C modeling
==============


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

The eigenmodes of the complete system are calculated using the modal calculation method by substructuring with 'Craig-Bampton' interfaces (blocked interfaces). The bases of each substructure are composed of a dynamic mode and a constrained mode.

The dynamic mode of each substructure is associated with a damping reduced by :math:`\text{1\%}`.

The transient response of the damped system is calculated on the modal basis calculated by substructuring.

The time steps taken are equal to: :math:`{10}^{-2}s` in EULER, :math:`{10}^{-2}s` in NEWMARK, in, :math:`{10}^{-2}s` in ADAPT_ORDRE2 (for the latter, this is the initial time step of the algorithm and the maximum time step is set to the formula :math:`\mathrm{0,1}s` to optimize the calculation time).


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

Number of knots: 3

Number of meshes and types: 2 SEG2


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


.. csv-table::

    "**Identification**", "**Reference**"
    "Method: EULER ", ""
    "Node :math:`{x}_{2}`, move (:math:`m`)", "4.9867 10—1"
    "Method: NEWMARK ", ""
    "Node :math:`{x}_{2}`, move (:math:`m`)", "4.9867 10—1"
    "Method: ADAPT_ORDRE2 ", ""
    "Node :math:`{x}_{2}`, move (:math:`m`)", "4.9867 10—1"


Note: the C modeling tests are duplicated because we want to test the modal calculation on the projected matrices with automatic passage to the MUMPS solver while the user requested the MULT_FRONT solver, which is not available in this case. The results are the same.