D modeling
==============


Characteristics of modeling
-----------------------------------

Modeling POU_D_TGM (SEG2)

.. image:: images/Object_9.png
    :width: 4.6091in
    :height: 3.2173in


.. _RefSchema_Object_9.png:


Characteristics of the mesh
----------------------------

Number of knots: 11

Number of meshes and type: 10 SEG2 evenly distributed in length


Characteristics of the cross-section mesh (fibers)
--------------------------------------------------------------

Number of fibers: 50 (5 in the width and 10 in the thickness)

Number of meshes and type: 50 QUA4


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


Tested values
~~~~~~~~~~~~~~~~

The calculation strategy used is divided into two steps:


*
    *
        * **Imposed load**: The structure was pre-deformed according to its first buckling mode and with a very low amplitude compared to the length of the beam (in the order of :math:`{5.10}^{\mathrm{-}4}m`). Charging is applied up to :math:`P\mathrm{/}{P}_{\mathit{cr}}\mathrm{=}0.95`.


        * **Imposed displacement**: clear of 0.95, the structure begins to undergo a strong lateral displacement for a very small increase in load, so the structure is controlled in arc length to determine the post-buckling behavior.


        * The results are in good agreement with the reference solution starting from ETA_PILOTAGE = 1.152. Before this value, pre-deformation (necessary to obtain buckling) degrades the solution, and the differences with analytical solutions are significant (up to 60%). The corresponding values are subject to non-regression tests. But this difference is only linked to the initial (arbitrary) pre-deformation, since by increasing the vertical loading, we find the right solution.


.. csv-table::

    "**DZ**", "**Identification**", "**Instants**", "**Reference**"
    "—0.22", "X", "3.8", "0.3595"
    "", "DZ", "3.8", "—0.22"
    "", "ETA_PILOTAGE ", "3.8", "1.293"
    "", "MYY ", "3.8", "519.41"
    "", "", "", ""
    "—0.3255", "XX", "4.56", "0.396"
    "", "DZ", "4.56", "—0.3255"
    "", "ETA_PILOTAGE ", "4.56", "1.518"
    "", "MYY ", "4.56", "674.3"
    "", "", "", ""
    "—0.4385", "XX", "5.358", "0.4015"
    "", "DZ", "5.358", "—0.4385"
    "", "ETA_PILOTAGE ", "5.358", "1.884"
    "", "MYY ", "5.358", "849.74"



.. image:: images/1000020000000302000002533460005F8FD29060.png
    :width: 2.9937in
    :height: 2.3134in


.. _RefImage_1000020000000302000002533460005F8FD29060.png:


.. image:: images/10000200000002EE00000252F3F321FC6A081F7B.png
    :width: 2.9161in
    :height: 2.3098in


.. _refImage_10000200000002 EE00000252F3F321FC6A081F7B .png: