B modeling
==============

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

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|                                                                                                                            |Modeling TUYAU_6M (SEG3)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
+ .. image:: images/10000000000000EC000001305F172BCDA29957AA.png                                                             +                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               +
|    :width: 2.4484in                                                                                                        | Breakdown for numerical integration Number of layers: 7 Number of layers: 7 Number of sectors: 7 Number of sectors: 18                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |
+    :height: 3.152in                                                                                                        +                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               +
|                                                                                                                            | Boundary conditions: Point :math:`A`: degree of freedom of beam: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0` degree of freedom of shell: degree of freedom of shell: :math:`\mathrm{Ulm}=\mathrm{Vlm}=\mathrm{Wlm}=0(m=\mathrm{2,6})` :math:`\mathrm{UOm}=\mathrm{VOm}=\mathrm{WOm}=0(m=\mathrm{2,6})` :math:`\mathrm{Wl1}=\mathrm{WO1}=\mathrm{WO}=0` Point :math:`D`: degree of shell freedom: :math:`\mathrm{Ulm}=\mathrm{Vlm}=\mathrm{Wlm}=0(m=\mathrm{2,6})` :math:`\mathrm{UOm}=\mathrm{VOm}=\mathrm{WOm}=0(m=\mathrm{2,6})` :math:`\mathrm{Wl1}=\mathrm{WO1}=\mathrm{WO}=0`                                                                                                                                                                   |
+                                                                                                                            +                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               +
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Characteristics of the mesh
----------------------------

Number of knots: 45

Number of meshes and type: 22 SEG3


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

.. csv-table::

    ":math:`\mathrm{DRZ}` ", "**Identification**", "**Instants**", "**Instants**", "**Reference**", "**Aster**", ":math:`\text{\%}` **difference**"
    "0.32"," ETA_PILOTAGE ", "18", "18", "1.0", "1.0296", "2.96"
    "0.34"," ETA_PILOTAGE ", "18.5", "18.5", "1.0", "1.0379", "3.79"
    "0.36"," ETA_PILOTAGE ", "19", "19", "1.0", "1.0456", "4.56"
    "0.38"," ETA_PILOTAGE ", "19.5", "19.5", "1.0", "1.0528", "5.28"
    "0.40"," ETA_PILOTAGE ", "20", "20", "1.0", "1.0597", "5.97"



notes
---------

During step A, the internal pressure and the force due to the background effect are progressively imposed on the time interval :math:`0<t<10`. Then (step B), the bending moment is gradually imposed on the time interval :math:`10<t<20`. To solve, during step B, an increase in rotation :math:`\mathit{DRZ}` by :math:`0.4\mathit{rad}` is imposed on the solution obtained during step A.