Modélisation A ============== Caractéristiques de la modélisation ----------------------------------- .. image:: images/Object_2.svg :width: 334 :height: 485 .. _RefImage_Object_2.svg: Caractéristiques du maillage et du modèle éléments finis -------------------------------------------------------- Le maillage est constitué de 1860 nœuds et de 1800 mailles quadrangulaires sur lesquelles sont affectés des éléments coque DKT. Grandeurs testées et résultats ------------------------------ Fréquences propres :math:`(\mathit{Hz})` Seules les fréquences et modes ayant une masse effective supérieure à :math:`\text{0.1\%}` sont indiquées dans le tableau ci-dessous. .. csv-table:: "**Numéro du mode**", "**Réf** **(SAMCEF)**", "**Code_Aster**", "**Écart** **entre SAMCEF et** **Code_Aster** **en %**" "1 (47)", "2.80058", "2.80065", "0.003" "2 (48)", "2.80058", "2.80065", "0.003" "3 (158)", "5.92549", "5.92490", "-0.010" "4 (159)", "5.92549", "5.92490", "-0.010" Ces quatre modes permettent d’obtenir une bonne représentation de la masse dans la direction d’excitation puisque les masses effectivescumulées suivant les directions :math:`x` et :math:`y` s’élèvent à :math:`\text{83.2\%}` . Déplacement horizontal :math:`x(m)` : +--------------+-----------------------------------+-----------------------------+-------------------------+ | **Altitude** | **CA** ST **EM 2000** | **Code_Aster** | **Écart (%)** | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | (m) | CQC | SRSS | CQC | SRSS | CQC | SRSS | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 13.3 | 1.318E-03 | 1.316E-03 | 1.538 E-03 | 1.432 E-03 | 16.653 | 8.740 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 26.8 | 1.484E-03 | 1.485E-03 | 2.853 E-03 | 2.669 E-03 | 92.155 | 79.744 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 40.3 | 1.898E-03 | 1.898E-03 | 4.456 E-03 | 4.249 E-03 | 134.714 | 123.819 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 49.4 | 2.4448E-03 | 2.442E-03 | 5.693 E-03 | 5.495 E-03 | 132.872 | 124.948 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 63.08 | 3.278E-03 | 3.275E-03 | 7.822 E-03 | 7.657 E-03 | 138.603 | 133.751 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 76.8 | 4.570E-03 | 4.568E-03 | 1.026 E-02 | 1.014 E-02 | 124.510 | 121.860 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 90.7 | 5.918E-03 | 5.918E-03 | 1.293 E-02 | 1.283 E-02 | 118.516 | 116.802 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 100 | 7.023E-03 | 7.024E-03 | 1.477 E-02 | 1.467 E-02 | 110.294 | 108.862 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 109.3 | 7.677E-03 | 7.677E-03 | 1.658 E-02 | 1.648 E-02 | 115.998 | 114.614 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ | 127.9 | 9.053E-03 | 9.054E-03 | 1.990 E-02 | 1.975 E-02 | 119.818 | 118.117 | +--------------+-----------------------+-----------+----------------+------------+---------------+---------+ Déplacement vertical :math:`z(m)` : +--------------+-----------------------------+-----------------------------+-------------------------+ | **Altitude** | **CASTEM 2000** | **Code_Aster** | **Écart (%)** | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | (m) | CQC | SRSS | CQC | SRSS | CQC | SRSS | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 13.3 | 4.534E-04 | 4.540E-04 | 8.297 E-04 | 8.101 E-04 | 82.955 | 78.407 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 26.8 | 6.832E-04 | 6.832E-04 | 1.712 E-03 | 1.674 E-03 | 150.528 | 145.025 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 40.3 | 1.091E-03 | 1.091E-03 | 2.464 E-03 | 2.408 E-03 | 125.872 | 120.680 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 49.4 | 1.510E-03 | 1.510E-03 | 2.892 E-03 | 2.823 E-03 | 91.521 | 86.877 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 63.08 | 1.794E-03 | 1.795E-03 | 3.424 E-03 | 3.337 E-03 | 90.769 | 85.848 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 76.8 | 1.944E-03 | 1.945E-03 | 3.840 E-03 | 3.737 E-03 | 97.437 | 92.035 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 90.7 | 2.024E-03 | 2.025E-03 | 4.173 E-03 | 4.056 E-03 | 106.143 | 100.213 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 100 | 2.114E-03 | 2.115E-03 | 4.372 E-03 | 4.244 E-03 | 106.767 | 100.630 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 109.3 | 2.187E-03 | 2.188E-03 | 4.564 E-03 | 4.427 E-03 | 108.645 | 102.266 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ | 127.9 | 2.356E-03 | 2.358E-03 | 4.959 E-03 | 4.803 E-03 | 110.427 | 103.663 | +--------------+-----------------+-----------+----------------+------------+---------------+---------+ Remarques --------- Le calcul est effectué sans la prise en compte des modes négligés. Dans la direction :math:`Z` , un seul mode, n°196, de fréquence inférieure à :math:`7\mathit{Hz}` a une masse effective supérieure à :math:`0.1\text{\%}`