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


Geometry
---------


.. image:: images/1000055800000DF400000757BCE9867C7144ED7A.svg
    :width: 180
    :height: 94


.. _RefImage_1000055800000DF400000757BCE9867C7144ED7A.svg:

Excitation is a seismic movement of the imposed acceleration :math:`\mathit{AX}` type applied to the support in the :math:`\mathit{DX}` direction.

We are interested in the :math:`m` mass movement.


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


.. csv-table::

    "Point mass:", ":math:`m\mathrm{=}100\mathit{kg}`"
    "Elastic spring:", ":math:`k\mathrm{=}{10}^{6}N\mathrm{/}m`"
    "Modal damping:", ":math:`{\xi }_{0}\mathrm{=}0.05`"



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

The problem is one-dimensional in direction :math:`x`, and with 1 degree of freedom: the movement of mass :math:`m`.

Excitation is a power spectral density (DSP), with a constant acceleration between :math:`0.` and :math:`100\mathit{Hz}`.

It is applied to the support.