E modeling
==============


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


.. image:: images/Object_9.svg
    :width: 574
    :height: 267


.. _RefImage_Object_9.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: 200 TRIA6


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


.. csv-table::

    "**Identification**", "**Instants**", "**Reference**", "**Aster**", "**% difference**"
    "Frequency
    (mode 4 out of plane)", "", "44.762", "43.867", "2.00"
    "Frequency
    (modes 5 & 6 off plan)", "", "110.52", "106.058"
    106.066", "—4.037
    —4.029"
    "Frequency
    (mode 7 out of plane)", "", "169.08", "160.010", "—5.305"
    "Frequency
    (Mode 8 in the map)", "", "193.93", "193.600", "—0.170"
    "Frequency
    (mode 9 & 10 in the map)", "", "206.64", "206.209
    206.211", "0.208
    0.207"



notes
----------


*In 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 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", "43,867"
    "2", "106.06"
    "3", "106.07"
    "4", "160.11"
    "5", "186,72"
    "6", "193.60"
    "7", "199.76"
    "8", "200.23"
    "9", "206.21"
    "10", "206.21"
    "11", "219.28"
    "12", "245.91"
    "13", "245.94"
    "14", "249.27"