E modeling
==============

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

Modeling TUYAU (SEG4)


.. image:: images/10000000000001930000017A124CD6B4776B8B1F.png
    :width: 2.6917in
    :height: 2.2693in


.. _RefImage_10000000000001930000017A124CD6B4776B8B1F.png:

Lengths in meters

Boundary conditions: points :math:`C` and :math:`H`


* :math:`\text{DDL}` beam: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0`


* :math:`\text{DDL}` case:


* :math:`\mathrm{UIm}=\mathrm{VIm}=\mathrm{WIm}=0(m=\mathrm{2,3})`


* :math:`\mathrm{UOm}=\mathrm{VOm}=\mathrm{WOm}=0(m=\mathrm{2,3})`


* :math:`\mathrm{WI1}=\mathrm{WO1}=\mathrm{WO}=0`


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

.. csv-table::

    "Number of knots:", "85"
    "Number of meshes and type:", "28 SEG4"



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

.. csv-table::

    "**Identification**", "**Move**", "**Pipe reference (** :math:`M=3` **)**", "**%**"
    "**Own weight**", "Point :math:`D` :math:`\mathrm{DX}` ", "—0.16517E—03", "—0.22"
    "", ":math:`\mathrm{DY}` ", "—0.13870E—04", "—4.73"
    "", ":math:`\mathrm{DZ}` ", "—0.80376E—05", "—0.18"
    "**Nodal force**", "Point :math:`D` :math:`\mathrm{DX}` ", "—0.16445E—03", "—0.37"
    "", ":math:`\mathrm{DY}` ", "—0.14245E—04", "—1.74"
    "", ":math:`\mathrm{DZ}` ", "—0.10047E—04", "—0.50"
    "**Dilation**", "Point :math:`D` :math:`\mathrm{DX}` ", "—6.3277E—03", "0.02"
    "", ":math:`\mathrm{DY}` ", "—13.092E—03", "0.10"
    "", ":math:`\mathrm{DZ}` ", "16.798E—03", "0.27"



notes
---------

The mesh in SEG4 is obtained from a SEG3 mesh with the command CREA_MAILLAGE, MODI_MAILLE with the option 'SEG3_4'. It is important that the middle node of SEG3 is in the middle, the*Code_Aster* checks this condition with a tolerance.

The results obtained with*Code_Aster* are similar to those of :math:`\text{ABAQUS}` with pipe elements except for the :math:`\mathrm{DY}` displacement (natural weight and nodal force) where the difference is of the order of 5% and 2%.