B modeling
==============


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

The average deformation resulting from a harmonic calculation is calculated.

An excitation frequency equal to :math:`200\mathrm{Hz}` is chosen.

The operator OBSERVATION is also used for the surveys of displacement fields and deformation.


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

Knots: 1029

Meshes: 720 HEXA8


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

The deformation value is tested at the nodes located at the free end of the beam.


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**Tolerance**"
    ":math:`{\varepsilon }_{\mathrm{xx}}` in :math:`\mathrm{P5}` ", "4.8568623280004D-09 + i9.7137246560009D-09", "4.7813760355714D-09 + i9.5627520711429D-09", "2.0%"
    ":math:`{\varepsilon }_{\mathrm{zz}}` in :math:`\mathrm{P5}` ", "-1.4570586984001D-09 - i2.9141173968003D-09", "-1.4339303380850D-09 - i2.8678606766761701D-09", "2.0%"
    ":math:`{\varepsilon }_{\mathrm{yy}}` in :math:`\mathrm{P6}` (after rotating :math:`90°`)", "4.8568623280004D-09 + i9.7137246560009D-09", "4.7792223250189D-09 + i9.5584446500377D-09", "2.0%"
    ":math:`{\varepsilon }_{\mathrm{xx}}` in :math:`\mathrm{P6}` (after rotating :math:`90°`)", "-1.4570586984001D-09 - i2.9141173968003D-09", "-1.4339110329539D-09 - i2.8678220659079D-09", "2.0%"


Tests for mixed observation:


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**Tolerance**"
    ":math:`{\varepsilon }_{\mathrm{xx}}` in :math:`\mathit{P5}` ", "4.8568623280004E-09 + i9.7137246560009E-09", "4.7792696544452E-09 + i9.558539393088903E-09", "2.0%"
    "Displacement :math:`\mathit{DX}` in :math:`\mathit{P5}` (m)", "4.8568623280004E-09 + i9.7137246560009E-09", "4.6188418141639E-09 + i9.2376836283278E-09", "5.0%"
    "Speed :math:`\mathit{DX}` in :math:`\mathit{P5}` (m/s)", "-1.2206626407315E-05 + i6.1033132036573E-06", "-1.1608415609177E-05 + i5.8042078045883E-06", "5.0%"