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


Geometry
---------


.. image:: images/1000070C0000156500000982E079B64DF549400A.svg
    :width: 276
    :height: 122


.. _RefImage_1000070C0000156500000982E079B64DF549400A.svg:


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

The system consists of a mass m and a spring with a stiffness :math:`k`. The shock bump stop has a stiffness equal to :math:`{K}_{\mathrm{choc}}`.


.. csv-table::

    "Mass", ":math:`m=100\mathrm{kg}`"
    "Stiffness", ":math:`k\mathrm{=}{10}^{4}N\mathrm{/}m`"
    "Normal shock stiffness", ":math:`{K}_{\mathrm{choc}}={10}^{6}N/m`"



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

The system is initially in the rest position (:math:`{U}_{0}=0`) and has an initial speed :math:`\dot{{U}_{0}}>0`. An initial speed of :math:`\dot{{U}_{0}}=1m/s` will be chosen for the application.