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


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

**Modeling**: Beam elements POU_D_E


.. image:: images/1000089E000018CE0000096854EE494EDC3D67A8.svg
    :width: 320
    :height: 121


.. _RefImage_1000089E000018CE0000096854EE494EDC3D67A8.svg:


.. csv-table::

    "Cutting:", "beam :math:`\mathrm{AB}`: 30 SEG2 meshes of variable cross section
    15 stitches in 'General section'
    15 meshes in 'Rectangular Section'"
    "Boundary conditions:", ""
    "in all the knots
    at the :math:`A` end "," DDL_IMPO: (TOUT :' OUI 'DZ: 0., DRX: 0., DRY: 0.)
    (Node: A DX: 0., DY: 0., DRZ: 0.)"
    "Node names:", "Point :math:`A=\mathrm{N100}`"
    "", "Point :math:`B=\mathrm{N200}`"



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


.. csv-table::

    "Mesh:", "Number of nodes: 31"
    "", "Number of meshes and types: 30 SEG2"



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


.. csv-table::

    "**Identification**", "**Reference**"
    "", "**Frequency in** :math:`\mathit{HZ}`"
    "Case 1 :math:`{h}_{0}\mathrm{/}{h}_{1}\mathrm{=}4` :math:`{b}_{0}\mathrm{/}{b}_{1}\mathrm{=}4`
    homothetic", ""
    "flexure 1", "54.18"
    "flexure 2", "171.94"
    "flexure 3", "384.40"
    "flexure 4", "697.24"
    "flexure 5", "1112.28"
    "Case 2 :math:`{h}_{0}\mathrm{/}{h}_{1}\mathrm{=}4` :math:`{b}_{0}\mathrm{/}{b}_{1}\mathrm{=}5`
    not homothetic", ""
    "flexure 1", "56.55"
    "flexure 2", "175.19"
    "flexure 3", "389.01"
    "flexure 4", "702.36"
    "flexure 5", "1117.63"