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


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

3D beam element modeling: POU_D_T


.. image:: images/Object_23.svg
    :width: 532
    :height: 113


.. _RefImage_Object_23.svg:

**Cutting:**

:math:`\mathrm{AC}` = 4 SEG2 stitches of equal length

**Boundary conditions:**


* Embedded :math:`\mathrm{N1}(A)` knot

DDL_IMPO :math:`\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0`


* Node :math:`\mathrm{N5}(C)` in imposed displacement following :math:`x`

DDL_IMPO :math:`\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0` :math:`\mathrm{DX}(t)=\stackrel{ˉ}{u}`

**Resolution:**

Newmark Direct Integration Algorithm

No time: :math:`\Delta t\mathrm{=}{10}^{\mathrm{-}5}s`

Observation time: :math:`\mathrm{0,03}s`


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

Number of knots: 5

Number of meshes and type: 4 meshes SEG2


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


* Move to the middle point :math:`B`


.. csv-table::

    "**Time**
    (:math:`s`)", "**Move**
    **Reference** (:math:`m`)"
    "0.0054", "87.376 e—3"
    "0.0055", "87,360 e—3"
    "0.0108", "26.818 e—3"
    "0.0109", "26,800 e—3"
    "0.0163", "64.386 e—3"
    "0.0164", "64.366 e—3"
    "0.0217", "41.083 e—3"
    "0.0218", "41.084 e—3"
    "0.0271", "55.525 e—3"
    "0.0272", "55.530 e—3"