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


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

The oscillator is modelled using 2D_ DIS_TR elements.


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

Number and type of meshes: 1 element of type SEG2 and one element of type POI1.


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

Natural frequency:


.. csv-table::

    "**Size tested**", "**Reference**", "**Tolerance**"
    ":math:`{f}_{0}\mathrm{=}\frac{{\omega }_{0}}{2\pi }` "," :math:`0.1\mathit{Hz}` ", "1.E-4"


         Sinusoidal response at time :math:`{t}_{1}\mathrm{=}1s`:


.. csv-table::

    "**Size tested**", "**Reference**", "**Tolerance**"
    ":math:`x({t}_{1}\mathrm{=}1s)` "," :math:`1.55346{10}^{\mathrm{-}3}m` ", "5.E-4"


         Harmonic response at frequency :math:`{\Omega }_{1}\mathrm{=}1.5{\omega }_{0}`:


.. csv-table::

    "**Size tested**", "**Reference**", "**Tolerance**"
    ":math:`\stackrel{ˆ}{x}(\Omega )\mathrm{=}1.5{\omega }_{0}` "," :math:`\mathrm{-}2.022511{10}^{\mathrm{-}2}` :math:`–5.15690{10}^{\mathrm{-}4}im` ", "5.E-3"


All three tests are combined with non-regression tests with a tolerance of 1.E-6.