Modélisation A ============== Caractéristiques de la modélisation ----------------------------------- 439 POU_D_T Caractéristiques du maillage ---------------------------- Nombre de nœuds: 440 Nombre de mailles et type: 339 SEG2 et 6 SEG2 (DIS_T) Remarque Il faut prendre garde à ordonner correctement les groupes de nœuds sur lesquels sont effectués les relevés de températures et les calculs de moyennes. Grandeurs testées et résultats ------------------------------ Afin de valider correctement le calcul de fatigue, on s’assure que les résultats des calculs mécaniques sont suffisamment proches de la référence. Fréquences propres de la ligne vide: .. csv-table:: "**Numero mode**", "**Référence**", "**Aster**", ":math:`\text{%}` **différence**" "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) au nœud N1 +---------------+-----------------------------------------------------------------------------+-----------------------------------------------------------------------------+------------------------------------------------------------------------------+ | N1 | **Référence** | **Aster** | :math:`\text{%}` **différence** | +---------------+-------------------------+-------------------------+-------------------------+-------------------------+-------------------------+-------------------------+----------------------------------+---------------------+---------------------+ | Cas de charge | :math:`\mathit{Mx}` | :math:`\mathit{My}` | :math:`\mathit{Mz}` | :math:`\mathit{Mx}` | :math:`\mathit{My}` | :math:`\mathit{Mz}` | :math:`\mathit{Mx}` | :math:`\mathit{My}` | :math:`\mathit{Mz}` | | | (:math:`\mathit{N.m}` ) | (:math:`\mathit{N.m}` ) | (:math:`\mathit{N.m}` ) | (:math:`\mathit{N.m}` ) | (:math:`\mathit{N.m}` ) | (:math:`\mathit{N.m}` ) | | | | +---------------+-------------------------+-------------------------+-------------------------+-------------------------+-------------------------+-------------------------+----------------------------------+---------------------+---------------------+ | 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 | +---------------+-------------------------+-------------------------+-------------------------+-------------------------+-------------------------+-------------------------+----------------------------------+---------------------+---------------------+ +---------------------------------------------+-----------------------------------------------------------------------------------------------------+---------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------+ | **Référence** | | **N** 1 | **Aster** | :math:`\text{%}` **différence** | +---------------------------------------------+-----------------------------------------------------------------------------------------------------+---------------+---------------------------------------------+-----------------------------------------------------------------------------------------------------+--------------------------+----------------------------------------------------------------------------------------------------------+ | :math:`\mathit{Mx}` (:math:`\mathit{N.m}` ) | :math:`\mid \mid {\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mid \mid` | Cas de charge | :math:`\mathit{Mx}` (:math:`\mathit{N.m}` ) | :math:`\mid \mid {\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mid \mid` | Diff :math:`\mathit{Mx}` | Diff :math:`\mid \mid {\mathit{Mx}}^{2}+{\mathit{My}}^{2}\mid \mid` | +---------------------------------------------+-----------------------------------------------------------------------------------------------------+---------------+---------------------------------------------+-----------------------------------------------------------------------------------------------------+--------------------------+----------------------------------------------------------------------------------------------------------+ | 240269 | 108501 | seisme | 239009 | 108167 | 0,52 | 0,31 | +---------------------------------------------+-----------------------------------------------------------------------------------------------------+---------------+---------------------------------------------+-----------------------------------------------------------------------------------------------------+--------------------------+----------------------------------------------------------------------------------------------------------+ Calculs thermiques: +----------------------+--------------------------------+--------------------------------+----------------------------------+ | | **Référence** | **Aster** | :math:`\text{%}` **différence** | +----------------------+--------------------------------+--------------------------------+----------------------------------+ |Transitoire thermique | :math:`\Delta T_{1}(i,j)` | :math:`\Delta T_{1}(i,j)` | | | | :math:`°C` | :math:`°C` côté droit | | +----------------------+--------------------------------+--------------------------------+----------------------------------+ | 2 | 0.741 | 0.719 | 3 | +----------------------+--------------------------------+--------------------------------+----------------------------------+ | 6 | 15.48 | 15.38 | 3 | +----------------------+--------------------------------+--------------------------------+----------------------------------+ +----------------------+---------------------------------+---------------------------------+----------------------------------+ | | **Référence** | **Aster** | :math:`\text{%}` **différence** | +----------------------+---------------------------------+---------------------------------+----------------------------------+ |Transitoire thermique | :math:`T_{\text{moy}}(i,j)` | :math:`T_{\text{moy}}(i,j)` | | | | côté droit | côté droit | | +----------------------+---------------------------------+---------------------------------+----------------------------------+ | 2 | 1.043 | 1.8 | 73 | +----------------------+---------------------------------+---------------------------------+----------------------------------+ | 6 | 5.99 | 9.34 | 56 | +----------------------+---------------------------------+---------------------------------+----------------------------------+ +----------------------+---------------------------------+---------------------------------+----------------------------------+ | | **Référence** | **Aster** | :math:`\text{%}` **différence** | +----------------------+---------------------------------+---------------------------------+----------------------------------+ |Transitoire thermique | :math:`T_{\text{moy}}(i,j)` | :math:`T_{\text{moy}}(i,j)` | | | | côté coude | côté coude | | +----------------------+---------------------------------+---------------------------------+----------------------------------+ | 2 | 1.445 | 2.4 | 65 | +----------------------+---------------------------------+---------------------------------+----------------------------------+ | 6 | 5.69 | 8.8 | 54 | +----------------------+---------------------------------+---------------------------------+----------------------------------+ Remarque Les températures moyennes sont relativement différentes de la référence. Ceci peut être dû à la modélisation (ici axisymétrique, et :math:`\mathrm{3D}` dans la note. En pratique, seule la différence de température moyenne entre le coude et le tuyau droit intervient dans le calculs des contraintes. Finalement, le facteur d’usage total cumulé vaut: .. csv-table:: "", "**Référence**", "**Aster**", ":math:`\text{%}` **différence**" "Nœud / Maille", "Facteur d’usage", "Facteur d’usage", "" ":math:`\mathit{N80}` , :math:`\mathit{M1}`", "0.00648", "0.0079", "22"