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


Geometry
---------

Geometry is a simplified building with three walls, a floor, a sole and a base. In addition, a portion of the ground is shown.

The building structure elements have a thickness of :math:`\mathrm{0,1}m` while the base and the sole have a thickness of :math:`0.5m` and :math:`0.35m` respectively. The column has a rectangular cross section of :math:`0.2\mathrm{\times }0.2m` and the beam has a section of :math:`0.15\mathrm{\times }0.325m`. The anchor point for the post is named :math:`S`. This point is not in contact with the floor.


.. image:: images/100000000000049400000258C06566DFF2493ABE.png
    :width: 5.2465in
    :height: 2.7508in


.. _RefImage_100000000000049400000258C06566DFF2493ABE.png:


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

The material is isotropic elastic whose properties are:


* :math:`E=200000\mathit{MPa}`


* :math:`\nu =0.3`


* :math:`\rho =\mathrm{7800.Kg}/{m}^{3}`


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

The walls of the building are connected to the floor. This one has a rigid body movement. The group of nodes :math:`\mathit{CDG}` belongs to the delayder. These nodes have a different acceleration depending on time :math:`t` in each direction.

The group of nodes :math:`S`, end of the column on the raft side. These nodes have a different acceleration depending on time :math:`t` in each direction.


.. csv-table::

    "Node group", "Acceleration following x", "Acceleration following y", "Acceleration following z"
    ":math:`\mathit{CDG}` "," :math:`\mathrm{cos}(60\pi t)` "," :math:`\mathrm{cos}(90\pi t+\pi /3)` "," :math:`20\mathrm{cos}(30\pi t+\pi /4)`"
    ":math:`S` "," :math:`\mathrm{cos}(90\pi t+\pi /3)` "," :math:`20\mathrm{cos}(30\pi t+\pi /4)` "," :math:`\mathrm{cos}(60\pi t)`"