F modeling
==============


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


.. image:: images/Object_10.svg
    :width: 574
    :height: 267


.. _RefImage_Object_10.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 QUAD8


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


.. csv-table::

    "**Identification**", "**Instants**", "**Reference**", "**Aster**", "**% difference**"
    "Frequency
    (mode 4 out of plane)", "", "44.762", "43.870", "—1.993"
    "Frequency
    (modes 5 & 6 off plan)", "", "110.52", "106.041", "—4.052"
    "Frequency
    (mode 7 out of plane)", "", "169.08", "160.055", "—5.337"
    "Frequency
    (Mode 8 in the map)", "", "193.93", "193.93", "193.588", "—0.176"
    "Frequency
    (mode 9 & 10 in the map)", "", "206.64", "206.192", "—0.216"



notes
----------


*In*Code_*Aster, the calculated modes are those of rigid bodies: 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", "43.87"
    "2", "106.04"
    "3", "106.04"
    "4", "160.06"
    "5", "193.59"
    "6", "199.64"
    "7", "200.13"
    "8", "206.19"
    "9", "206.19"
    "10", "219.26"
    "11", "245.68"
    "12", "245.68"
    "13", "249.20"
    "14", "287.99"