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




Characteristics of modeling and meshing
--------------------------------------------------

The rotor is meshed in 3 uniformly distributed POU_D_T type finite shaft elements and includes 1 discrete element of type DIS_TRpour: the modeling of the bearing.

 Number of knots: 4

 Number and type of elements: 3 SEG2

     1 POI1




Loading
----------

The unbalance is installed on the disk node. It is characterized by a mass of :math:`{10}^{-4}\mathit{kg}`, a distance

to the neutral fiber of the :math:`0.15m` tree and an initial phase shift of zero. Its value is :math:`{15.10}^{\mathrm{-}6}\mathit{m.kg}`.

The linear law of speed increase imposed is as follows: :math:`\dot{\phi }\mathrm{=}\mathrm{416,7}t`






Results
---------

We test the moment for which the vibratory eccentricity reaches its maximum as well as the corresponding maximum amplitude.


.. csv-table::

    "Result", ":math:`{A}_{\mathit{max}}^{2}` (:math:`m`)", ":math:`{t}_{\mathit{max}}` (:math:`s`)"
    "Reference CADYRO ", "2.5810E-009", "7.89"
    "Reference LALANNE ", "2.1996E-009", "8.44"
    "Code_Aster", "2.65697E-009", "7.872350"
    "Relative error Aster/ CADYRO "," 3.0% "," 0.22%"
    "Relative error Aster/ LALANNE "," 20.79% "," 6.72%"


**Table** 3.3-1 **: Quantities tested for a linear law of increase in speed**


.. image:: images/10000200000001DD0000013BBFC79058987D6DDC.png
    :width: 5.539in
    :height: 3.2811in


.. _RefImage_10000200000001DD0000013BBFC79058987D6DDC.png:


.. image:: images/10000200000002E3000001B19317E5AF22DF5BAB.png
    :width: 5.439in
    :height: 2.9661in


.. _refImage_10000200000002e3000001b19317e5 AF22DF5BAB .png: