C and D modeling
===================

Characteristics of the models
----------------------------------

In these models, modeling A is reused to test a more complex form of the buckling law. Modeling C is without shock damping, while for modeling D damping is added.

The system is modelled with a material point and a PLAN_Y obstacle.

The quantities obtained following buckling due to shock are evaluated using the keyword FLAMBAGE of the operator DYNA_VIBRA.

We also check the various resolution methods (EULER, ADAPT_ORDRE2 and DEVOGE). With the adaptive time diagram ADAPT_ORDRE2 we define (in seconds):


* the initial time step: PAS = 0.0002,


* the maximum value of the time step: PAS_MAXI = 0.001,


* the minimum value of the time step: PAS_MINI = 2.E-8.


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

Number of knots: 2

Number of mesh: 1 SEG2


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

The values of the quantities associated with the buckling of the wall are tested.

*C modeling:*

.. csv-table::

    "**Identification**", "**Reference**", "**T** reference type", "**Precision**"
    ":math:`\mathit{max}(d)` ", "6.5 m", "'ANALYTIQUE'", "0.01%"
    ":math:`{d}_{p}` ", "3.1m", "'ANALYTIQUE'", "0.01%"
    ":math:`{V}_{\mathit{rebond}}` ", "-1.303840481m/s", "'ANALYTIQUE'", "0.01%"


*D modeling:*

.. csv-table::

    "**Identification**", "**Precision**"
    ":math:`{d}_{p}` ", "No regression"
    ":math:`{V}_{\mathit{rebond}}` ", "No regression"