Modeling A
==============


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

Formulation pressure 3D elements' ACOUSTIQUE '


.. image:: images/100016CC00002ACA00000C67B5956AC33967E19E.svg
    :width: 552
    :height: 159


.. _RefImage_100016CC00002ACA00000C67B5956AC33967E19E.svg:


.. csv-table::

    "Divide =", "15", "meshes HEXA20selon the :math:`x` axis"
    "", "2", "meshes HEXA20selon the :math:`y` axis"
    "", "2", "meshes HEXA20selon the :math:`z` axis"



.. csv-table::

    "Boundary conditions:", "", ""
    "", "VITE_FACE:", "(group_MA: Input", "Vnor: RI 0.014 0.)"
    "", "IMPE_FACE:", "(group_MA: Output", "Impe: RI 445.9 0.)"



.. csv-table::

    "Node name", ":math:`A=\mathrm{No1}` "," :math:`B=\mathrm{No780}` "," "," :math:`C=\mathrm{No751}` "," :math:`D=\mathrm{No763}`"



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


.. csv-table::

    "Number of nodes:", "471"
    "Number of meshes and types:", "60 HEXA208 QUAD8"



Tested values
---------------


.. csv-table::

    "**Location**", "**Sizes**", "**Reference**", "**Tolerance**"
    ":math:`A` "," :math:`p(\mathit{réel})` ", "—6.2426", "0.1%"
    "", ":math:`p(\mathit{imag})` ", "0.0000", "0.1%"
    "", ":math:`p(\mathit{dB})` ", "109.9"," 0.1%"
    "", "Sound Intensity (real)", "0.0437", "3%"
    "", "Sound Intensity (image)", "0", "3.5E-4"
    ":math:`B` "," :math:`p(\mathit{réel})` ", "—6.2426", "0.1%"
    "", ":math:`p(\mathit{imag})` ", "0.0000", "0.1%"
    "", ":math:`p(\mathit{dB})` ", "109.9"," 0.1%"
    "", "Sound Intensity (real)", "0.0437", "3%"
    "", "Sound Intensity (image)", "0", "3.5E-4"
    ":math:`C` "," :math:`p(\mathit{réel})` ", "6.0237", "0.1%"
    "", ":math:`p(\mathit{imag})` ", "1.6387", "0.1%"
    "", ":math:`p(\mathit{dB})` ", "109.9"," 0.1%"
    "", "Sound Intensity (real)", "0.04037", "3%"
    "", "Sound Intensity (image)", "0", "3.5E-4"
    ":math:`D` "," :math:`p(\mathit{réel})` ", "6.0237", "0.1%"
    "", ":math:`p(\mathit{imag})` ", "1.6387", "0.1%"
    "", ":math:`p(\mathit{dB})` ", "109.9"," 0.1%"
    "", "Sound Intensity (real)", "0.0437", "3%"
    "", "Sound Intensity (image)", "0", "3.5E-4"



.. csv-table::

    "", "", "", "", "", "**Frequency**", ""
    "**Clean mode order** :math:`i` "," :math:`m` "," "," :math:`n` "," "," :math:`p` ", "**reference**", "**tolerance**"
    "2
    3
    4
    5
    6
    7
    8
    9", 1"
    2
    3
    4
    5
    0
    1
    2", "0
    0
    0
    0
    0
    0
    0
    0", "0
    0
    0
    0
    0
    1
    1
    1", "171.5
    343.0
    514.5
    686.0
    857.5
    857.5
    874.482
    923.556", "0.01%
    0.01%
    0.1%
    1%
    0.1%
    0.5%
    0.5%
    0.5%"



note
--------

The results are tested in two different ways:


* by the usual procedure using DYNA_VIBRA;


* by a calculation broken down into linear algebra commands COMB_MATR_ASSE, CREA_CHAMP, FACTORISER, RESOUDRE.

The tests are therefore duplicated and it is checked that the results are consistent.