Modeling A
==============


Characteristics of modeling
-----------------------------------

Modeling POU_D_T.

10 beam elements are used:

in all the nodes:


.. code-block:: text
 DDL_IMPO =_F (TOUT =' OUI 'DZ= 0, DRX = 0, DRY = 0)

at node :math:`A`:


.. code-block:: text
 (NOEUD = A DX= 0, DY= 0)

at node :math:`B`: shock conditions


.. code-block:: text

    CHOC =_F (

    NOEUD_1 = B

    OBSTACLE = map

    ORIG_OBST = (0.783, 0.1, 0.)

    NORM_OBST = (1., 0., 0.,.)

    JEU = 0.1

    RIGI_NOR = 0.

    RIGI_TAN = k

    AMOR_NOR = 0.

    COULOMB = 0.

    )

Modal synthesis with 10 clean modes, time not used :math:`\mathrm{dt}=1.E-5s`.

Numerical integration algorithm: EULER


Characteristics of the mesh
----------------------------

Number of knots: 11

Number of meshes and types: 10 SEG2


notes
---------

Number of modes used for modal overlay: 10.


Tested sizes and results
------------------------------

Transverse movements of the end of the beam for the first 12 calculation time steps.


.. csv-table::

    "**Identification**", "**Reference**"
    ":math:`k=18000N/m` ", "— 2.66 E-3"
    "", "— 4.33 E-3"
    "", "— 4.92 E-3"
    "", "— 4.78 E-3"
    "", "— 3.82 E-3"
    "", "— 2.87 E-3"
    "", "— 2.71 E-3"
    "", "— 3.09 E-3"
    "", "— 3.41 E-3"
    "", "— 3.36 E-3"
    "", "— 2.64 E-3"
    "", "— 7.42 E-4"
    ":math:`k=45000N/m` ", "— 2.25 E-3"
    "", "— 2.66 E-3"
    "", "— 1.96 E-3"
    "", "— 1.15 E-3"
    "", "— 1.24 E-4"
    "", "— 3.64 E-4"
    "", "— 2.01 E-3"
    "", "— 2.74 E-3"
    "", "— 1.89 E-3"
    "", "— 3.52 E-4"
    "", "+ 1.70 E-3"
    "", "+ 4.99 E-3"