E modeling ============== Characteristics of modeling ----------------------------------- 4 POU_D_EM elements with a hollow circular cross section: 4 SEG2 meshes .. csv-table:: "elements :math:`\mathit{AC}` and :math:`\mathit{BC}` ", "radius: :math:`R=8.305164{10}^{-3}m` Thickness: :math:`e=0.006m` ", "air :math:`A=2.{10}^{-4}{m}^{2}`" "elements :math:`\mathit{CD}` and :math:`\mathit{BD}` ", "radius: :math:`R=5.683099{10}^{-3}m` Thickness: :math:`e=0.005m` ", "air :math:`A=1.{10}^{-4}{m}^{2}`" "Poisson's ratio:", ":math:`\nu =0.3` ", "" **Boundary conditions:** DDL_IMPO = (All=' OUI ', DZ= 0., DRX = 0., DRY = 0.) To treat articulated connections, as many knots as bar ends are created. .. image:: images/10000000000000C5000000918FD073A2F9635834.png :width: 1.411in :height: 1.1571in .. _RefImage_10000000000000C5000000918FD073A2F9635834.png: • at nodes :math:`\mathrm{A1}`, :math:`\mathrm{B2}`, and :math:`\mathrm{D4}`: DDL_IMPO =_F (All=' OUI ', DX= 0. , D4= 0.,) • at nodes :math:`\mathrm{C1}`, :math:`\mathrm{C2}`, :math:`\mathrm{C3}` and :math:`\mathrm{D3}`, :math:`\mathrm{D4}` continuity of translations, by LIAISON_DDLDX and DY. • no rotation is imposed. Characteristics of the mesh ---------------------------- Number of knots: 8 Number of meshes and types: 4 SEG2 +-------------------------------------------+---------------------------------------------------------------------------------------------+---------------------------+ |Meshing the two hollow sections | +-------------------------------------------+---------------------------------------------------------------------------------------------+---------------------------+ |Elements |Meshing |specifications | +-------------------------------------------+---------------------------------------------------------------------------------------------+---------------------------+ |:math:`\mathrm{AC}` and :math:`\mathrm{BC}`| |240 knots 79 SEG2 415 TRIA3| + + .. image:: images/Object_1.png + + | | :width: 1.652in | | + + :height: 1.6374in + + | | | | + + + + | | | | +-------------------------------------------+---------------------------------------------------------------------------------------------+---------------------------+ |:math:`\mathrm{CD}` and :math:`\mathrm{BD}`| |127 knots 56 SEG2 210 TRIA3| + + .. image:: images/Object_2.png + + | | :width: 1.6508in | | + + :height: 1.5827in + + | | | | + + + + | | | | +-------------------------------------------+---------------------------------------------------------------------------------------------+---------------------------+ notes --------- In this modeling, the complex dynamic response of the system subjected to complex harmonic excitation (:math:`F=-9810.+\mathrm{0.j}`) is calculated in the presence of viscous damping proportional to stiffness and mass. (AMOR_ALPHA = AMOR_BETA =0.1). The results are compared to the results obtained with modeling POU_D_T. Tested sizes and results ------------------------------ The results (Displacement, Velocity and Acceleration) were obtained at a frequency of :math:`100\mathrm{Hz}` .. csv-table:: "**Point**", "**Displacement (** :math:`m` **)**", "**Reference Type**", "**Reference**", "**Tolerance**" ":math:`D` "," :math:`\mathrm{DX}` "," AUTRE_ASTER ", "-1.65073E-05-9.22424E-06J", "3.50%" "", ":math:`\mathrm{DY}` "," AUTRE_ASTER ", "2.52829E-05+1.80184E-05J", "3.00%" .. csv-table:: "**Point**", "**Speed (** :math:`m/s` **)**", "**Reference Type**", "**Reference**", "**Tolerance**" ":math:`D` "," :math:`\mathrm{DX}` "," AUTRE_ASTER ", "5.79576E-03-1.03719E-02J", "3.50%" "", ":math:`\mathrm{DY}` "," AUTRE_ASTER ", "-1.13213E-02+1.58857E-02J", "3.00%" .. csv-table:: "**Point**", "**Acceleration (** :math:`m/{s}^{2}` **)**", "**Reference Type**", "**Reference**", "**Tolerance**" ":math:`D` "," :math:`\mathrm{DX}` "," AUTRE_ASTER "," ", "6.51684+3.64158j", "3.50%" "", ":math:`\mathrm{DY}` "," AUTRE_ASTER ", "-9.98130-7.11336j", "3.00%"