Modélisation A ============== Caractéristiques de la modélisation ----------------------------------- Modélisation DISCRET (en 3D) .. image:: images/10000000000001DD000000D80B78E24099DBFCDD.png :width: 3.6693in :height: 1.6583in .. _RefImage_10000000000001DD000000D80B78E24099DBFCDD.png: Figure 3.1.a: géométrie. **Caractéristiques des éléments discrets** **Modélisation en** **3D** GROUP_MA Maille :math:`\mathrm{M1}` : Nœud :math:`\mathrm{N1}` à :math:`\mathrm{N2}` DIS_T DL_T Maille :math:`\mathrm{M2}` : Nœud :math:`\mathrm{N1}` à :math:`\mathrm{N3}` DIS_TR DL_TR Maille :math:`\mathrm{M3}` : Nœud :math:`\mathrm{N4}` DIS_T DN_T Maille :math:`\mathrm{M4}` : Nœud :math:`\mathrm{N5}` DIS_TR DN_TR Maille :math:`\mathrm{M10}` : Nœud :math:`\mathrm{N1}` à :math:`\mathrm{N20}` DIS_T DL_T0 Maille :math:`\mathrm{M30}` : Nœud :math:`\mathrm{N40}` DIS_T DN_T0 Le discret dl_t0 à les mêmes caractéristiques que dl_t, par contre son orientation est différente. CARA='ANGL_NAUT', VALE=(90.0,-90.0,0.0) L'effort :math:`N` est donc suivant l'axe :math:`Z` , l'effort :math:`\mathrm{VY}` suivant l'axe :math:`Z` et l'effort :math:`\mathrm{VZ}` suivant :math:`X` . Caractéristiques du maillage ---------------------------- Nombre de nœuds: 7, Nombre de mailles: 6, Éléments SEG2: 3, Éléments POI1: 3 Définition de la fonction de chargement --------------------------------------- .. csv-table:: "instants", "valeurs" "0.0", "0.000" "30.0", "1.000" "90.0", "-1.000" "145.0", "0.800" "180.0", "-0.450" "230.0", "1.150" "250.0", "0.500" "280.0", "1.450" Le pas choisi est de :math:`1.s` . Propriétés des discrets ----------------------- Le tableau ci-dessous donne pour toutes les directions sollicitées les caractéristiques des discrets. +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | | | | | | | | | | .. image:: images/Object_22.svg | .. image:: images/Object_23.svg | .. image:: images/Object_24.svg | .. image:: images/Object_25.svg | .. image:: images/Object_26.svg | | | | :width: 21 | :width: 22 | :width: 21 | :width: 19 | :width: 0.139in | | | | :height: 25 | :height: 24 | :height: 24 | :height: 24 | :height: 0.1528in | | | | | | | | | | | | | | | | | | | | .. _RefImage_Object_22.svg: | .. _RefImage_Object_23.svg: | .. _RefImage_Object_24.svg: | .. _RefImage_Object_25.svg: | .. _RefImage_Object_26.svg: | | | | | | | | | | | | LIMY_* | K_T* | LIMU_* | KCIN_* | PUIS_* | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | DL_T | dx | 1000.0 | 3400000.0 | 1000.0 | 700000.0 | 2.00 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | DL_T0 | dy | 1500.0 | 2000000.0 | 800.0 | 900000.0 | 1.50 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dz | 2000.0 | 2500000.0 | 800.0 | 700000.0 | 2.25 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | DN_T | dx | 1000.0 | 3400000.0 | 1000.0 | 700000.0 | 2.00 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dy | 1500.0 | 2000000.0 | 800.0 | 900000.0 | 1.50 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dz | 2000.0 | 2500000.0 | 800.0 | 700000.0 | 2.25 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | DL_TR | dx | 1000.0 | 3400000.0 | 1000.0 | 700000.0 | 2.00 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dy | 1500.0 | 2000000.0 | 800.0 | 900000.0 | 1.50 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dz | 2000.0 | 2500000.0 | 800.0 | 700000.0 | 2.25 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | rx | 3000.0 | 3000000.0 | 1000.0 | 600000.0 | 2.00 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | ry | 3500.0 | 2700000.0 | 1800.0 | 800000.0 | 1.50 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | rz | 2500.0 | 3200000.0 | 1400.0 | 850000.0 | 2.25 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | DN_TR | dx | 1000.0 | 3400000.0 | 1000.0 | 700000.0 | 2.00 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dy | 1500.0 | 2000000.0 | 800.0 | 900000.0 | 1.50 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dz | 2000.0 | 2500000.0 | 800.0 | 700000.0 | 2.25 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | rx | 3000.0 | 3000000.0 | 1000.0 | 600000.0 | 2.00 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | ry | 3500.0 | 2700000.0 | 1800.0 | 800000.0 | 1.50 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | rz | 2500.0 | 3200000.0 | 1400.0 | 850000.0 | 2.25 | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | DN_T0 | dx | 1000.0 | 3400000.0 | | 700000.0 | | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dy | 1500.0 | 2000000.0 | | 900000.0 | | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ | | dz | 2000.0 | 2500000.0 | | 700000.0 | | +-------+----+---------------------------------+---------------------------------+---------------------------------+---------------------------------+---------------------------------+ Grandeurs testées et résultats ------------------------------ .. csv-table:: "GROUP_MA", "Effort", "Instant", "Effort Référence", "Effort Code_Aster", "Erreur" "DN_TR", "N", "30.000", "1635.707253", "1635.707253", "-8.4900e-11" "DN_TR", "N", "90.000", "-1635.707253", "-1635.707253", "-8.4900e-11" "DN_TR", "N", "145.000", "1525.492881", "1525.492881", "-1.8200e-10" "DN_TR", "N", "180.000", "-1249.231871", "-1249.231871", "1.4500e-11" "DN_TR", "N", "230.000", "1699.177353", "1699.177353", "-1.6000e-10" "DN_TR", "N", "250.000", "-415.381013", "-415.381013", "-1.1200e-10" "DN_TR", "N", "280.000", "1789.595108", "1789.595108", "-4.9600e-11" "DN_TR", "VY", "30.000", "2224.098875", "2224.098875", "-4.9400e-12" "DN_TR", "VY", "90.000", "-2224.098875", "-2224.098875", "-4.9400e-12" "DN_TR", "VY", "145.000", "2190.040518", "2190.040518", "-1.0900e-10" "DN_TR", "VY", "180.000", "-2017.290415", "-2017.290415", "-1.5500e-10" "DN_TR", "VY", "230.000", "2239.745512", "2239.745512", "-6.2600e-12" "DN_TR", "VY", "250.000", "-790.397664", "-790.397663", "-3.5800e-11" "DN_TR", "VY", "280.000", "2258.782745", "2258.782745", "1.0400e-10" "DN_TR", "VZ", "30.000", "2767.252580", "2767.252580", "-7.5200e-11" "DN_TR", "VZ", "90.000", "-2767.252580", "-2767.252580", "-7.5200e-11" "DN_TR", "VZ", "145.000", "2740.932239", "2740.932239", "1.8200e-10" "DN_TR", "VZ", "180.000", "-2547.183658", "-2547.183658", "2.5800e-11" "DN_TR", "VZ", "230.000", "2777.276300", "2777.276300", "-1.5700e-10" "DN_TR", "VZ", "250.000", "-1243.236082", "-1243.236082", "-9.2100e-11" "DN_TR", "VZ", "280.000", "2787.481342", "2787.481342", "7.7000e-11" "DN_TR", "MFY", "30.000", "5022.231028", "5022.231028", "9.6800e-11" "DN_TR", "MFY", "90.000", "-5022.231028", "-5022.231028", "9.6800e-11" "DN_TR", "MFY", "145.000", "4911.499221", "4911.499221", "8.9600e-11" "DN_TR", "MFY", "180.000", "-4443.221450", "-4443.221450", "-4.3200e-12" "DN_TR", "MFY", "230.000", "5075.752629", "5075.752629", "3.5200e-12" "DN_TR", "MFY", "250.000", "-2025.828992", "-2025.828992", "-8.7200e-11" "DN_TR", "MFY", "280.000", "5143.339483", "5143.339483", "-4.7600e-11" "DN_TR", "MFZ", "30.000", "3773.863680", "3773.863680", "4.0200e-11" "DN_TR", "MFZ", "90.000", "-3773.863680", "-3773.863680", "4.0200e-11" "DN_TR", "MFZ", "145.000", "3686.099695", "3686.099695", "-2.8500e-11" "DN_TR", "MFZ", "180.000", "-3236.583886", "-3236.583886", "1.3700e-10" "DN_TR", "MFZ", "230.000", "3810.233618", "3810.233618", "6.2600e-11" "DN_TR", "MFZ", "250.000", "-1262.367026", "-1262.367026", "5.6200e-11" "DN_TR", "MFZ", "280.000", "3849.201624", "3849.201624", "-1.8600e-12" .. csv-table:: "GROUP_MA", "Effort", "Instant", "Effort Référence", "Effort Code_Aster", "Erreur" "DN_T", "N", "30.000", "1635.707253", "1635.707253", "-8.4900e-11" "DN_T", "N", "90.000", "-1635.707253", "-1635.707253", "-8.4900e-11" "DN_T", "N", "145.000", "1525.492881", "1525.492881", "-1.8200e-10" "DN_T", "N", "180.000", "-1249.231871", "-1249.231871", "1.4500e-11" "DN_T", "N", "230.000", "1699.177353", "1699.177353", "-1.6000e-10" "DN_T", "N", "250.000", "-415.381013", "-415.381013", "-1.1200e-10" "DN_T", "N", "280.000", "1789.595108", "1789.595108", "-4.9600e-11" "DN_T", "VY", "30.000", "2224.098875", "2224.098875", "-4.9400e-12" "DN_T", "VY", "90.000", "-2224.098875", "-2224.098875", "-4.9400e-12" "DN_T", "VY", "145.000", "2190.040518", "2190.040518", "-1.0900e-10" "DN_T", "VY", "180.000", "-2017.290415", "-2017.290415", "-1.5500e-10" "DN_T", "VY", "230.000", "2239.745512", "2239.745512", "-6.2600e-12" "DN_T", "VY", "250.000", "-790.397664", "-790.397663", "-3.5800e-11" "DN_T", "VY", "280.000", "2258.782745", "2258.782745", "1.0400e-10" "DN_T", "VZ", "30.000", "2767.252580", "2767.252580", "-7.5200e-11" "DN_T", "VZ", "90.000", "-2767.252580", "-2767.252580", "-7.5200e-11" "DN_T", "VZ", "145.000", "2740.932239", "2740.932239", "1.8200e-10" "DN_T", "VZ", "180.000", "-2547.183658", "-2547.183658", "2.5800e-11" "DN_T", "VZ", "230.000", "2777.276300", "2777.276300", "-1.5700e-10" "DN_T", "VZ", "250.000", "-1243.236082", "-1243.236082", "-9.2100e-11" "DN_T", "VZ", "280.000", "2787.481342", "2787.481342", "7.7000e-11" .. csv-table:: "GROUP_MA", "Effort", "Instant", "Effort Référence", "Effort Code_Aster", "Erreur" "DL_TR", "N", "30.000", "1635.707253", "1635.707253", "-8.4900e-11" "DL_TR", "N", "90.000", "-1635.707253", "-1635.707253", "-8.4900e-11" "DL_TR", "N", "145.000", "1525.492881", "1525.492881", "-1.8200e-10" "DL_TR", "N", "180.000", "-1249.231871", "-1249.231871", "1.4500e-11" "DL_TR", "N", "230.000", "1699.177353", "1699.177353", "-1.6000e-10" "DL_TR", "N", "250.000", "-415.381013", "-415.381013", "-1.1200e-10" "DL_TR", "N", "280.000", "1789.595108", "1789.595108", "-4.9600e-11" "DL_TR", "VY", "30.000", "2224.098875", "2224.098875", "-4.9400e-12" "DL_TR", "VY", "90.000", "-2224.098875", "-2224.098875", "-4.9400e-12" "DL_TR", "VY", "145.000", "2190.040518", "2190.040518", "-1.0900e-10" "DL_TR", "VY", "180.000", "-2017.290415", "-2017.290415", "-1.5500e-10" "DL_TR", "VY", "230.000", "2239.745512", "2239.745512", "-6.2600e-12" "DL_TR", "VY", "250.000", "-790.397664", "-790.397663", "-3.5800e-11" "DL_TR", "VY", "280.000", "2258.782745", "2258.782745", "1.0400e-10" "DL_TR", "VZ", "30.000", "2767.252580", "2767.252580", "-7.5200e-11" "DL_TR", "VZ", "90.000", "-2767.252580", "-2767.252580", "-7.5200e-11" "DL_TR", "VZ", "145.000", "2740.932239", "2740.932239", "1.8200e-10" "DL_TR", "VZ", "180.000", "-2547.183658", "-2547.183658", "2.5800e-11" "DL_TR", "VZ", "230.000", "2777.276300", "2777.276300", "-1.5700e-10" "DL_TR", "VZ", "250.000", "-1243.236082", "-1243.236082", "-9.2100e-11" "DL_TR", "VZ", "280.000", "2787.481342", "2787.481342", "7.7000e-11" "DL_TR", "MFY", "30.000", "5022.231028", "5022.231028", "9.6800e-11" "DL_TR", "MFY", "90.000", "-5022.231028", "-5022.231028", "9.6800e-11" "DL_TR", "MFY", "145.000", "4911.499221", "4911.499221", "8.9600e-11" "DL_TR", "MFY", "180.000", "-4443.221450", "-4443.221450", "-4.3200e-12" "DL_TR", "MFY", "230.000", "5075.752629", "5075.752629", "3.5200e-12" "DL_TR", "MFY", "250.000", "-2025.828992", "-2025.828992", "-8.7200e-11" "DL_TR", "MFY", "280.000", "5143.339483", "5143.339483", "-4.7600e-11" "DL_TR", "MFZ", "30.000", "3773.863680", "3773.863680", "4.0200e-11" "DL_TR", "MFZ", "90.000", "-3773.863680", "-3773.863680", "4.0200e-11" "DL_TR", "MFZ", "145.000", "3686.099695", "3686.099695", "-2.8500e-11" "DL_TR", "MFZ", "180.000", "-3236.583886", "-3236.583886", "1.3700e-10" "DL_TR", "MFZ", "230.000", "3810.233618", "3810.233618", "6.2600e-11" "DL_TR", "MFZ", "250.000", "-1262.367026", "-1262.367026", "5.6200e-11" "DL_TR", "MFZ", "280.000", "3849.201624", "3849.201624", "-1.8600e-12" .. csv-table:: "GROUP_MA", "Effort", "Instant", "Effort Référence", "Effort Code_Aster", "Erreur" "DL_T", "N", "30.000", "1635.707253", "1635.707253", "-8.4900e-11" "DL_T", "N", "90.000", "-1635.707253", "-1635.707253", "-8.4900e-11" "DL_T", "N", "145.000", "1525.492881", "1525.492881", "-1.8200e-10" "DL_T", "N", "180.000", "-1249.231871", "-1249.231871", "1.4500e-11" "DL_T", "N", "230.000", "1699.177353", "1699.177353", "-1.6000e-10" "DL_T", "N", "250.000", "-415.381013", "-415.381013", "-1.1200e-10" "DL_T", "N", "280.000", "1789.595108", "1789.595108", "-4.9600e-11" "DL_T", "VY", "30.000", "2224.098875", "2224.098875", "-4.9400e-12" "DL_T", "VY", "90.000", "-2224.098875", "-2224.098875", "-4.9400e-12" "DL_T", "VY", "145.000", "2190.040518", "2190.040518", "-1.0900e-10" "DL_T", "VY", "180.000", "-2017.290415", "-2017.290415", "-1.5500e-10" "DL_T", "VY", "230.000", "2239.745512", "2239.745512", "-6.2600e-12" "DL_T", "VY", "250.000", "-790.397664", "-790.397663", "-3.5800e-11" "DL_T", "VY", "280.000", "2258.782745", "2258.782745", "1.0400e-10" "DL_T", "VZ", "30.000", "2767.252580", "2767.252580", "-7.5200e-11" "DL_T", "VZ", "90.000", "-2767.252580", "-2767.252580", "-7.5200e-11" "DL_T", "VZ", "145.000", "2740.932239", "2740.932239", "1.8200e-10" "DL_T", "VZ", "180.000", "-2547.183658", "-2547.183658", "2.5800e-11" "DL_T", "VZ", "230.000", "2777.276300", "2777.276300", "-1.5700e-10" "DL_T", "VZ", "250.000", "-1243.236082", "-1243.236082", "-9.2100e-11" "DL_T", "VZ", "280.000", "2787.481342", "2787.481342", "7.7000e-11" .. csv-table:: "GROUP_MA", "Effort", "Instant", "Effort Référence", "Effort Code_Aster", "Erreur" "DL_T0", "N", "30.000", "1635.707253", "1635.707253", "-8.4900e-11" "DL_T0", "N", "90.000", "-1635.707253", "-1635.707253", "-8.4900e-11" "DL_T0", "N", "145.000", "1525.492881", "1525.492881", "-1.8200e-10" "DL_T0", "N", "180.000", "-1249.231871", "-1249.231871", "1.4500e-11" "DL_T0", "N", "230.000", "1699.177353", "1699.177353", "-1.6000e-10" "DL_T0", "N", "250.000", "-415.381013", "-415.381013", "-1.1200e-10" "DL_T0", "N", "280.000", "1789.595108", "1789.595108", "-4.9600e-11" "DL_T0", "VY", "30.000", "2224.098875", "2224.098875", "-4.9400e-12" "DL_T0", "VY", "90.000", "-2224.098875", "-2224.098875", "-4.9400e-12" "DL_T0", "VY", "145.000", "2190.040518", "2190.040518", "-1.0900e-10" "DL_T0", "VY", "180.000", "-2017.290415", "-2017.290415", "-1.5500e-10" "DL_T0", "VY", "230.000", "2239.745512", "2239.745512", "-6.2600e-12" "DL_T0", "VY", "250.000", "-790.397664", "-790.397663", "-3.5800e-11" "DL_T0", "VY", "280.000", "2258.782745", "2258.782745", "1.0400e-10" "DL_T0", "VZ", "30.000", "2767.252580", "2767.252580", "-7.5200e-11" "DL_T0", "VZ", "90.000", "-2767.252580", "-2767.252580", "-7.5200e-11" "DL_T0", "VZ", "145.000", "2740.932239", "2740.932239", "1.8200e-10" "DL_T0", "VZ", "180.000", "-2547.183658", "-2547.183658", "2.5800e-11" "DL_T0", "VZ", "230.000", "2777.276300", "2777.276300", "-1.5700e-10" "DL_T0", "VZ", "250.000", "-1243.236082", "-1243.236082", "-9.2100e-11" "DL_T0", "VZ", "280.000", "2787.481342", "2787.481342", "7.7000e-11" .. csv-table:: "GROUP_MA", "Effort", "Instant", "Effort Référence", "Effort Code_Aster", "Erreur" "DN_T0", "N", "30.000", "1823.529412", "1823.529412", "3.5500e-11" "DN_T0", "N", "90.000", "-1823.529412", "-1823.529412", "3.5500e-11" "DN_T0", "N", "145.000", "1823.529412", "1823.529412", "3.5500e-11" "DN_T0", "VY", "30.000", "4200.000000", "4200.000000", "2.1700e-16" "DN_T0", "VY", "90.000", "-4200.000000", "-4200.000000", "-4.3300e-16" "DN_T0", "VY", "145.000", "4200.000000", "4200.000000", "-2.1700e-16" "DN_T0", "VZ", "30.000", "4240.000000", "4240.000000", "0.0000e+00" "DN_T0", "VZ", "90.000", "-4240.000000", "-4240.000000", "-2.1500e-16" "DN_T0", "VZ", "145.000", "4240.000000", "4240.000000", "2.1500e-16" .. csv-table:: "GROUP_MA", "Direction", "Énergie Référence", "Énergie Code_Aster", "Erreur" "DN_TR", "DX", "9.083900", "9.083899", "-1.1600e-07" "DN_TR", "DY", "35.563390", "35.563387", "-9.4500 10-8" "DN_TR", "DZ", "51.155440", "51.155445", "9.2600 10-8" "DN_TR", "RX", "96.706530", "96.706529", "-1.5000 10-8" "DN_TR", "RY", "144.155340", "144.155339", "-4.8400 10-9" "DN_TR", "RZ", "61.549450", "61.549446", "-5.8100 10-8" "DN_T", "DX", "9.083900", "9.083899", "-1.1600e-07" "DN_T", "DY", "35.563390", "35.563387", "-9.4500 10-8" "DN_T", "DZ", "51.155440", "51.155445", "9.2600 10-8" "DL_TR", "DX", "9.083900", "9.083899", "-1.1600e-07" "DL_TR", "DY", "35.563390", "35.563387", "-9.4500 10-8" "DL_TR", "DZ", "51.155440", "51.155445", "9.2600 10-8" "DL_TR", "RX", "96.706530", "96.706529", "-1.5000 10-8" "DL_TR", "RY", "144.155340", "144.155339", "-4.8400e-09" "DL_TR", "RZ", "61.549450", "61.549446", "-5.8100 10-8" "DL_T", "DX", "9.083900", "9.083899", "-1.1600e-07" "DL_T", "DY", "35.563390", "35.563387", "-9.4500 10-8" "DL_T", "DZ", "51.155440", "51.155445", "9.2600 10-8" "DL_T0", "DX", "9.083900", "9.083899", "-1.1600e-07" "DL_T0", "DY", "35.563390", "35.563387", "-9.4500 10-8" "DL_T0", "DZ", "51.155440", "51.155445", "9.2600 10-8" "DN_T0", "DX", "5.055974", "5.055974", "-5.5200e-12" "DN_T0", "DY", "14.602500", "14.602500", "0.0000" "DN_T0", "DZ", "25.620480", "25.620480", "1.3900e-16"