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


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

The harmonic response (at :math:`1500\mathit{Hz}`) is calculated on a physical basis and on the matrix projected onto the first fifteen eigenmodes of the structure.

The paver is modelled using solid elements :math:`\mathrm{3D}`


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

Number of knots: 1764

Number of meshes:

 QUAD4: 1040

 HEXA8: 1200

Control node names and coordinates:

         :math:`\mathit{N433}`: :math:`(0.1575,0.125,0)`

         :math:`\mathit{N627}`: :math:`(0.3325,0.05,0)`


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


.. csv-table::

    "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**"
    "Physical calculation: DX at node :math:`\mathit{N433}` "," :math:`9.0386E-7m` "," ", "'AUTRE_ASTER'", "0.1%"
    "Projected matrix calculation:DX at node :math:`N433` "," :math:`9.0386E-7m` "," ", "'AUTRE_ASTER'", "0.1%"
    "SIXX at Gauss point number 1 of mesh :math:`M1145` "," :math:`4.5806E6\mathit{Pa}` "," ", "'AUTRE_ASTER'", "0.1%"
    "SIXX to the :math:`N627` knot of knit :math:`M1145` "," :math:`4.7080E6\mathit{Pa}` ", "'AUTRE_ASTER'", "0.1%"
    "EPXX at Gauss point number 1 of mesh :math:`M1145` "," :math:`2.31494E-5` "," ", "'AUTRE_ASTER'", "0.1%"
    "EPXX to the :math:`N627` knot of knit :math:`M1145` "," :math:`2.14060E-5` ", "'AUTRE_ASTER'", "0.1%"


Note: the tests are done by inter-comparison between harmonic calculation and transient calculation on a physical basis.

We calculate the kinetic energy ECIN_ELEM of the :math:`M1145` cell:


.. csv-table::

    "**Option**", "**Component**", "**Reference**", "**Reference Type**", "**Tolerance**"
    "ECIN_ELEM "," TOTALE ", "7.02862 10—7"," NON_REGRESSION ", "-"