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


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

Modeling POU_D_E


.. image:: images/1000000000000149000000B3D9269AE321D154A0.jpg
    :width: 3.4272in
    :height: 1.8646in


.. _RefImage_1000000000000149000000B3D9269AE321D154A0.jpg:

Discretization:


* elements :math:`\mathrm{AB}`, :math:`\mathrm{EF}`, :math:`\mathrm{IJ}`: 10 meshes: SEG2


* elements :math:`\mathrm{BC}`, :math:`\mathrm{FG}`, :math:`\mathrm{JK}`: 10 meshes: SEG2


* elements :math:`\mathrm{CD1}`, :math:`\mathrm{GH1}`, :math:`\mathrm{KL1}`: 1 mesh: SEG2


* elements :math:`\mathrm{D2H1}`, :math:`\mathrm{H2L1}`: 30 meshes: SEG2

Dynamic evolution on :math:`\mathrm{1s}` discretized in :math:`5.{10}^{-4}s` time steps with the NEWMARK :math:`(a=0.25,d=0.5)` algorithm.

Storing results every 20 steps of time is :math:`{10}^{-2}s`.


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

Number of knots: 126

Number of meshes and types: 123 meshes SEG2


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


.. csv-table::

    "**Identification**", "**Test reference**"
    ":math:`t=0.12s` ", ""
    ":math:`{u}_{y}` in :math:`\mathrm{C2}` ", ""
    ":math:`{M}_{x}` in :math:`\mathrm{S1}` ", "—3140. :math:`\text{Nm}`"
    ":math:`{M}_{x}` in :math:`\mathrm{S2}` ", "—10150. :math:`\text{Nm}`"
    ":math:`{M}_{x}` in :math:`\mathrm{S3}` ", "—3130. :math:`\text{Nm}`"
    ":math:`{M}_{z}` in :math:`\mathrm{C2}` ", "1431. :math:`\text{Nm}`"
    "", ""
    ":math:`t=0.70s` ", ""
    ":math:`{u}_{y}` in :math:`\mathrm{C2}` ", ""
    ":math:`{M}_{x}` in :math:`\mathrm{S1}` ", "—6080. :math:`\text{Nm}`"
    ":math:`{M}_{x}` in :math:`\mathrm{S2}` ", "—19670. :math:`\text{Nm}`"
    ":math:`{M}_{x}` in :math:`\mathrm{S3}` ", "—6060. :math:`\text{Nm}`"
    ":math:`{M}_{z}` in :math:`\mathrm{C2}` ", "2746. :math:`\text{Nm}`"


Maxima obtained at :math:`t=0.12s` (1st short circuit) or :math:`t=0.70s` (2nd short circuit) or reclosing (tests-calculation compliance).


notes
---------

The results obtained by Code_aster are satisfactory compared to the other codes. They are almost always below the measurements (effects of frames :math:`\mathrm{AB}`, :math:`\mathrm{EF}`, :math:`\mathrm{IJ}` overestimated). The maxima are clipped due to periodic storage.

**Contents of the results file:**

Move all :math:`{10}^{-2}s` and effort into the elements at times :math:`t=0.12s`, :math:`t=0.27s`, :math:`t=0.70s`.