Modeling A
==============

The proposed shell modeling is Q4GG. Steel cables are modelled by BARRE elements.

The time step used for the calculations is :math:`\Delta t\mathrm{=}0.1\mathit{\mu s}`, it respects the stability condition (condition CFL).


Tested sizes and results
------------------------------

We test the :math:`\mathit{DY}` component of the movement at node :math:`{N}_{\mathit{ref}}^{\mathit{cyl}}` at three different times.


.. csv-table::

    "**Node**", "**Component**", "**Instant (ms)**", "**Reference Value (m)**", "**Tolerance (%)**"
    ":math:`{N}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{DY}` ", "0"," :math:`-0.00149171629532` "," :math:`1.E\mathrm{-}6`"
    ":math:`{N}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{DY}` ", "0.5"," :math:`-0.000144254069992` "," :math:`1.0`"
    ":math:`{N}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{DY}` ", "1"," :math:`0.00927115873819` "," :math:`0.3`"


We test the value of two components of the generalized forces :math:`\mathit{Nxx}` and :math:`\mathit{Nyy}`, in the cell :math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` at three different times.


.. csv-table::

    "**Mesh**", "**Component**", "**Instant (ms)**", "**Reference Value (N)**", "**Tolerance (%)**"
    ":math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{Nxx}` ", "0"," :math:`-298115.503936` "," :math:`1.0E\mathrm{-}6`"
    ":math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{Nxx}` ", "0.5"," :math:`12143.207589` "," :math:`\mathrm{9,0}`"
    ":math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{Nxx}` ", "1"," :math:`2183571.35963` "," :math:`0.25`"



.. csv-table::

    "**Mesh**", "**Component**", "**Instant (ms)**", "**Reference Value (N)**", "**Tolerance (%)**"
    ":math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{Nyy}` ", "0"," :math:`-1671586.18169` "," :math:`1.0E\mathrm{-}6`"
    ":math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{Nyy}` ", "0.5"," :math:`-115744.270149` "," :math:`0.5`"
    ":math:`{M}_{\mathit{ref}}^{\mathit{cyl}}` "," :math:`\mathit{Nyy}` ", "1"," :math:`10770364.4408` "," :math:`0.03`"


The value of the normal force is tested in element :math:`{\mathit{EL}}_{\mathit{ref}}^{\mathit{câb}}` at three different times.


.. csv-table::

    "**Mesh**", "**Component**", "**Instant (ms)**", "**Reference Value (N)**", "**Tolerance (%)**"
    ":math:`{\mathit{EL}}_{\mathit{ref}}^{\mathit{câb}}` "," :math:`N` ", "0"," :math:`3750000.0` "," :math:`2.0E\mathrm{-}3`"
    ":math:`{\mathit{EL}}_{\mathit{ref}}^{\mathit{câb}}` "," :math:`N` ", "0.5"," :math:`3808797.87598` "," :math:`0.2`"
    ":math:`{\mathit{EL}}_{\mathit{ref}}^{\mathit{câb}}` "," :math:`N` ", "1"," :math:`4229204.64926` "," :math:`0.5`"


The graph below shows the evolution of the displacement of the reference point obtained either with the DYNA_NON_LINE command or with CALC_EUROPLEXUS.


.. image:: images/Object_157.png
    :width: 5.9043in
    :height: 3.5634in


.. _RefSchema_Object_157.png: