Modeling A ============== Characteristics of modeling ----------------------------------- .. image:: images/Shape2.gif .. _RefSchema_Shape2.gif: 35° 48.24° NO. 1 .. image:: images/Shape11.gif .. _RefSchema_Shape11.gif: X Y O Characteristics of the mesh ---------------------------- Number of knots: 75 Number of meshes and type: 28 QUAD4 **56** TRIA3 Tested sizes and results ------------------------------ Modeling DKT The quantities are expressed in the coordinate system :math:`xoy` +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ |Maille |Bow |Grandeur |Reference type|Reference |Tolerance | +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ |:math:`\mathit{M119}`|:math:`\mathit{N1}`|EFGE_ELNO|:math:`\mathit{NXX}`|'ANALYTIQUE' |:math:`1.25\mathrm{\times }{10}^{6}N\mathrm{/}m` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'ANALYTIQUE' |:math:`\mathrm{-}7.8125\mathrm{\times }{10}^{5}N`|:math:`0.01\text{\%}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}4}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'ANALYTIQUE' |:math:`0.0` |:math:`50` | +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ |:math:`\mathit{M92}` |:math:`\mathit{N4}`|EFGE_ELNO|:math:`\mathit{NXX}`|'ANALYTIQUE' |:math:`1.25\mathrm{\times }{10}^{6}N\mathrm{/}m` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'ANALYTIQUE' |:math:`\mathrm{-}7.8125\mathrm{\times }{10}^{5}N`|:math:`5.\text{\%}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'ANALYTIQUE' |:math:`0.0` |:math:`300` | +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ The quantities are expressed in the coordinate system :math:`{x}_{1}{o}_{1}{y}_{1}` +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ |Maille |Bow |Grandeur |Reference type|Reference |Tolerance | +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ |:math:`\mathit{M119}`|:math:`\mathit{N1}`|EFGE_ELNO|:math:`\mathit{NXX}`|'ANALYTIQUE' |:math:`1.25\mathrm{\times }{10}^{6}N\mathrm{/}m` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'ANALYTIQUE' |:math:`\mathrm{-}7.8125\mathrm{\times }{10}^{5}N`|:math:`0.01\text{\%}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'ANALYTIQUE' |:math:`0.0` |:math:`{10}^{\mathrm{-}6}` | + + + +--------------------+--------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'ANALYTIQUE' |:math:`0.0` |:math:`50` | +---------------------+-------------------+---------+--------------------+--------------+-------------------------------------------------+---------------------------+ The quantities are expressed in the coordinate system :math:`{x}_{2}{o}_{2}{y}_{2}` +--------------------+-------------------+---------+--------------------+--------------+--------------------------------------------------+--------------------------+ |Maille |Bow |Grandeur |Reference type|Reference |Tolerance | +--------------------+-------------------+---------+--------------------+--------------+--------------------------------------------------+--------------------------+ |:math:`\mathit{M92}`|:math:`\mathit{N4}`|EFGE_ELNO|:math:`\mathit{NXX}`|'ANALYTIQUE' |:math:`5.4471\mathrm{\times }{10}^{5}N\mathrm{/}m`|:math:`{10}^{\mathrm{-}4}`| + + + +--------------------+--------------+--------------------------------------------------+--------------------------+ | | | |:math:`\mathit{NYY}`|'ANALYTIQUE' |:math:`6.9553\mathrm{\times }{10}^{5}N\mathrm{/}m`|:math:`{10}^{\mathrm{-}4}`| + + + +--------------------+--------------+--------------------------------------------------+--------------------------+ | | | |:math:`\mathit{NXY}`|'ANALYTIQUE' |:math:`6.2101\mathrm{\times }{10}^{5}N\mathrm{/}m`|:math:`{10}^{\mathrm{-}4}`| + + + +--------------------+--------------+--------------------------------------------------+--------------------------+ | | | |:math:`\mathit{MXX}`|'ANALYTIQUE' |:math:`\mathrm{-}3.4654\mathrm{\times }{10}^{5}N` |:math:`{10}^{\mathrm{-}2}`| + + + +--------------------+--------------+--------------------------------------------------+--------------------------+ | | | |:math:`\mathit{MYY}`|'ANALYTIQUE' |:math:`\mathrm{-}4.3471\mathrm{\times }{10}^{5}N` |:math:`{10}^{\mathrm{-}2}`| + + + +--------------------+--------------+--------------------------------------------------+--------------------------+ | | | |:math:`\mathit{MXY}`|'ANALYTIQUE' |:math:`\mathrm{-}3.8813\mathrm{\times }{10}^{5}N` |:math:`{10}^{\mathrm{-}2}`| +--------------------+-------------------+---------+--------------------+--------------+--------------------------------------------------+--------------------------+ Q4GG modeling The quantities are expressed in the coordinate system :math:`xoy` +---------------------+---------+---------+--------------------+----------------+--------------------------------------------------+---------------------------+ |Maille |Point |Grandeur |Reference type |Reference |Tolerance | +---------------------+---------+---------+--------------------+----------------+--------------------------------------------------+---------------------------+ |:math:`\mathit{M119}`|:math:`3`|SIEF_ELGA|:math:`\mathit{NXX}`|'NON_REGRESSION'|:math:`1.25\mathrm{\times }{10}^{6}N\mathrm{/}m` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'NON_REGRESSION'|:math:`\mathrm{-}7.53348\mathrm{\times }{10}^{5}N`|:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| +---------------------+---------+---------+--------------------+----------------+--------------------------------------------------+---------------------------+ |:math:`\mathit{M92}` |:math:`1`|SIEF_ELGA|:math:`\mathit{NXX}`|'NON_REGRESSION'|:math:`1.25\mathrm{\times }{10}^{6}N\mathrm{/}m` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'NON_REGRESSION'|:math:`\mathrm{-}7.53349\mathrm{\times }{10}^{5}N`|:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+--------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| +---------------------+---------+---------+--------------------+----------------+--------------------------------------------------+---------------------------+ The quantities are expressed in the coordinate system :math:`{x}_{1}{o}_{1}{y}_{1}` +---------------------+---------+---------+--------------------+----------------+-------------------------------------------------+---------------------------+ |Maille |Point |Grandeur |Reference type |Reference |Tolerance | +---------------------+---------+---------+--------------------+----------------+-------------------------------------------------+---------------------------+ |:math:`\mathit{M119}`|:math:`3`|SIEF_ELGA|:math:`\mathit{NXX}`|'NON_REGRESSION'|:math:`1.25\mathrm{\times }{10}^{6}N\mathrm{/}m` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'NON_REGRESSION'|:math:`\mathrm{-}7.5346\mathrm{\times }{10}^{5}N`|:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+-------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'NON_REGRESSION'|:math:`0.0` |:math:`{10}^{\mathrm{-}10}`| +---------------------+---------+---------+--------------------+----------------+-------------------------------------------------+---------------------------+ The quantities are expressed in the coordinate system :math:`{x}_{2}{o}_{2}{y}_{2}` +--------------------+---------+---------+--------------------+----------------+---------------------------------------------------+---------------------------+ |Maille |Point |Grandeur |Reference type |Reference |Tolerance | +--------------------+---------+---------+--------------------+----------------+---------------------------------------------------+---------------------------+ |:math:`\mathit{M92}`|:math:`1`|SIEF_ELGA|:math:`\mathit{NXX}`|'NON_REGRESSION'|:math:`5.54471\mathrm{\times }{10}^{5}N\mathrm{/}m`|:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+---------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NYY}`|'NON_REGRESSION'|:math:`6.95529\mathrm{\times }{10}^{5}N\mathrm{/}m`|:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+---------------------------------------------------+---------------------------+ | | | |:math:`\mathit{NXY}`|'NON_REGRESSION'|:math:`6.21007\mathrm{\times }{10}^{5}N\mathrm{/}m`|:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+---------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXX}`|'NON_REGRESSION'|:math:`\mathrm{-}3.34169\mathrm{\times }{10}^{5}N` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+---------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MYY}`|'NON_REGRESSION'|:math:`\mathrm{-}4.19180\mathrm{\times }{10}^{5}N` |:math:`{10}^{\mathrm{-}10}`| + + + +--------------------+----------------+---------------------------------------------------+---------------------------+ | | | |:math:`\mathit{MXY}`|'NON_REGRESSION'|:math:`\mathrm{-}3.74269\mathrm{\times }{10}^{5}N` |:math:`{10}^{\mathrm{-}10}`| +--------------------+---------+---------+--------------------+----------------+---------------------------------------------------+---------------------------+