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


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

This cyclic repeatable structure is studied using the CRAIG - BAMPTON cyclic dynamic substructuring method.

A base sector, constituted by an angular sector of :math:`\text{20°}`, is meshed into triangles to which plate elements DKT are assigned.

The modal base used for the sector is composed of 20 specific modes and **constrained modes** associated with interfaces.


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

Number of knots: 66.

Number of meshes and types: 100 triangles with 3 knots DKT


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


.. csv-table::

    "", "**Number of**", "**Number of**", "", "", ""
    "**Number**
    **order**", "**diameters**
    **nodes**
    :math:`i` ", "**circles**
    **nodes**
    :math:`j` ", "**Reference**", "**Aster**", "**% difference**"
    "1", "0", "0", "0", "79.26", "79.58", "0.4"
    "8", "0", "1", "518.85", "518.85", "519.54", "0.1"
    "2.3", "1", "0", "81.09", "81.09", "81.18", "0.1"
    "9.10", "1", "1", "528.61", "528.61", "529.50", "0.2"
    "4.5", "2", "0", "0", "89.63", "89.72", "0.1"
    "11.12", "2", "1", "559.09", "559.48", "0.07"
    "6.7", "3", "0", "112.79", "113.16", "0.3"
    "13.14", "3", "1", "1", "609.70", "609.75", "0.01"



notes
---------

Modes with more than 1 modal diameter are dual modes.