Modeling I
==============


PBCaractéristiques of the mesh
------------------------------

PA

Point coordinates:


.. csv-table::

    "GROUP_NO "," :math:`{\mathrm{Coor}}_{x}` "," :math:`{\mathrm{Coor}}_{y}` ", ""
    ":math:`\mathrm{PA}` ", "1.0", "0.5", ""
    ":math:`\mathrm{PB}` ", "1.0", "0. ", ""


Characteristics of the elements:


.. csv-table::

    "Mesh types:", "2 COQUE_AXI"


So :math:`\mathrm{R1}=1.025m` and :math:`\mathrm{R2}=0.975m`.

 :math:`h=\mathrm{0.5m}`

For this modeling and the following ones, we specify the density :math:`\rho =1234.\mathrm{kg}/{m}^{3}`

Boundary conditions:

Node group :math:`\mathrm{PB}`: move along the :math:`Y` axis: :math:`\mathrm{DY}=0`


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


+--------------------------------------------+------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|**Keyword**                                 |**Identification**                                                      |**Reference Type**                       |**Reference Value**      |**Tolerance** |
+--------------------------------------------+------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|PRES_REP                                    |Travel Medium sheet                                                     |'ANALYTIQUE'                             |—9.81907 10—10           |2%            |
+                                            +------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|                                            |Constraints (:math:`\mathrm{SIYY}`) Medium sheet                        |'NON_DEFINI'                             |194.93754                |10%           |
+--------------------------------------------+------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|FORCE_COQUE (REEL) with MODI_METRIQUE       |Travel Medium sheet                                                     |'ANALYTIQUE'                             |—9.81907 10—10           |2%            |
+                                            +------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|                                            |Constraints (:math:`\mathrm{SIYY}`) Middle sheet Upper sheet Lower sheet|'ANALYTIQUE' 'ANALYTIQUE' '' ANALYTIQUE '|194.93754 200.125 190.125|2.8% 2.8% 2.8%|
+--------------------------------------------+------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|FORCE_COQUE FONCTION with MODI_METRIQUE     |Travel Medium sheet                                                     |'ANALYTIQUE'                             |—9.81907 10—10           |2%            |
+                                            +------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|                                            |Constraints (:math:`\mathrm{SIYY}`) Middle sheet Upper sheet Lower sheet|'ANALYTIQUE' 'ANALYTIQUE' '' ANALYTIQUE '|194.93754 200.125 190.125|2.8% 2.8% 2.8%|
+--------------------------------------------+------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|FORCE_COQUE (FONCTION) without MODI_METRIQUE|Travel Medium sheet                                                     |'ANALYTIQUE'                             |—9.81907 10—10           |2%            |
+                                            +------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+
|                                            |Constraints (:math:`\mathrm{SIYY}`) Middle sheet Upper sheet Lower sheet|'ANALYTIQUE' 'ANALYTIQUE' '' ANALYTIQUE '|194.93754 200.125 190.125|2.8% 0.1% 5.2%|
+--------------------------------------------+------------------------------------------------------------------------+-----------------------------------------+-------------------------+--------------+


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    "MASSE ", "'ANALYTIQUE'", "1.93836 E+02"," 0.1%"
    "CDG_X ", "'ANALYTIQUE'", "0.0", "0.001"
    "CDG_Y ", "'ANALYTIQUE'", "0.0", "0.001"
    "CDG_Z ", "'ANALYTIQUE'", "2.5 E-01"," 0.1%"
    "IX_G ", "'NON_REGRESSION'", "1.00956 E+02"," 0.1%"
    "IY_G ", "'NON_REGRESSION'", "1.00956 E+02"," 0.1%"
    "IZ_G ", "'NON_REGRESSION'", "1.93836 E+02"," 0.1%"
    "IXY_G ", "", "-8.42942", ""
    "IXZ_G ", "", "0.0", ""
    "IYZ_G ", "", "0.0", ""