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


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


.. image:: images/10000BC40000300F0000106FEC878AC3FC7E2431.svg
    :width: 619
    :height: 211


.. _RefImage_10000BC40000300F0000106FEC878AC3FC7E2431.svg:

The bar is cut into 2 parts of equal dimensions. Each substructure under consideration is meshed into segments to which "bar" elements are assigned.

The structure is studied using the harmonic substructuration method with interfaces of the type CRAIG - BAMPTON HARMONIQUE.

The modal base used is composed of 4 eigenmodes for the right substructure, 5 eigenmodes for the left substructure to which are added the harmonic constrained modes associated with the interfaces (calculated at :math:`300\mathrm{Hz}`). This pulse value has no influence on the result, it is arbitrary [:ref:`bib3 <bib3>`]).


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

Number of knots: 5

Number of meshes and types: 5 SEG 2


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


+--------------+------------------------------------++-------------+
|              |**Movement** :math:`(m)`             |             |
+--------------+------------------------------------++-------------+
|              |**Reference**                       ||**Tolerance**|
+--------------+------------------------------------++-------------+
|Real part     |—7.00 10—11                         ||2.10—3       |
+--------------+------------------------------------++-------------+
|Imaginary part|5.07 10—9                           ||2.10—3       |
+--------------+------------------------------------++-------------+
|              |**Speed** :math:`(m/s)`             ||             |
+--------------+------------------------------------++-------------+
|Real part     |—3.18 10—6                          ||2.10—3       |
+--------------+------------------------------------++-------------+
|Imaginary part|—4.40 10—8                          ||2.10—3       |
+--------------+------------------------------------++-------------+
|              |**Acceleration** :math:`(m/{s}^{2})`||             |
+--------------+------------------------------------++-------------+
|Real part     |2.76 10—5                           ||2.10—3       |
+--------------+------------------------------------++-------------+
|Imaginary part|—2.00 10—3                          ||2.10—3       |
+--------------+------------------------------------++-------------+