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


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


.. image:: images/10000DF000001FF000000634C2888C4E73E0DBFC.svg
    :width: 412
    :height: 80


.. _RefImage_10000DF000001FF000000634C2888C4E73E0DBFC.svg:

Characteristics of the elements:


.. csv-table::

    "DISCRET ", "with nodal masses", "M_T_D_N"
    "", "and stiffness matrices", "K_T_D_L"
    "", "and damping matrices", "A_T_D_L"


Boundary conditions:


.. csv-table::

    "in all nodes", "DDL_IMPO ", "(TOUT =' OUI 'DY = 0., DZ = 0.)"
    "at the end nodes", "", "(GROUP_NO = 'AB', DX = 0.)"


Node names:


.. csv-table::

    "Point :math:`A` = :math:`\mathrm{N1}` "," :math:`{P}_{1}=\mathrm{N2}`"
    "Point :math:`B` = :math:`\mathrm{N10}` "," :math:`{P}_{2}=\mathrm{N3}`"
    "", "..."
    "", ":math:`{P}_{8}=\mathrm{N9}`"



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

Number of knots: 10

Number of meshes and types: 9 SEG2


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


.. csv-table::

    "**Identification**", "**Reference**
    **POUX**", "**Tolerance**", "**Reference**"
    **Non-regression**", "**Tolerance**"
    "Natural frequencies", "", "", "", ""
    "1", "5.53", "0.001", "0.001", "5.525", "0.001"
    "2", "10.89", "0.001", "0.001", "10.887", "0.001"
    "3", "15.92", "0.001", "0.001", "15.924", "0.001"
    "4", "20.46", "0.001", "20.461", "0.001"
    "5", "24.38", "0.001", "0.001", "24.390", "0.001"
    "6", "27.57", "0.001", "27.566", "0.001"
    "7", "29.91", "0.001", "29.911", "0.001"
    "8", "31.35", "0.001", "0.001", "31.347", "0.001"
    "Location size", "", "", "", ""
    "ACCE_ABSOLU :math:`A` :math:`\mathrm{DX}` ", "1.0", "0.15", "1.136", "0.001"
    ":math:`\mathrm{P1}` :math:`\mathrm{DX}` ", "10.45", "0.001", "0.001", "10.450", "0.001"
    ":math:`\mathrm{P2}` :math:`\mathrm{DX}` ", "19.03", "0.001", "19.030", "0.001"
    ":math:`\mathrm{P3}` :math:`\mathrm{DX}` ", "25.32", "0.001", "25.318", "0.001"
    ":math:`\mathrm{P4}` :math:`\mathrm{DX}` ", "28.95", "0.001", "28.946", "0.001"



notes
---------


.. csv-table::

    "Fashion", "1", "2", "3", "3", "3", "4", "5", "6", "7", "8"
    "Damping (in%)", "0.868", "0.868", "1,710", "1,710", "2,500", "3,213", "3,830", "4.331", "4.698", "4.698", "4.698", "4.924"
    "Spectrum", "23.19", "19.54", "19.54", "9.033", "9.033", "3.928", "2.282", "1.601", "1.283", "1.136"