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


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

In this modeling, we use the operator DYNA_VIBRA (see [:ref:`U4.53.03 <U4.53.03>`]) with the relationship DIS_CHOC. The integration diagram is ADAPT_ORDRE2.

In this modeling, the force exerted on mass :math:`{m}_{2}` is cancelled out in :math:`{t}_{2}=\mathrm{0,2}s`.


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

The mesh contains 2 discrete single-node meshes (one for each mass) and 1 discrete mesh for the spring.


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


.. csv-table::

    "**Type**", "**Instant (** :math:`s` **)**", "**Size**", "**Reference**", "**Aster**", "**Difference (%)**"
    "Analytics", "0.02"," :math:`{x}_{1}` ", "0. ", "2.0621E-05", ""
    "Analytics", "0.02"," :math:`{x}_{2}` ", "0.11221", "0.11221", "0.11221", "0"
    "Analytics", "0.15"," :math:`{x}_{1}` ", "1.35332", "1.35329", "-0.002"
    "Analytics", "0.15"," :math:`{x}_{2}` ", "1.80751", "1.80751", "1.80751", "0"
    "Analytics", "0.34"," :math:`\dot{x}{}_{1}` ", "0. ", "-3.3802E-5", ""
    "Analytics", "0.34"," :math:`{x}_{2}` ", "3.96813", "3.97012", "0.05"



.. csv-table::

    "**Type**", "**Size (s)**", "**Reference**", "**Aster**", "**% difference**"
    "Analytics", ":math:`{t}_{1}` ", "0.03512", "0.03520", "0.23"
    "Analytics", ":math:`{t}_{3}` ", "0.31492", "0.31500", "0.03"



notes
---------

The difference in :math:`\text{\%}` is not given for cases where the reference value is 0, but it is observed that the absolute difference is of the order of :math:`{10}^{-5}`.