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


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


.. image:: images/10000E8C00000DBF00000E297B3FEB9B28C31402.svg
    :width: 177
    :height: 182


.. _RefImage_10000E8C00000DBF00000E297B3FEB9B28C31402.svg:

In both cases, the plate is cut into 4 parts of equal dimensions. Each substructure under consideration is meshed into triangles to which plate DKT elements are assigned.

**Case 1: Plate embedded on one edge**

The structure is studied using the classical substructuring method with CRAIG_BAMPTON interfaces. The modal base used for each substructure is composed of 25 specific modes and constrained modes associated with the interfaces.

**Cas2: Free plate**

The structure is studied using the cyclic substructuration method with interfaces of type CRAIG_BAMPTONHARMONIQUE and taking into account the specificity of the axis node (point :math:`G`). The modal base used for the base sector is composed of 25 natural modes and harmonic modes associated with the interfaces.


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

Number of knots: 121

Number of meshes and types: 200 TRIA3


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


.. csv-table::

    "**Order of**", "**Frequency**", "**(** :math:`\mathrm{Hz}` **)**", "", ""
    "**clean mode i**", "**Reference**", "**Aster**", "**% difference**", "**Tolerance**"


1°: Plate embedded on one side


.. csv-table::

    "1", "8.7266", "8.6419", "—0.97", ""
    "2", "21.3042", "21.2253", "—0.37", ""
    "3", "53.5542", "52.9693", "—1.09", "1.25 10—2"
    "4", "68.2984", "67.5444", "—1.10", ""
    "5", "77.7448", "77.3966", "—0.45", ""
    "6", "136.0471", "134.5785", "—1.08", ""
    "", "", "", "", ""


2°: Free plate


.. csv-table::

    "7", "33.7119", "33.6808", "—0.09", ""
    "8", "49.4558", "48.9785", "—0.96", ""
    "9", "61.0513", "60.6739", "—0.62", "1. 10—2"
    "10", "87.5160", "87.0662", "—0.51", ""
    "11", "87.5160", "87.0662", "—0.51", ""