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


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


.. image:: images/1000000000000646000002DF4174779AD0A26DEE.png
    :width: 4.7638in
    :height: 2.1772in


.. _RefImage_1000000000000646000002DF4174779AD0A26DEE.png:

Figure 4.1-1: Meshing the geometry of the problem.

The beam is divided into two equal parts. Each half is represented by a substructure. These are generated using the Craig-Bampton method. Its modal base consists of normals with blocked interfaces, 10 in number, and static constrained modes relating to points such as :math:`X=L` and :math:`Y=h/2` (we only consider at these points the degrees of freedom not fixed by the boundary conditions).


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

Number of knots: 557

Number of meshes and types: 80 HEXA20


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


.. csv-table::

    "Mode", "Reference Value", "Reference Type", "Tolerance (%)"
    "1"," :math:`115.7` ", "'ANALYTIQUE'", ":math:`1.0`"
    "2"," :math:`442.2` ", "'ANALYTIQUE'", ":math:`1.0`"
    "3"," :math:`648.6` ", "'ANALYTIQUE'", ":math:`1.0`"
    "4"," :math:`931.6` ", "'ANALYTIQUE'", ":math:`1.0`"
    "5"," :math:`1534.0` ", "'ANALYTIQUE'", ":math:`1.0`"