'ANALYTIQUE'          |–703.40                  |0.5%          |
|                                 |                      |                         |              |
| .. image:: images/Object_62.svg |                      |                         |              |
|     :width: 33                  |                      |                         |              |
|     :height: 21                 |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
| .. _RefImage_Object_62.svg:     |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
+---------------------------------+----------------------+-------------------------+--------------+
|A                                |'ANALYTIQUE'          |0.                       |10-10         |
|                                 |                      |                         |              |
| .. image:: images/Object_75.svg |                      |                         |              |
|     :width: 33                  |                      |                         |              |
|     :height: 21                 |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
| .. _RefImage_Object_75.svg:     |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
+---------------------------------+----------------------+-------------------------+--------------+
|B                                |'ANALYTIQUE'          |0.                       |10-10         |
|                                 |                      |                         |              |
| .. image:: images/Object_85.svg |                      |                         |              |
|     :width: 33                  |                      |                         |              |
|     :height: 21                 |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
| .. _RefImage_Object_85.svg:     |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
+---------------------------------+----------------------+-------------------------+--------------+
|C                                |'ANALYTIQUE'          |0.                       |10-10         |
|                                 |                      |                         |              |
| .. image:: images/Object_86.svg |                      |                         |              |
|     :width: 33                  |                      |                         |              |
|     :height: 21                 |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
| .. _RefImage_Object_86.svg:     |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
+---------------------------------+----------------------+-------------------------+--------------+
|D                                |'ANALYTIQUE'          |–495.56                  |0.5%          |
|                                 |                      |                         |              |
| .. image:: images/Object_72.svg |                      |                         |              |
|     :width: 33                  |                      |                         |              |
|     :height: 21                 |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
| .. _RefImage_Object_72.svg:     |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
+---------------------------------+----------------------+-------------------------+--------------+
|E                                |'ANALYTIQUE'          |–495.56                  |0.5%          |
|                                 |                      |                         |              |
| .. image:: images/Object_73.svg |                      |                         |              |
|     :width: 33                  |                      |                         |              |
|     :height: 21                 |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
| .. _RefImage_Object_73.svg:     |                      |                         |              |
|                                 |                      |                         |              |
|                                 |                      |                         |              |
+---------------------------------+----------------------+-------------------------+--------------+



+-------------------------------------------------------+-----------------------+--------------------------+---------------+
| **Identification**                                    | **Type de référence** | **Valeurs de référence** | **Tolérance** |
+--------------------+----------------------------------+-----------------------+--------------------------+---------------+
| O                  |                                  | 'ANALYTIQUE'          | –0.20625                 | 1.3%          |
|                    | .. image:: images/Object_89.svg  |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_89.svg:      |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    +----------------------------------+-----------------------+--------------------------+---------------+
|                    |                                  | 'ANALYTIQUE'          | –0.20625                 | 1.3%          |
|                    | .. image:: images/Object_90.svg  |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_90.svg:      |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
+--------------------+----------------------------------+-----------------------+--------------------------+---------------+
| A                  |                                  | 'ANALYTIQUE'          | 0.                       | 0.002         |
|                    | .. image:: images/Object_410.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_410.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    +----------------------------------+-----------------------+--------------------------+---------------+
|                    |                                  | 'ANALYTIQUE'          | –0.0875                  | 1.3%          |
|                    | .. image:: images/Object_411.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_411.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
+--------------------+----------------------------------+-----------------------+--------------------------+---------------+
| C                  |                                  | 'ANALYTIQUE'          | 0.                       | 0.002         |
|                    | .. image:: images/Object_91.svg  |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_91.svg:      |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    +----------------------------------+-----------------------+--------------------------+---------------+
|                    |                                  | 'ANALYTIQUE'          | –0.0875                  | 2.3%          |
|                    | .. image:: images/Object_158.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_158.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
+--------------------+----------------------------------+-----------------------+--------------------------+---------------+
| D                  |                                  | 'ANALYTIQUE'          | –0.15469                 | 1%            |
|                    | .. image:: images/Object_164.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_164.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    +----------------------------------+-----------------------+--------------------------+---------------+
|                    |                                  | 'ANALYTIQUE'          | –0.17656                 | 1%            |
|                    | .. image:: images/Object_166.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_166.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
+--------------------+----------------------------------+-----------------------+--------------------------+---------------+
| E                  |                                  | 'ANALYTIQUE'          | –0.15469                 | 1%            |
|                    | .. image:: images/Object_171.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_171.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    +----------------------------------+-----------------------+--------------------------+---------------+
|                    |                                  | 'ANALYTIQUE'          | –0.17656                 | 1%            |
|                    | .. image:: images/Object_172.svg |                       |                          |               |
|                    |     :width: 33                   |                       |                          |               |
|                    |     :height: 21                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    | .. _RefImage_Object_172.svg:     |                       |                          |               |
|                    |                                  |                       |                          |               |
|                    |                                  |                       |                          |               |
+--------------------+----------------------------------+-----------------------+--------------------------+---------------+


Remarques
---------

Le test des valeurs est réalisé automatiquement à l'aide des fonctionnalités offertes par la procédure POST_RELEVE :


*   extraction sur les nœuds correspondant aux points observés des valeurs moyennes des composantes

    .. image:: images/Object_104.svg
        :width: 33
        :height: 21


    .. _RefImage_Object_104.svg:

et

    .. image:: images/Object_105.svg
        :width: 33
        :height: 21


    .. _RefImage_Object_105.svg:

; ces valeurs sont extraites du champ 'EFGE_ELNO' , et la moyenne est calculée pour toutes les valeurs disponibles sur les mailles qui contiennent le nœud observé,


*   calcul de l'écart par rapport à la valeur de référence fournie en appliquant les règles de correspondance entre

    .. image:: images/Object_106.svg
        :width: 33
        :height: 21


    .. _RefImage_Object_106.svg:

,

    .. image:: images/Object_107.svg
        :width: 33
        :height: 21


    .. _RefImage_Object_107.svg:

et

    .. image:: images/Object_108.svg
        :width: 33
        :height: 21


    .. _RefImage_Object_108.svg:

,

    .. image:: images/Object_109.svg
        :width: 33
        :height: 21


    .. _RefImage_Object_109.svg:

données page 3.