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


Geometry
---------


.. image:: images/10000A9200002A6000001CF0242CA1C47F8C41E8.svg
    :width: 546
    :height: 373


.. _RefImage_10000A9200002A6000001CF0242CA1C47F8C41E8.svg:


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

:math:`E=\mathrm{98 696}.044\mathrm{MPa}`

:math:`\nu =0.`

:math:`\rho =3.{10}^{6}\mathrm{kg}/{m}^{3}`

Without damping: :math:`C=0.` or with Rayleigh proportional damping: :math:`C=\lambda K+\mu M`, :math:`\lambda ={5.10}^{-4}`, :math:`\mu =-5`.


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

Force applied to node :math:`\mathrm{N02}` in :math:`B`: :math:`\mathrm{Fx}=1.{10}^{6}N`

Function :math:`\alpha (t)` load evolution: :math:`\alpha (t)=1.`, :math:`t\ge 0.`


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

Zero initial displacement.

Zero initial speed.