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


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

**Discreet element of translational rigidity**


.. image:: images/Object_8.svg
    :width: 264
    :height: 180


.. _RefImage_Object_8.svg:

Characteristics of the elements

.. csv-table::

    "DISCRET:", "with nodal masses", "M_T_D_N"
    "", "and stiffness matrices", "K_T_D_L"


Boundary conditions:

.. csv-table::

    "in all nodes", "DDL_IMPO:", "(TOUT: 'OUI' DY: 0., DZ: 0.)"
    "at the end node :math:`A` ", "", "(GROUP_NO: A DX: 0.)"


Node names:

.. csv-table::

    "Point :math:`A\mathrm{=}\mathit{N1}`"
    "Point :math:`B\mathrm{=}\mathit{N2}`"
    "Point :math:`C\mathrm{=}\mathit{N3}`"



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

Number of knots: 3

Number of meshes and types: 2 SEG2


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

Real and imaginary parts of component :math:`\mathit{DX}` of the displacement of point :math:`C`.


.. csv-table::

    "**Frequency**", "**Reference**", "**Aster**", "**% Difference**"
    "0.00", "7.1075E-03
    —3.5360E-04", "7.1074964639321E-03
    —3.5360678925035E-04", "1.08E-04", "1.08E-04"
    "3.36870E+00", "9.388216E-03
    —7.31196E-04", "9.3882649899583E-03
    —7.3120610001073E-04", "5.31E-04", "5.31E-04"
    "6.48480E+00", "—5.0269E-03
    —7.07103E-02", "—5.0349198344062E-03
    —7.0708581052416E-02", "0.012"
    "8.00060E+00", "—9.54931E-03
    —2.2154E-03", "—9.5490053525137E-03
    —2.2153458282190E-03", "0.003"
    "1.18746E+01", "—4.23259E-05
    —3.57193E-04", "—4.2266734408325E-05
    —3.5719325443817E-04", "0.016"
    "1.34747E+01", "2.35524E-03
    —5.01765E-04", "2.3552527130123E-03
    —5.0176685846530E-04", "5.34E-04", "5.34E-04"
    "1.55802E+01", "—1.6395374E-02
    —6.871471E-02", "—1.6420641488151E-02
    —6.8704047854161E-02", "0.039"
    "2.10543E+01", "—1.88977E-03
    —5.53314E-06", "—1.8897660707219E-03
    —5.5328629109043E-06", "2.08E-04", "2.08E-04"



notes
---------

**Contents of the results file:**

The values of the displacement of component :math:`\mathit{DX}` from point :math:`C` for all frequencies from :math:`0` to :math:`2.10543E+\mathrm{01Hz}` in steps of :math:`3.3687`.