Modeling A ============== Characteristics of modeling ----------------------------------- 2 POU_D_TGM elements per section type. There are therefore 2 groups of elements each comprising 2 elements. +-----------------------------------+---------------------+------------------------------------------------------------+ |Group |:math:`\mathrm{GR1}`:|rectangular section | +-----------------------------------+---------------------+------------------------------------------------------------+ | |:math:`\mathrm{GC1}`:|circular section | +-----------------------------------+---------------------+------------------------------------------------------------+ |Simple traction with work hardening |on :math:`\mathrm{GR1}` and :math:`\mathrm{GC1}` (ECRO_LINE)| +-----------------------------------+---------------------+------------------------------------------------------------+ |Pure bending without work hardening |on :math:`\mathrm{GR1}` and :math:`\mathrm{GC1}` (ECRO_LINE)| +-----------------------------------+---------------------+------------------------------------------------------------+ |Elasticity |on :math:`\mathrm{GR1}` and :math:`\mathrm{GC1}` | +-----------------------------------+---------------------+------------------------------------------------------------+ Characteristics of the mesh ---------------------------- * Beam mesh :math:`2\times 2` elements POU_D_TGM * Meshing the sections +-------------------------------------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------+ | | | + .. image:: images/100002000000012C00000119D510D3CE2C63BC04.png + .. image:: images/10000200000001EA000000FCD70060B38983D1F0.png + | :width: 1.972in | :width: 3.1535in | + :height: 1.9055in + :height: 1.7945in + | | | + 111 knots, 188 TRIA3 + 231 knots, 200 QUAD4 + | | | +-------------------------------------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------+ Tested sizes and results ------------------------------ * Single pull (with :math:`{\mathrm{DX}}^{e}=0.75E-03`) +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ |:math:`{\mathrm{DX}}_{(B)}`|**Order Number**|**GROUP_MA**|**NOEUD**|**Identification** |**Reference Type**|**Reference** |**Tolerance** | +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ |:math:`2{\mathrm{DX}}^{e}` |11 |GR1 |R3 |EFGE_ELNO |N |ANALYTIQUE |:math:`3.E+06` |:math:`0.10\text{\%}`| +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |GR1 |R3 |EFGE_ELNO |N |ANALYTIQUE |:math:`3.E+06` |:math:`0.10\text{\%}`| +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ |:math:`2{\mathrm{DX}}^{e}` |11 |GC1 |C3 |EFGE_ELNO |N |ANALYTIQUE |:math:`4.82E+06` |:math:`2.5\text{\%}` | +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |GC1 |C3 |EFGE_ELNO |N |ANALYTIQUE |:math:`4.87E+06` |:math:`2.5\text{\%}` | +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |GC1 |C3 |DEGE_ELNO |EPXX|ANALYTIQUE |:math:`2.25E\mathrm{-}03`|:math:`0.10\text{\%}`| +---------------------------+----------------+------------+---------+------------------+----+------------------+-------------------------+---------------------+ +---------------------------+----------------+----------+---------+-------------+------------------+--+------------------+------------------------+--------------------+ |:math:`{\mathrm{DX}}_{(B)}`|**Order Number**|**MAILLE**|**Point**|**Sub-point**|**Identification** |**Reference Type**|**Reference** |**Tolerance** | +---------------------------+----------------+----------+---------+-------------+------------------+--+------------------+------------------------+--------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |SR1 |1 |1 |VARI_ELGA |V1|ANALYTIQUE |:math:`1.5E\mathrm{-}03`|:math:`0.1\text{\%}`| +---------------------------+----------------+----------+---------+-------------+------------------+--+------------------+------------------------+--------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |SC1 |1 |1 |VARI_ELGA |V1|ANALYTIQUE |:math:`1.5E\mathrm{-}03`|:math:`1.5\text{\%}`| +---------------------------+----------------+----------+---------+-------------+------------------+--+------------------+------------------------+--------------------+ +---------------------------+----------------+------------+---------+------------------+--+------------------+----------------+---------------------+ |:math:`{\mathrm{DX}}_{(B)}`|**Order Number**|**GROUP_MA**|**NOEUD**|**Identification** |**Reference Type**|**Reference** |**Tolerance** | +---------------------------+----------------+------------+---------+------------------+--+------------------+----------------+---------------------+ |:math:`2{\mathrm{DX}}^{e}` |11 |GR1 |R3 |REAC_NODA |DX|ANALYTIQUE |:math:`3.E+06` |:math:`0.10\text{\%}`| +---------------------------+----------------+------------+---------+------------------+--+------------------+----------------+---------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |GR1 |R3 |REAC_NODA |DX|ANALYTIQUE |:math:`3.E+06` |:math:`0.10\text{\%}`| +---------------------------+----------------+------------+---------+------------------+--+------------------+----------------+---------------------+ |:math:`2{\mathrm{DX}}^{e}` |11 |GC1 |C3 |REAC_NODA |DX|ANALYTIQUE |:math:`4.82E+06`|:math:`2.5\text{\%}` | +---------------------------+----------------+------------+---------+------------------+--+------------------+----------------+---------------------+ |:math:`3{\mathrm{DX}}^{e}` |21 |GC1 |C3 |REAC_NODA |DX|ANALYTIQUE |:math:`4.87E+06`|:math:`2.5\text{\%}` | +---------------------------+----------------+------------+---------+------------------+--+------------------+----------------+---------------------+ * Pure flex (with :math:`{\mathrm{DRZ}}^{e}=0.75E-02`) .. csv-table:: ":math:`{\mathrm{DRZ}}_{(B)}` ", "**Order Number**", "**GROUP_MA**", "****", "**NOEUD**", "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance**" ":math:`{\mathrm{DRZ}}^{e}` ", "1"," GR1 ", "R3", "R3"," MFZ (:math:`\mathrm{Nm}`)", "ANALYTIQUE "," :math:`1.0E+05` "," :math:`0.5\text{\%}`" ":math:`5{\mathrm{DRZ}}^{e}` ", "21"," GR1 ", "R3", "R3"," MFZ "," ANALYTIQUE "," :math:`1.48E+05` "," :math:`1.0\text{\%}`" ":math:`10{\mathrm{DRZ}}^{e}` ", "31"," GR1 ", "R3", "R3"," MFZ "," ANALYTIQUE "," :math:`1.495E+05` "," :math:`1.0\text{\%}`" ":math:`20{\mathit{DRZ}}^{e}` ", "41"," GR1 ", "R3", "R3"," MFZ "," ANALYTIQUE "," :math:`1.499E+05` "," :math:`1.0\text{\%}`" ":math:`\mathrm{-}2.{\mathit{DRZ}}^{e}` ", "71"," GR1 ", "R3", "R3"," MFZ "," ANALYTIQUE "," :math:`\mathrm{-}1.5E+05` "," :math:`1.0\text{\%}`" ":math:`10{\mathrm{DRZ}}^{e}` ", "31"," GR1 ", "R3", "R3", "KZ", "ANALYTIQUE "," :math:`0.075` "," :math:`0.1\text{\%}`" ":math:`{\mathrm{DRZ}}^{e}` ", "1"," GC1 ", "C3", "C3"," MFZ "," ANALYTIQUE "," :math:`1.178E+05` "," :math:`2.5\text{\%}`" ":math:`5{\mathrm{DRZ}}^{e}` ", "21"," GC1 ", "C3", "C3"," MFZ "," ANALYTIQUE "," :math:`1.96E+05` "," :math:`2.0\text{\%}`" ":math:`10{\mathrm{DRZ}}^{e}` ", "31"," GC1 ", "C3", "C3"," MFZ "," ANALYTIQUE "," :math:`1.99E+05` "," :math:`1.5\text{\%}`" ":math:`20{\mathrm{DRZ}}^{e}` ", "41"," GC1 ", "C3", "C3"," MFZ "," ANALYTIQUE "," :math:`1.998E+05` "," :math:`1.5\text{\%}`" ":math:`\mathrm{-}2.{\mathit{DRZ}}^{e}` ", "71"," GC1 ", "C3", "C3"," MFZ "," ANALYTIQUE "," :math:`\mathrm{-}2.0E+05` "," :math:`2.0\text{\%}`" +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`{\mathrm{DX}}_{(B)}` |**Order Number**|**GROUP_MA**|**NOEUD**|**Identification** |**Reference Type**|**Reference** |**Tolerance** | +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`{\mathrm{DRZ}}^{e}` |1 |GR1 |R3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.0E+05` |:math:`0.2\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`5{\mathrm{DRZ}}^{e}` |21 |GR1 |R3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.48E+05` |:math:`1.0\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`10{\mathrm{DRZ}}^{e}`|31 |GR1 |R3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.495E+05`|:math:`1.0\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`20{\mathit{DRZ}}^{e}`|41 |GR1 |R3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.499E+06`|:math:`1.0\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`{\mathrm{DRZ}}^{e}` |1 |GC1 |C3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.178E+05`|:math:`2.5\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`5{\mathrm{DRZ}}^{e}` |21 |GC1 |C3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.96E+05` |:math:`2.0\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`10{\mathrm{DRZ}}^{e}`|31 |GC1 |C3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.99E+05` |:math:`1.5\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+ |:math:`20{\mathit{DRZ}}^{e}`|41 |GC1 |C3 |REAC_NODA |DRZ|ANALYTIQUE |:math:`1.998E+06`|:math:`1.5\text{\%}`| +----------------------------+----------------+------------+---------+------------------+---+------------------+-----------------+--------------------+