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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 444
    :height: 233


.. _RefImage_Object_1.svg:

Bar length: :math:`\mathrm{1.5m}`

Stiffness of the discretes: :math:`\mathit{kax},\mathit{kay},\mathit{kbx},\mathit{kby}`


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

Material for the line element: :math:`E\mathrm{=}2.0E+08\mathit{Pa}`, :math:`\rho \mathrm{=}1000.0\mathit{kg}\mathrm{/}{m}^{3}`

Mechanical characteristics of the bar: :math:`\mathit{section}\mathrm{=}\text{'}\mathit{CERCLE}\text{'}`, :math:`\mathit{rayon}\mathrm{=}0.5m`, :math:`\mathit{ep}\mathrm{=}0.5m`

The stiffness of the springs:

.. csv-table::

    ":math:`\mathit{Kxa}` "," :math:`\mathit{Kya}` "," :math:`\mathit{Kxb}` "," :math:`\mathit{Kyb}`"
    ":math:`10N\mathrm{/}m` "," :math:`20N\mathrm{/}m` "," :math:`25N\mathrm{/}m` "," :math:`30N\mathrm{/}m`"



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

At points :math:`A` and :math:`B`: blocking the degrees of freedom: :math:`\mathit{dx},\mathit{dy},\mathit{dz}`

At points :math:`\mathit{A1}` and :math:`\mathit{B1}`: blocking the degrees of freedom: :math:`\mathit{dz}`

The characteristics of the wind speed field, along axis :math:`y`:


.. image:: images/Object_2.svg
    :width: 444
    :height: 233


.. _RefImage_Object_2.svg:


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

The bar is at an angle of 30° (:math:`{\theta }_{0}\mathrm{=}30°`) with respect to the :math:`x` axis.