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


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

**Discreet element in type translation** **DIS_T**

Modeling respects geometry.

Characteristics of the elements:

At nodes :math:`\mathrm{P1}` to :math:`\mathrm{P8}`: mass matrices of type M_T_D_N with :math:`m=10\mathrm{Kg}`.

Spring elements: a K_T_D_L stiffness matrix with :math:`{K}_{x}={10}^{5}N/m`

Damping elements: a damping matrix of type A_T_D_L with :math:`{c}_{x}=\mathrm{50 }N/m`

Boundary conditions:

All degrees of freedom are locked except for degree of freedom :math:`\mathrm{dx}`.

The modal depreciation is calculated by the modal calculation operator, it is reinjected as modal damping into the random dynamic calculation.


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

Number of knots: 10

Number of meshes and types: 9 SEG2, 10 POI1


Tested sizes
-----------------

**DSP from the move to the node** :math:`\mathrm{P4}`


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% Difference**"
    "ABSOLU: :math:`F=5.5259\mathrm{Hz}` ", "0.1059E—5", "0.1059E—5"," 0%"


**Spectral moments for discretization at regular steps 0.25 Hz (40 steps)**


.. csv-table::

    "**Identification**", "**Reference**", "**% Tolerance**", ""
    "Spectral moment no. 0", "4.677906 10—6"," 0.1% ", ""
    "Spectral moment No. 1", "1.613654 10—5"," 0.1% ", ""
    "Spectral Moment No. 2", "5.580276 10—4"," 0.1% ", ""
    "Spectral Moment No. 3", "1.935152 10—2"," 0.1% ", ""
    "Spectral moment no. 4", "0.673608"," 0.1% ", ""


.. csv-table::

    "Spectral moment #6", "834.63140"," 0.1% ", ""
    "Spectral moment no. 8", "1.1200226 106"," 0.1% ", ""


**Spectral moments for discretization at regular steps 0.025 Hz (400 steps)**


.. csv-table::

    "**Identification**", "**Reference**", "**% Tolerance**", ""
    "Spectral moment no. 0", "3.1750082 10—7"," 0.1% ", ""
    "Spectral Moment No. 1", "1.0960802 10—5"," 0.1% ", ""
    "Spectral Moment No. 2", "3.803552 10—4"," 0.1% ", ""
    "Spectral moment No. 3", "1.325284 102"," 0.1% ", ""
    "Spectral moment No. 4", "0.4643197"," 0.1% ", ""


.. csv-table::

    "Spectral moment #6", "588.14036"," 0.1% ", ""
    "Spectral moment #8", "8.28816138"," 0.1% ", ""