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


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


.. image:: images/Object_6.svg
    :width: 574
    :height: 267


.. _RefImage_Object_6.svg:

To validate the modeling in a coordinate system different from the global coordinate system, the plate is rotated by :math:`\mathrm{15,5}°`. This should not change the natural frequencies obtained.


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

Number of knots: 122

Number of meshes and types: 100 QUAD4


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


.. csv-table::

    "**Identification**", "**Instants**", "**Reference**", "**Aster**", "**% difference**"
    "Frequency
    (mode 4 out of plane)", "", "44.762", "44.64", "—0.273"
    "Frequency
    (modes 5 & 6 off plan)", "", "110.52", "108.04
    108.26", "—2.247
    —2.041"
    "Frequency
    (mode 7 out of plane)", "", "169.08", "162.86", "—3.681"
    "Frequency
    (Mode 8 in the map)", "", "193.93", "195.70", "0.912"
    "Frequency
    (mode 9 & 10 in the map)", "", "206.64", "208.89
    208.89", "1.088"



notes
----------


*In Code_Aster, the calculated modes are rigid body modes: the fourth reference mode is the first mode calculated by*Code_Aster*.


*Appearance of two flexure modes between reference modes 8 and 9: these modes are modes 6 and 7 of*Code_Aster*.

In the table below we have reported the first 14 natural frequencies found.


.. csv-table::

    "Mode No.", "Frequency (:math:`\mathrm{Hz}`)"
    "1", "44.64"
    "2", "108.04"
    "3", "108.26"
    "4", "162.86"
    "5", "195.70"
    "6", "203.97"
    "7", "206.08"
    "8", "208.89"
    "9", "208.89"
    "10", "220.92"
    "11", "248.12"
    "12", "250.10"
    "13", "252.49"
    "14", "289.79"