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


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

We model (3D modeling), only a fin on which cyclic symmetry conditions of double diameter are applied.

NB: we could have chosen another number of modal diameters (0, 1, 3,...)


.. csv-table::

    "Number of nodes", ":math:`600` ", "", "", ""
    "Number of meshes", ":math:`777` ", "That is:", "", ""
    "", "", "QUAD4 "," :math:`426`"
    "", "", "HEXA8 "," :math:`351`"



.. image:: images/10000201000006410000041C2734126CB7636ECC.png
    :width: 5.9465in
    :height: 2.5063in


.. _RefImage_10000201000006410000041C2734126CB7636ECC.png:

**Figure 4.1. Wing mesh for B** modeling


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


+--------+-----------+-------------------------------+-----------------------------+
|Grandeur|Fashion no.|Reference :math:`(\mathrm{Hz})`|Tolerance :math:`(\text{\%})`|
+--------+-----------+-------------------------------+-----------------------------+
|FREQ    |:math:`1`  |:math:`33.4833`                |:math:`0.10`                 |
+        +-----------+-------------------------------+-----------------------------+
|        |:math:`2`  |:math:`33.4833`                |:math:`0.10`                 |
+        +-----------+-------------------------------+-----------------------------+
|        |:math:`3`  |:math:`44.8997`                |:math:`0.10`                 |
+        +-----------+-------------------------------+-----------------------------+
|        |:math:`4`  |:math:`44.8997`                |:math:`0.10`                 |
+        +-----------+-------------------------------+-----------------------------+
|        |:math:`5`  |:math:`80.2363`                |:math:`0.10`                 |
+--------+-----------+-------------------------------+-----------------------------+


.. image:: images/10000000000002D200000136A7A4F3DE67D85F45.jpg
    :width: 5.4055in
    :height: 2.2417in


.. _RefImage_10000000000002D200000136A7A4F3DE67D85F45.jpg:

Fashion :math:`1:33.4833\mathrm{Hz}`


.. image:: images/10000000000002CE000001236E833029CA3C450C.jpg
    :width: 5.4354in
    :height: 2.0102in


.. _RefImage_10000000000002CE000001236E833029CA3C450C.jpg:

Fashion :math:`2:33.4833\mathrm{Hz}`


.. image:: images/10000000000002D600000142162CCCCDA5FC46E0.jpg
    :width: 5.4008in
    :height: 2.2862in


.. _RefImage_10000000000002D600000142162CCCCDA5FC46E0.jpg:

Fashion :math:`3:44.8997\mathrm{Hz}`


.. image:: images/10000000000002CD00000139C9771C11E3B1269F.jpg
    :width: 5.3756in
    :height: 1.5402in


.. _RefImage_10000000000002CD00000139C9771C11E3B1269F.jpg:

Fashion :math:`4:44.8997\mathrm{Hz}`


.. image:: images/10000000000002D40000018BD6B83BC76D9FACA0.jpg
    :width: 5.5091in
    :height: 2.6717in


.. _RefImage_10000000000002D40000018BD6B83BC76D9FACA0.jpg:

Fashion :math:`5:80.2363\mathrm{Hz}`

**Figure 4.2 The modal deformations of the first 5 natural modes of diameter 2**