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


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

As in the previous modeling (modeling B), the structure is damped with the same proportional damping and the same Rayleigh coefficients (cf. [:ref:`§ 5.1 <§ 5.1>`]).

The difference lies in the use of a method of dynamic condensation of the right part of the structure (this time comprising 6 elements) which is then represented by a dynamic macro-sub-structuring element. The dynamic problem is solved on a mixed model consisting of the macro-element of the right part of the structure where the applied force is exerted and a physical model reduced to its left part comprising 4 elements where there is an embedment.


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

The mesh used is the initial complete mesh (see §1.1) obtained by duplicating and then assembling the modeling A mesh, which gives 10 elements and 11 nodes.


Tested features
------------------------

We test the dynamic calculation functionalities with condensation of a part of the structure as well as the reproduction in physical space.


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

The results are reproduced on the complete initial mesh combining the two substructures of the previous models. The end node corresponds to node :math:`\mathit{N10}` (cf. figure in §1.1). These are exactly the same as those in B modeling as expected.


.. csv-table::

    "**Identification**", "**Reference**"
    **(full model)**", "**Dynamic condensation**", "**Difference (%)**"
    "Node :math:`\mathit{N10}`: move (:math:`m`)", "—9.54882E—7", "—9.54882E—7", "< 0.1"
    "Node :math:`\mathit{N10}`: speed (:math:`{\mathit{m.s}}^{\mathrm{-}1}`)", "1.22190E—3", "1.22190E—3", "< 0.1"
    "Node :math:`\mathit{N10}`: acceleration (:math:`{\mathit{m.s}}^{\mathrm{-}2}`)", "—1.91712E+0", "—1.91712E+0", "< 0.1"