F modeling
==============

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

The models tested are DIS_T on SEG2 meshes. The stiffness characteristics of the discretes are therefore of the type: K_T_D_L, M_T_D_N.

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

Number of knots: 3, number of stitches: 2, elements SEG2: 2, elements POI1: 1.

Boundary conditions and loads
-------------------------------------

Nodes N1, N2, N3 are locked in the X direction.

Nodes N1 and N3 are subject to displacement :math:`U(t)`, speed :math:`V(t)`, and acceleration :math:`\gamma (t)` in Y and Z directions.

Travel conditions are functions of time:

:math:`\mathit{Depl}={U}_{1.}\mathrm{sin}(2\mathrm{\pi }.{f}_{1}.t)+{U}_{2.}\mathrm{sin}(2\mathrm{\pi }.{f}_{2}.t)+{U}_{3.}\mathrm{sin}(2\mathrm{\pi }.{f}_{3}.t)`

Following the direction :math:`Y`: :math:`(u,f)=[(\mathrm{0.20,0}.80),(\mathrm{0.15,1}.50),(\mathrm{0.10,3}.00)]`

Following the direction :math:`Z`: :math:`(u,f)=[(-\mathrm{0.20,0}.90),(\mathrm{0.15,2}.00),(-\mathrm{0.10,2}.80)]`

The speed condition as a function of time: :math:`V(t)=\dot{U}(t)`

The accelerating condition as a function of time: :math:`\gamma (t)=\ddot{U}(t)`

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

The quantities tested are the displacements in the plane, the forces in the plane, the dissipation.

Tolerances are by default.

.. csv-table::

    "**INST**", "**FY**", "**UY**", "**UY**", "**FZ**", "**UZ**", "**DISSIP**"
    "1.78500E-01", "-9.52285E+00", "-9.52285E-03", "1.73773E+00", "1.73773E-03", "1.73773E-03", "0.00000E+00"
    "1.45100E+00", "-8.83105E+01", "-1.62217E-01", "4.94879E+01", "1.16656E-01", "1.16656E-01", "1.00979E+01"
    "2.77425E+00", "-9.81071E+01", "-2.56739E-01", "-2.78561E+01", "-4.34820E-02", "-4.34820E-02", "6.79684E+01"
    "4.40475E+00", "6.15594E+01", "8.85626E-02", "8.08338E+01", "2.20000E-01", "2.20000E-01", "2.80220E+02"
    "5.21475E+00", "3.64047E+01", "-3.64047E+01", "-3.640E+01", "-3.26796E-01", "-3.26796E-01", "4.14575E+02"
    "5.82650E+00", "8.73484E+01", "3.41345E-01", "5.88935E+01", "4.41383E-01", "4.41383E-01", "5.54339E+02"
    "6.67125E+00", "-9.72060E+01", "-1.81786E-01", "-2.97775E+01", "-2.07197E-01", "-2.07197E-01", "6.49955E+02"
    "7.47850E+00", "-8.24549E+01", "-1.66154E-01", "-5.97317E+01", "-1.89185E-01", "-1.89185E-01", "8.67545E+02"
    "8.07975E+00", "-3.70270E+01", "-2.89837E-01", "-9.23438E+01", "4.67886E-02", "9.58962E+02", "9.58962E+02"
    "8.61150E+00", "-6.02897E+01", "2.95664E-01", "-6.44423E+01", "-3.58656E-01", "-3.58656E-01", "1.06271E+03"
    "9.59300E+00", "7.82344E+01", "2.51358E-01", "-6.95014E+01", "-4.29696E-01", "-4.29696E-01", "1.28286E+01", "1.28286E+03"
    "1.01268E+01", "-1.01830E+02", "-3.72252E-01", "1.85394E+01", "7.85525E-02", "1.37195E+03"
    "1.09618E+01", "5.79435E+01", "2.41413E-01", "-8.48922E+01", "-2.26152E-01", "-2.26152E-01", "1.52979E+03"
    "1.16763E+01", "1.94219E+01", "-2.01469E-01", "-9.92547E+01", "-2.37830E-01", "-2.37830E-01", "1.66580E+03"
    "1.21353E+01", "-5.53783E+01", "5.35186E-02", "6.32611E+01", "-2.40125E-01", "-2.40125E-01", "1.75090E+01", "1.75090E+03"
    "1.30893E+01", "5.37249E+01", "1.337249E+01", "1.33765E-02", "-8.90513E+01", "-4.86920E-01", "1.92774E+03"
    "1.40900E+01", "-5.35883E+01", "-4.72384E-01", "-9.03927E+01", "-3.13451E-01", "-3.13451E-01", "2.10573E+03"
    "1.47685E+01", "-7.72478E+01", "-2.72478E+01", "-2.74588E-03", "6.68629E+01", "4.24219E-01", "2.27596E+03"
    "1.56093E+01", "9.21142E+01", "3.7142E+01", "" 3.71403E-05", "-3.76089E+01", "-1.61524E-01", "2.39968E+03"
    "1.66685E+01", "-9.95112E+01", "-1.25825E-01", "-1.44851E+01", "-1.48023E-01", "-1.48023E-01", "2.52738E+03"
    "1.77000E+01", "-9.72174E+01", "-1.10377E-01", "-2.44149E+01", "-4.87330E-02", "-4.87330E-02", "2.64239E+03"
    "1.83155E+01", "9.87313E+01", "8.53027E-02", "-1.37029E+01", "7.16409E-02", "2.66226E+03", "2.66226E+03"
    "1.89980E+01", "-6.21933E+01", "-5.04685E-02", "7.77303E+01", "4.14958E-02", "2.68767E+02", "2.68767E+03"