D modeling
==============


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


.. image:: images/Object_8.svg
    :width: 574
    :height: 267


.. _RefImage_Object_8.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", "47.182", "5.408"
    "Frequency
    (modes 5 & 6 off plan)", "", "", "110.52", "117.463", "6.283"
    "Frequency
    (mode 7 out of plane)", "", "169.08", "184.746", "9.266"
    "Frequency
    (Mode 8 in the map)", "", "193.93", "195.699", "0.912"
    "Frequency
    (mode 9 & 10 in the map)", "", "206.64", "208.887", "1.088"



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 after reference mode 11 (mode 8 of*Code_Aster*), in the same form as those appeared in modeling DST between reference modes 8 and 9 (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 (Hz)"
    "1", "47.183"
    "2", "117.46"
    "3", "117.46"
    "4", "184.75"
    "5", "195.70"
    "6", "208.89"
    "7", "208.89"
    "8", "220.92"
    "9", "234.74"
    "10", "234.74"
    "11", "252.49"
    "12", "289.79"
    "13", "297.27"
    "14", "297.27"