Modeling A ============== Characteristics of modeling ----------------------------------- 439 POU_D_T Characteristics of the mesh ---------------------------- Number of knots: 440 Number of meshes and type: 339 SEG2 and 6 SEG2 (DIS_T) **Note:** Care must be taken to correctly order the groups of nodes on which temperature measurements and average calculations are carried out. Tested sizes and results ------------------------------ In order to correctly validate the fatigue calculation, it is ensured that the results of the mechanical calculations are sufficiently close to the reference. Natural frequencies of the empty line: .. csv-table:: "**Mode Number**", "**Reference**", "**Aster**", ":math:`\text{\%}` **difference**" "1", "5.059", "5.05799", "0.02" "2", "6.023", "5.98255", "0.67" "3", "6.866", "6.86007", "0.09" "4", "8,204", "8,20337", "0,01" "5", "9.733", "9.73339", "0.00" "6", "9.987", "9.95736", "0.30" "7", "16.535", "16.4647", "0.43" "8", "17,329", "17,326", "0.02" "9", "18.282", "18.2823", "0.00" "10", "19.004", "18.996", "0.04" "11", "20,271", "20,2708", "0,00" Efforts (moments) at node N1 +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |NO. 1 |**Reference** |**Aster** |:math:`\text{\%}` **difference** | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |Charging case|:math:`\mathit{Mx}` (:math:`\mathit{N.m}`)|:math:`\mathit{My}` (:math:`\mathit{N.m}`)|:math:`\mathit{Mz}` (:math:`\mathit{N.m}`)|:math:`\mathit{Mx}` (:math:`\mathit{N.m}`)|:math:`\mathit{My}` (:math:`\mathit{N.m}`)|:math:`\mathit{Mz}` (:math:`\mathit{N.m}`)|:math:`\mathit{Mx}` |:math:`\mathit{My}`|:math:`\mathit{Mz}`| +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |1 |5947 |4412.5 |—5526 |5985.5 |4440.76 |—5561.92 |—0.65 |—0.64 |—0.65 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |2 |—41084 |—25691 |91767.3 |—41041.6 |—25659.6 |91727.2 |0.10 |0.12 |0.04 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |3 |—34253 |—20695.4 |83346.2 |—34212.8 |—20665.9 |83307.7 |0.12 |0.14 |0.05 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |5 |—32752 |—19577 |81995.4 |—32802.8 |—19615.8 |82041.5 |—0.16 |—0.20 |—0.06 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |5 |—40330 |—25129 |91089.6 |—40335.5 |—25133.6 |91094.1 |—0.01 |—0.02 |0,00 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |6 |—34565 |—20927.8 |83624.6 |—34565.3 |—20928.5 |83624.3 |0,00 |0,00 |0,00 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |7 |—42718 |—26884 |93803.2 |—42664.3 |—26845.2 |93752.5 |0.13 |0.14 |0.05 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |8 |—38457 |—23711 |89984.4 |—38426.1 |—23688.3 |89954 |0.08 |0.10 |0.03 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |10 |—43556 |—28408.2 |86848.7 |—43537.4 |—28394.9 |86830 |0.04 |0.05 |0.02 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |12 |—44175 |—28868.5 |87403.1 |—44232.3 |—28912.1 |87456.1 |—0.13 |—0.15 |—0.06 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ |14 |1381 |5671 |—3179 |1370 |5700 |—3320 |0.59 |—0.54 |—4.45 | +-------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+------------------------------------------+--------------------------------+-------------------+-------------------+ +------------------------------------------+---------------------------------------------------------------------------------------------------+-------------+------------------------------------------+---------------------------------------------------------------------------------------------------+------------------------+--------------------------------------------------------------------------------------------------------+ |**Reference** | |**N** 1 |**Aster** |:math:`\text{\%}` **difference** | +------------------------------------------+---------------------------------------------------------------------------------------------------+-------------+------------------------------------------+---------------------------------------------------------------------------------------------------+------------------------+--------------------------------------------------------------------------------------------------------+ |:math:`\mathit{Mx}` (:math:`\mathit{N.m}`)|:math:`\mathrm{\mid }\mathrm{\mid }{\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mathrm{\mid }\mathrm{\mid }`|Charging case|:math:`\mathit{Mx}` (:math:`\mathit{N.m}`)|:math:`\mathrm{\mid }\mathrm{\mid }{\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mathrm{\mid }\mathrm{\mid }`|Diff :math:`\mathit{Mx}`|Diff :math:`\mathrm{\mid }\mathrm{\mid }{\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mathrm{\mid }\mathrm{\mid }`| +------------------------------------------+---------------------------------------------------------------------------------------------------+-------------+------------------------------------------+---------------------------------------------------------------------------------------------------+------------------------+--------------------------------------------------------------------------------------------------------+ |240269 |108501 |Earthquake |239009 |108167 |0.52 |0.31 | +------------------------------------------+---------------------------------------------------------------------------------------------------+-------------+------------------------------------------+---------------------------------------------------------------------------------------------------+------------------------+--------------------------------------------------------------------------------------------------------+ Thermal calculations: +-----------------+--------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------+--------------------------------+ | |**Reference** |**Aster** |:math:`\text{\%}` **difference**| +-----------------+--------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------+--------------------------------+ |Thermal transient| | | | + + .. image:: images/Object_8.svg + .. image:: images/Object_9.svg + + | | :width: 57 | :width: 58 | | + + :height: 22 + :height: 25 + + | | | | | + + :math:`°C` + :math:`°C` right side + + | | | | | +-----------------+--------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------+--------------------------------+ |2 |0.741 |0.719 |3 | +-----------------+--------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------+--------------------------------+ |6 |15.48 |15.38 |3 | +-----------------+--------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------+--------------------------------+ +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ | |**Reference** |**Aster** |:math:`\text{\%}` **difference**| +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ |Thermal transient| | | | + + .. image:: images/Object_10.svg + .. image:: images/Object_11.svg + + | | :width: 57 | :width: 58 | | + + :height: 22 + :height: 25 + + | | | | | + + right side + right side + + | | | | | +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ |2 |1.043 |1.8 |73 | +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ |6 |5.99 |9.34 |56 | +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ | |**Reference** |**Aster** |:math:`\text{\%}` **difference**| +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ |Thermal transient| | | | + + .. image:: images/Object_12.svg + .. image:: images/Object_13.svg + + | | :width: 57 | :width: 58 | | + + :height: 22 + :height: 25 + + | | | | | + + elbow side + elbow side + + | | | | | +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ |2 |1.445 |2.4 |65 | +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ |6 |5.69 |8.8 |54 | +-----------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+--------------------------------+ **Note:** *Average temperatures are relatively different from the reference. This may be due to modeling (here axisymmetric, and* :math:`\mathrm{3D}` in [:ref:`bib2 `]). In practice, only the mean temperature difference between the elbow and the straight pipe is used in the stress calculations. Finally, the total cumulative use factor is equal to: .. csv-table:: "", "**Reference**", "**Aster**", ":math:`\text{\%}` **difference**" "Knot/Knit", "Use Factor", "Use Factor", "" ":math:`\mathit{N80}`, :math:`\mathit{M1}` ", "0.00648", "0.00648", "0.0079", "22"