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


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


.. image:: images/10000000000004F00000012F0165FCA97BB9C0CA.png
    :width: 4.9217in
    :height: 1.1693in


.. _RefImage_10000000000004F00000012F0165FCA97BB9C0CA.png:

**Figure 4.1 Problem mesh**

Modeling POU_D_Epour a third of the structure and the rest in 3D modeling, a discrete element of type DIS_TR.


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

Number of knots: 1303

Number of meshes and types: 160 HEXA20, 8 QUAD8, 8, 80 SEG2 and 1 POI1


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


Case 1: free end
~~~~~~~~~~~~~~~~~~~~~~~~~~

METHODE =' SORENSEN '

.. csv-table::

    "Identification", "Reference Value", "Reference Type", "Tolerance (%)"
    "Fashion 1"," :math:`85.5` ", "'ANALYTIQUE'", ":math:`0.85`"
    "Mode 2"," :math:`277` ", "'ANALYTIQUE'", ":math:`0.7`"
    "Mode 3"," :math:`577.9` ", "'ANALYTIQUE'", ":math:`0.8`"
    "Mode 4"," :math:`988.2` ", "'ANALYTIQUE'", ":math:`1.2`"
    "Fashion 5"," :math:`1507.9` ", "'ANALYTIQUE'", ":math:`3.6`"


METHODE =' JACOBI '

.. csv-table::

    "Identification", "Reference Value", "Reference Type", "Tolerance (%)"
    "Fashion 1"," :math:`85.5` ", "'ANALYTIQUE'", ":math:`0.85`"
    "Mode 2"," :math:`277` ", "'ANALYTIQUE'", ":math:`0.7`"
    "Mode 3"," :math:`577.9` ", "'ANALYTIQUE'", ":math:`0.8`"
    "Mode 4"," :math:`988.2` ", "'ANALYTIQUE'", ":math:`1.2`"
    "Fashion 5"," :math:`1507.9` ", "'ANALYTIQUE'", ":math:`3.7`"



Case 2: end with simple support
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

METHODE =' SORENSEN '

.. csv-table::

    "Identification", "Reference Value", "Reference Type", "Tolerance (%)"
    "Fashion 1"," :math:`43.1` ", "'ANALYTIQUE'", ":math:`0.4`"
    "Mode 2"," :math:`115.4` ", "'ANALYTIQUE'", ":math:`0.6`"
    "Mode 3"," :math:`286.5` ", "'ANALYTIQUE'", ":math:`0.6`"
    "Mode 4"," :math:`582.3` ", "'ANALYTIQUE'", ":math:`0.8`"
    "Fashion 5"," :math:`990.7` ", "'ANALYTIQUE'", ":math:`1.2`"
    "Fashion 6"," :math:`1509.6` ", "'ANALYTIQUE'", ":math:`3.7`"


METHODE =' JACOBI '


.. csv-table::

    "Identification", "Reference Value", "Reference Type", "Tolerance (%)"
    "Fashion 1"," :math:`43.1` ", "'ANALYTIQUE'", ":math:`0.4`"
    "Mode 2"," :math:`115.4` ", "'ANALYTIQUE'", ":math:`0.6`"
    "Mode 3"," :math:`286.5` ", "'ANALYTIQUE'", ":math:`0.6`"
    "Mode 4"," :math:`582.3` ", "'ANALYTIQUE'", ":math:`0.8`"
    "Fashion 5"," :math:`990.7` ", "'ANALYTIQUE'", ":math:`1.2`"
    "Fashion 6"," :math:`1509.6` ", "'ANALYTIQUE'", ":math:`3.7`"



*