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


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

Modeling AXIS_FOURIER (QUAD8): 3 degrees of freedom per node :math:`(\mathrm{DX},\mathrm{DY},\mathrm{DZ})`

Boundary conditions:


* group of elements :math:`\mathrm{AD}`: :math:`\mathrm{DX}=\mathrm{0,}\mathrm{DZ}=0`


* group of elements :math:`\mathrm{BC}`: :math:`\mathrm{DY}=\mathrm{0,}\mathrm{DZ}=0`

Characteristics of discretization


* Sides :math:`\mathrm{AB}` and :math:`\mathrm{CD}`: 460 elements


* Sides :math:`\mathrm{AD}` and :math:`\mathrm{BC}`: 4 elements


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

Number of knots: 6449

Number of stitches: 1840 (QUAD8)


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


.. csv-table::

    "**Identification**", "**Reference**"
    "Critical pressure (:math:`n=0`)", ":math:`8.4935{10}^{5}\mathrm{Pa}`"
    "Move :math:`\mathrm{DY}` to node :math:`D` ", "1"



notes
---------


* The reference critical pressure :math:`{P}_{\mathrm{cr}}`, used in the command file, was obtained from the critical load referenced in paragraph [§ :ref:`2.2 <Ref64186338>`]:

:math:`{P}_{\mathrm{cr}}=\frac{{F}_{\mathrm{cr}}}{2\pi h}=849350.94N/{m}^{2}`


* Normalizing the eigenmode for the largest of the translation components implies a reference value equal to 1 for displacement :math:`\mathrm{DY}` at node :math:`D`.