Reference problem
=====================


Geometry
---------


.. image:: images/100000000000037300000205C6ECE7300517690C.png
    :width: 6.6228in
    :height: 3.9307in


.. _RefImage_100000000000037300000205C6ECE7300517690C.png:


Material properties
-----------------------

:math:`E\mathrm{=}25\mathit{Pa}`

:math:`\nu \mathrm{=}0.25`

:math:`\rho \mathrm{=}1\mathit{kg}\mathrm{/}{m}^{3}`


Boundary conditions and loads
-------------------------------------

Simple support plate


.. csv-table::

    ":math:`\mathit{AB}` "," :math:`\mathit{DX}\mathrm{=}0.` "," :math:`\mathit{DZ}\mathrm{=}0.` "," "," :math:`\mathit{DRY}\mathrm{=}0.` "," :math:`\mathit{MY}\mathrm{=}0.` ", ""
    ":math:`\mathit{BC}` "," :math:`\mathit{DY}\mathrm{=}0.` "," :math:`\mathit{DZ}\mathrm{=}0.` "," "," :math:`\mathit{DRX}\mathrm{=}0.` "," :math:`\mathit{MX}\mathrm{=}0.` ", ""
    ":math:`\mathit{CD}` "," :math:`\mathit{DX}\mathrm{=}0.` "," :math:`\mathit{DZ}\mathrm{=}0.` "," "," :math:`\mathit{DRY}\mathrm{=}0.` "," :math:`\mathit{MY}\mathrm{=}0.` ", ""
    ":math:`\mathit{DA}` "," :math:`\mathit{DY}\mathrm{=}0.` "," :math:`\mathit{DZ}\mathrm{=}0.` "," "," :math:`\mathit{DRX}\mathrm{=}0.` "," :math:`\mathit{MX}\mathrm{=}0.` ", ""
    "Point :math:`O` "," :math:`\mathit{DX}\mathrm{=}0.` "," :math:`\mathit{DY}\mathrm{=}0.` "," "," :math:`\mathit{DRX}\mathrm{=}0.` "," :math:`\mathit{DRY}\mathrm{=}0.` "," :math:`\mathit{DRZ}\mathrm{=}0.`"


Loading:


.. csv-table::

    "FORCE_COQUE ", "Sinusoidal Pressure", ":math:`P`"


With :math:`P\mathrm{=}{f}_{0}\mathrm{sin}\pi \frac{x}{a}\mathrm{sin}\pi \frac{y}{a}`, where :math:`{f}_{0}\mathrm{=}1` and :math:`a\mathrm{=}1`


Initial conditions
--------------------

Not applicable for static analysis.