Modélisation A ============== Caractéristiques de la modélisation ----------------------------------- Cette modélisation cherche à se rapprocher du document [:ref:`2 <2>`] de 2010. Pour cela, la matrice de masse calculée est pleine. L’analyse modale relève les 14 premiers modes et cinq analyses spectrales sont réalisées: 1. Combinaison SRSS 2. Combinaison CQC 3. Combinaison CQC avec correction statique 4. Combinaison de type Gupta avec :math:`\mathit{f1}=2,80\mathit{Hz}` et :math:`\mathit{f2}=11,90\mathit{Hz}` avec correction statique 5. Combinaison de type Gupta avec :math:`\mathit{f1}=2,80\mathit{Hz}` et :math:`\mathit{f2}=\mathrm{6Hz}` avec correction statique Grandeurs testées et résultats ------------------------------ Les grandeurs testées sont les fréquences propres des 14 premiers modes et les réactions aux appuis de la structure. Les tests utilisent comme références les valeurs issues d’ANSYS. Ils sont doublés de tests de non-regression avec une tolérance de :math:`\mathrm{1,E-6}` . .. csv-table:: "**Mode propres**", "**Référence** **Fréquences (Hz)**", "**Tolérance** **Code_Aster (%)**" "**1**", "2.91", "1" "**2**", "4.44", "2" "**3**", "4.86", "1" "**4**", "5.02", "1" "**5**", "6.95", "1" "**6**", "7.58", "2" "**7**", "7.82", "1" "**8**", "10.94", "2" "**9**", "11.65", "3" "**10**", "11.78", "2" "**11**", "12.8", "2" "**12**", "14.32", "3" "**13**", "15.17", "8" "**14**", "15.79", "6" .. csv-table:: "**Nœuds**", "**Efforts**", "**Référence calcul 1** **(F:lbs, M:lbs-inch)**", "**Tolérance** **Code_Aster** **calcul 1 (%)**", "**Référence calcul 2** **(F:lbs, M:lbs-inch)**", "**Tolérance** **Code_Aster** **calcul 2 (%)**", "**Référence calcul 3** **(F:lbs, M:lbs-inch)**", "**Tolérance** **Code_Aster** **calcul 3 (%)**" "**1**", ":math:`\mathit{FX}`", "30,69", "13", "30.81", "13", "43.85", "3" "**1**", ":math:`\mathit{FY}`", "15.34", "10", "12.59", "9", "15.21", "8" "**1**", ":math:`\mathit{FZ}`", "49.04", "9", "24.91", "5", "24.91", "5" "**1**", ":math:`\mathit{MX}`", "1515.03", "6", "764.29", "7", "766.72", "7" "**1**", ":math:`\mathit{MY}`", "1219.62", "6", "932.32", "0.15", "934.03", "1" "**1**", ":math:`\mathit{MZ}`", "1100.66", "12", "1096.58", "12", "1108.78", "11" "**4**", ":math:`\mathit{FX}`", "45.19", "5", "45.02", "5", "77.36", "3" "**4**", ":math:`\mathit{FZ}`", "82.15", "2", "55.61", "1", "56.12", "1" "**7**", ":math:`\mathit{FY}`", "27.87", "2", "15.78", "11", "15.99", "9" "**11**", ":math:`\mathit{FY}`", "21.54", "20", "19.57", "20", "19.59", "20" "**11**", ":math:`\mathit{FZ}`", "42.91", "4", "42.35", "2", "43.43", "3" "**15**", ":math:`\mathit{FX}`", "368.83", "2", "388.99", "3", "389.64", "3" "**17**", ":math:`\mathit{FY}`", "44.28", "0.3", "45.83", "2", "45.95", "2" "**17**", ":math:`\mathit{FZ}`", "53.12", "2", "55.06", "1", "55.31", "0.1" "**36**", ":math:`\mathit{FY}`", "162.84", "3", "169.14", "1", "171.57", "3" "**36**", ":math:`\mathit{FZ}`", "80.96", "8", "81.34", "6", "90.69", "10" "**38**", ":math:`\mathit{FX}`", "116.92", "4", "135.99", "5", "566.65", "12" "**38**", ":math:`\mathit{FY}`", "52.46", "2", "54.26", "1", "54.29", "1" "**38**", ":math:`\mathit{FZ}`", "39.12", "7", "44.55", "6", "50.45", "5.5" "**38**", ":math:`\mathit{MX}`", "2543.44", "1", "2606.69", "3", "2606.69", "3" "**38**", ":math:`\mathit{MY}`", "2533.41", "65", "2894.27", "5", "3142.75", "4.5" "**38**", ":math:`\mathit{MZ}`", "3650.45", "2", "3763.01", "1", "3764.97", "1" "**23**", ":math:`\mathit{FX}`", "177.23", "5", "193.92", "5", "245.05", "4" "**23**", ":math:`\mathit{FY}`", "145.37", "4", "151.53", "1", "151.99", "1" "**31**", ":math:`\mathit{FX}`", "9.41", "2", "11.09", "2", "54.42", "6" "**31**", ":math:`\mathit{FY}`", "22.08", "6", "24.77", "5", "27.73", "4" "**31**", ":math:`\mathit{FZ}`", "31.36", "8", "32.11", "7", "32.26", "7" "**31**", ":math:`\mathit{MX}`", "1971.58", "16", "2068", "14", "2072.03", "14" "**31**", ":math:`\mathit{MY}`", "267.63", "23", "304.18", "23", "567.6", "28" "**31**", ":math:`\mathit{MZ}`", "603.06", "6", "706.86", "3", "1912.58", "4" .. csv-table:: "**Nœuds**", "**Efforts**", "**Référence calcul 4** **(F:lbs, M:lbs-inch)**", "**Tolérance** **calcul 4 (%)**", "**Référence calcul 5** **(F:lbs, M:lbs-inch)**", "**Tolérance** **calcul 5 (%)**" "**1**", ":math:`\mathit{FX}`", "54.42", "1", "52.05", "1" "**1**", ":math:`\mathit{FY}`", "3.43", "8", "2.73", "16" "**1**", ":math:`\mathit{FZ}`", "6.61", "4", "4.93", "25" "**1**", ":math:`\mathit{MX}`", "190.18", "13", "135.39", "11" "**1**", ":math:`\mathit{MY}`", "858.44", "2", "877.81", "4" "**1**", ":math:`\mathit{MZ}`", "966.87", "3", "864.96", "2" "**4**", ":math:`\mathit{FX}`", "105.14", "1", "114.06", "1" "**4**", ":math:`\mathit{FZ}`", "42.48", "6", "34.9", "6" "**7**", ":math:`\mathit{FY}`", "8.77", "21", "6.77", "39" "**11**", ":math:`\mathit{FY}`", "16.71", "33", "12.44", "37" "**11**", ":math:`\mathit{FZ}`", "49.19", "2", "61.99", "3" "**15**", ":math:`\mathit{FX}`", "547.38", "2", "641.84", "1" "**17**", ":math:`\mathit{FY}`", "35.92", "1", "26.39", "2" "**17**", ":math:`\mathit{FZ}`", "56.34", "2", "46.86", "3" "**36**", ":math:`\mathit{FY}`", "81.01", "5", "61.16", "21" "**36**", ":math:`\mathit{FZ}`", "60.87", "3", "42.38", "20" "**38**", ":math:`\mathit{FX}`", "750.45", "10", "739.29", "10" "**38**", ":math:`\mathit{FY}`", "46.02", "2", "42.92", "1" "**38**", ":math:`\mathit{FZ}`", "45.53", "8", "41.67", "6.5" "**38**", ":math:`\mathit{MX}`", "914.22", "9", "369.64", "3" "**38**", ":math:`\mathit{MY}`", "3191.39", "7", "2909.01", "6" "**38**", ":math:`\mathit{MZ}`", "3248.59", "2", "3036.62", "1" "**23**", ":math:`\mathit{FX}`", "347.2", "4", "304.8", "5" "**23**", ":math:`\mathit{FY}`", "49.61", "11", "16.75", "12" "**31**", ":math:`\mathit{FX}`", "63.82", "3", "61.95", "3" "**31**", ":math:`\mathit{FY}`", "16.89", "4", "13.34", "6" "**31**", ":math:`\mathit{FZ}`", "19.53", "11", "12.96", "4.2" "**31**", ":math:`\mathit{MX}`", "1235.04", "19", "695.41", "19" "**31**", ":math:`\mathit{MY}`", "818.08", "31", "757.2", "32" "**31**", ":math:`\mathit{MZ}`", "2460.9", "2", "2319.49", "3"