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


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

Modeling AXIS_FOURIER, mesh QUAD8

F

A E B

D

C

R

Z

G

.. image:: images/10000000000003140000055338BAA350495E5603.png
    :width: 2.6264in
    :height: 4.5429in


.. _RefImage_10000000000003140000055338BAA350495E5603.png:

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Uniform temperature field :math:`{T}_{0}\mathrm{=}1`.


.. csv-table::

    "Breakdown:", "80 elements depending on the length"
    "", "2 elements along the radius"


Node name:


.. csv-table::

    ":math:`A\mathrm{=}\mathit{N1}` "," :math:`B\mathrm{=}\mathit{N2}` "," :math:`C\mathrm{=}\mathit{N3}` "," :math:`D\mathrm{=}\mathit{N4}` "," "," :math:`E\mathrm{=}\mathit{N9}` "," :math:`F\mathrm{=}\mathit{N171}` "," :math:`G\mathrm{=}N71`"



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

Number of knots: 645

Number of meshes and types: 160 QUAD8


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


.. csv-table::

    "", "**Location**", "**Value Type**", "**Reference Type**", "**Reference Values**", "**%**
    **Tolerance**"
    "Charge in :math:`\mathrm{cos}\theta` ", "Point :math:`G` "," :math:`{u}_{r}(m)`
    :math:`{u}_{\theta }(m)` "," SOURCE EXTERNE ", "0.96 x 10—5
    0.15 x 10—5", "0.10
    0.10"
    "Load in :math:`\mathrm{sin}2\theta` ", "Point :math:`G` "," :math:`{u}_{r}(m)` "," "," SOURCE EXTERNE ", "0.544426 x 10—5", "0.10"
    "Total load", "Point :math:`G` "," :math:`{u}_{r}(m)`
    :math:`{u}_{\theta }(m)` "," SOURCE EXTERNE ", "1.50748 10—5
    1.52412 10—5", "0.10
    0.10"



note
--------

Reference finite element model: 640 shell elements with 8 knots (10 elements along the length — 64 elements according to the circumference).