Modélisation A
==============


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


.. image:: images/Object_9.svg
    :width: 209
    :height: 265


.. _RefImage_Object_9.svg:

Le long de la poutre, nous avons :math:`\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=0` .

A la base, tous les degrés de liberté sont bloqués.


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

Le maillage est constitué de 21 nœuds et de 20 éléments poutre Timoshenko.


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

**Fréquences propres de flexion**


.. csv-table::

    "Numéro du mode", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10"
    "Castem", "0.70", "5.04", "14.69", "28.78", "46.19", "66.82", "92.74", "125.15", "163.91", "208.81"
    "DYNAM2D/DRAM", "0.70", "5.04", "14.67", "28.75", "46.18", "66.86", "92.77", "125.05", "163.38", "208.81"
    "PERMAS (1)", "0.70", "5.04", "14.69", "28.78", "46.19", "66.82", "92.74", "125.15", "163.91", "208.81"
    "NASTRAN", "0.70", "5.04", "14.67", "28.75", "46.18", "66.86", "92.78", "125.05", "163.48", "207.70"
    "SYSTUS (1)", "0.72", "5.13", "14.91", "29.19", "46.83", "67.65", "93.64", "125.95", "164.39", "208.61"
    "ABAQUS", "0.70", "5.02", "14.57", "28.42", "45.40", "65.17", "89.26", "118.50", "152.33", ""
    "MECHANICA", "0.70", "5.03", "14.62", "28.54", "45.63", "65.60", "90.21", "120.43", "155.88", "196.01"
    "CASTOR", "0.70", "5.03", "14.59", "28.46", "45.48", "65.35", "89.88", "120.24", "154.40", "194.06"
    "SYSTUS (2)", "0.70", "5.03", "14.59", "28.42", "45.35", "", "", "", "", ""
    "PERMAS (2)", "0.70", "5.03", "14.60", "28.48", "45.50", "65.29", "89.59", "119.41", "138.42", ""
    "Valeurs moyennes", "0.70", "5.04", "14.66", "28.66", "45.89", "66.27", "91.51", "122.77", "157.79", "204.69"
    "ASTER", "0.70", "5.03", "14.59", "28.43", "45.38", "65.07", "89.17", "118.67", "153.24", "192.40"
    "Ecart *Aster*", "0.00", "0.26", "0.48", "0.79", "1.12", "1.81", "2.56", "3.34", "2.88", "6.00"
    "Valeurs moyennes en %", "", "", "", "", "", "", "", "", "", ""


**Déplacement** :math:`(m)` **: avec** :math:`\mathrm{Fx}=1000`


.. csv-table::

    "CASTEM", "DYNAM2D", "PERMAS (1)", "PERMAS (2)", "SYSTUS (1)", "ABAQUS", "Valeur moyenne", "ASTER", "Ecart ( %) Valeur
    moyenne/ASTER"
    "0.039", "0.038", "0.041", "0.038", "0.035", "0.039", "0.038", "0.0344", "–9.4"



Remarques
---------

Des problèmes de définition entre effort internes et contraintes ne permettent pas de comparer les résultats d’ASTER avec les autres codes (moment fléchissant et effort tranchant).