Modélisation B ============== Caractéristiques de la modélisation ----------------------------------- .. image:: images/1000000000000207000001594C43CE9088988969.png :width: 3.3945in :height: 2.1602in .. _RefImage_1000000000000207000001594C43CE9088988969.png: .. _1183277401: .. _1183277332: .. csv-table:: "Maille", ":math:`\mathrm{E3}`", ":", ":math:`\mathrm{N6}-\mathrm{N17}`" "", ":math:`\mathrm{E4}`", ":", ":math:`\mathrm{N17}-\mathrm{N18}`" "", ":math:`\mathrm{E19}`", ":", ":math:`\mathrm{N17}-\mathrm{N16}`" .. csv-table:: "Masses de coins", ":", ":math:`4.444\mathrm{kg}`" "Masses intermédiaires", ":", ":math:`0.783\mathrm{kg}`" Caractéristiques du maillage ---------------------------- Nombre de nœuds : 28 Nombre de mailles et types : 52 (28 MECA_POU_D_T et 24 MECA_DIS_T_N) Remarques --------- Les modes sont normalisés à la masse généralisée à 1. La réponse globale s'obtient par combinaison quadratique des modes, puis successivement une combinaison quadratique et une combinaison de Newmark des directions des excitations. Valeurs testées : fréquences ---------------------------- .. csv-table:: "**Identification**", "**Référence**", "**% tolérance**" "Mode", "Fréquence (:math:`\mathrm{Hz}` )", "" "1", "110.857", ".1" "2", "115.471", ".1" "3", "135.936", ".1" "4", "213.541", ".1" "5", "417.332", ".1" "6", "434.813", ".1" "7", "464.097", ".1" "8", "557.262", ".2" "9", "821.746", ".1" "10", "847.071", ".1" "11", "978.174", ".2" "12", "991.842", ".1" "13", "1021.669", ".1" "14", "1040.240", ".1" "15", "1056.948", ".1" "16", "1088.861", ".1" "17", "1093.157", ".1" "18", "1107.870", ".1" Valeurs testées avec combinaison quadratique des directions des excitations --------------------------------------------------------------------------- .. csv-table:: "**Identification**", "**Référence**", "**% tolérance**" "Déplacement:", "", "" ":math:`\mathrm{N17}` :math:`\mathrm{DX}(m)`", "3.4246E-04", "2." ":math:`\mathrm{DY}(m)`", "4.3562E-06", "2." ":math:`\mathrm{DZ}(m)`", "3.0321E-04", "2." ":math:`\mathrm{DRX}(\mathrm{rad})`", "3.7031E-04", "2." ":math:`\mathrm{DRY}(\mathrm{rad})`", "4.7665E-05", "2." ":math:`\mathrm{DRZ}(\mathrm{rad})`", "5.1104E-04", "2." "Réactions REAC_NODA:", "", "" ":math:`\mathrm{N25}` :math:`\mathrm{FX}(N)`", "1.2536E+03", "2." ":math:`\mathrm{FY}(N)`", "1.2473E+03", "2." ":math:`\mathrm{FZ}(N)`", "1.2196E+03", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "3.2474E+02", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "4.1310E+00", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "3.4846E+02", "2." "Efforts EFGE_ELNO:", "", "" ":math:`\mathrm{E3}` :math:`\mathrm{N17}` :math:`\mathrm{FX}(N)`", "1.1312E+03", "2." ":math:`\mathrm{FY}(N)`", "1.2431E+03", "2." ":math:`\mathrm{FZ}(N)`", "1.0982E+03", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "2.2833E+02", "-2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "4.1301E+00", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "2.2068E+02", "2." ":math:`\mathrm{E4}` :math:`\mathrm{N17}` :math:`\mathrm{FX}(N)`", "1.8813E+02", "2." ":math:`\mathrm{FY}(N)`", "1.0419E+03", "2." ":math:`\mathrm{FZ}(N)`", "1.3175E+02", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "2.2833E+02", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "2.9165E+01", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "1.6408E-01", "2." ":math:`\mathrm{E19}` :math:`\mathrm{N17}` :math:`\mathrm{FX}(N)`", "2.9587E+02", "2." ":math:`\mathrm{FY}(N)`", "6.3879E+02", "2." ":math:`\mathrm{FZ}(N)`", "2.6539E+02", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "1.8400E-01", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "3.2361E+01", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "2.2068E+02", "2." Valeurs testées avec combinaison de NEWMARK des directions des excitations -------------------------------------------------------------------------- .. csv-table:: "**Identification**", "**Référence**", "**% tolérance**" "Déplacement:", "", "" ":math:`\mathrm{N17}` :math:`\mathrm{DX}(m)`", "3.4265E-04", "2." ":math:`\mathrm{DY}(m)`", "4.8392E-06", "2." ":math:`\mathrm{DZ}(m)`", "3.0324E-04", "2." ":math:`\mathrm{DRX}(\mathrm{rad})`", "3.7612E-04", "**2.**" ":math:`\mathrm{DRY}(\mathrm{rad})`", "5.2602E-05", "2." ":math:`\mathrm{DRZ}(\mathrm{rad})`", "5.2310E-04", "2." "Réactions REAC_NODA:", "", "" ":math:`\mathrm{N25}` :math:`\mathrm{FX}(N)`", "1.2790E+03", "2." ":math:`\mathrm{FY}(N)`", "1.3868E+03", "2." ":math:`\mathrm{FZ}(N)`", "1.2441E+03", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "3.2789E+02", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "4.5579E+00", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "3.5199E+02", "2." "Efforts EFGE_ELNO:", "", "" ":math:`\mathrm{E3}` :math:`\mathrm{N17}` :math:`\mathrm{FX}(N)`", "1.1486E+03", "2." ":math:`\mathrm{FY}(N)`", "1.3793E+03", "2." ":math:`\mathrm{FZ}(N)`", "1.1141E+03", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "2.2982E+02", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "4.5580E+00", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "2.2537E+02", "2." ":math:`\mathit{E4}` :math:`\mathit{N17}` :math:`\mathit{FX}(N)`", "2.0079E+02", "2." ":math:`\mathrm{FY}(N)`", "1.0650E+03", "2." ":math:`\mathrm{FZ}(N)`", "1.4833E+02", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "2.2975E+02", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "3.2490E+01", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "1.6400E-01", "2." ":math:`\mathrm{E19}` :math:`\mathrm{N17}` :math:`\mathrm{FX}(N)`", "3.3579E+02", "2." ":math:`\mathrm{FY}(N)`", "6.7526E+02", "2." ":math:`\mathrm{FZ}(N)`", "2.7947E+02", "2." ":math:`\mathrm{MX}(\mathrm{N.m})`", "1.8500E-01", "2." ":math:`\mathrm{MY}(\mathrm{N.m})`", "3.5570E+01", "2." ":math:`\mathrm{MZ}(\mathrm{N.m})`", "2.2535E+02", "2." * Les déplacements des coins :math:`(\mathrm{N9},\mathrm{N12},\mathrm{N17},\mathrm{N20})` sont identiques, * Les réactions aux appuis :math:`(\mathrm{N25},\mathrm{N26},\mathrm{N27},\mathrm{N28})` sont identiques, * Les efforts généralisés sont exprimés dans le repère global.