Modélisation A
==============


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

**POU_D_T**


.. image:: images/100002C200000DBF000009D2698EAD93350BCD41.svg
    :width: 177
    :height: 126


.. _RefImage_100002C200000DBF000009D2698EAD93350BCD41.svg:


.. csv-table::

    "Découpage:", ":math:`\mathrm{N01}`", ":math:`\mathrm{N02}`", "1 maille SEG2"


Conditions limites: DDL_IMPO au nœud :math:`\mathrm{N01}` :


.. code-block:: text
DX:0., DY:0., DZ:0., DRX:0, DRY:0, DRZ:0


.. csv-table::

    "Pas de temps:", ":math:`{10}^{-5}\mathrm{s.}`"
    "Intégration NEWMARK", ":math:`\alpha =0.25` , :math:`\delta =0.5`"
    "Intégration WILSON", ":math:`\theta =1.4`"



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

Nombre de nœuds: 2

Nombre de mailles et types: 1 maille SEG2


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

Sans amortissement:


.. csv-table::

    "**Instant en sec.**", "**Référence**", "**Aster** **NEWMARK**", "**% différence**", "**Aster** **WILSON**", "**% différence**"
    "2.E–3", "2.4638E–04", "2.4519E–04", "0.5", "2.4424E–04", "0.86"
    "4.E–3", "8.9141E–04", "8.8948E–04", "1.93", "8.8794E–04", "0.38"
    "6.E–3", "1.6887E–03", "1.6868E–03", "0.11", "1.6852E–03", "0.20"
    "8.E–3", "2.3337E–03", "2.3325E–03", "0.05", "2.3316E–03", "0.09"
    "1.E–2", "2.5801E–03", "2.5801E–03", "0.03", "2.5801E–03", "0"
    "1.2E–2", "2.3337E–03", "2.3349E–03", "0.05", "2.3359E–03", "0.09"
    "1.4E–2", "1.6887E–3", "1.6906E–03", "0.43", "1.6922E–03", "0.21"
    "1.6E–2", "8.9141E–04", "8.9334E–04", "0.21", "8.9489E–04", "0.4"
    "1.8E–2", "2.4638E–04", "2.4758E–04", "0.48", "2.4854E–04", "0.87"
    "2.E–2", "0.0000", "3.1989E–09", "-", "9.3188E–09", "-"


Avec amortissement:


.. csv-table::

    "**Instant en sec.**", "**Référence**", "**Aster** **NEWMARK**", "**% différence**", "**Aster** **WILSON**", "**% différence**"
    "2.E–3", "2.3775E–04", "2.3662E0–4", "0.47", "2.3572E–04", "0.85"
    "4.E–3", "8.3189E–04", "8.3015E–04", "0.21", "8.2877E–04", "0.37"
    "6.E–3", "1.5307E–03", "1.5290E–03", "0.11", "1.5277E–03", "0.2"
    "8.E–3", "2.0704E–03", "2.0694E–03", "0.04", "2.0686E–03", "0.09"
    "1.E–2", "2.2721E–03", "2.2721E–03", "0.", "2.2720E–03", "0.004"
    "1.2E–2", "2.0976E–03", "2.0984E–03", "0.04", "2.0991E–03", "0.07"
    "1.4E–2", "1.6488E–03", "1.6501E–03", "0.08", "1.6511E–03", "0.14"
    "1.6E–2", "1.1164E–03", "1.1176E–03", "0.11", "1.1186E–03", "0.2"
    "1.8E–2", "7.0165E–04", "7.0241E–04", "0.11", "7.0302E–04", "0.19"
    "2.E–2", "5.4263E–04", "5.4266E–04", "0.005", "5.4269E–04", "0.01"



Remarques
---------

Après les deux premiers pas de temps, la solution avec amortissement est obtenue avec une erreur inférieure à :math:`\text{0.2\%}` .