B modeling
==============


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

Modeling DKT with mesh identical to modeling A.

Rotation of the plate such that side :math:`\mathrm{AB}` is on the right :math:`\mathrm{3y}=\mathrm{4x}`


.. image:: images/10003FC20000129B000013897BCC326781A19771.svg
    :width: 240
    :height: 252


.. _RefImage_10003FC20000129B000013897BCC326781A19771.svg:


.. csv-table::

    "Node names:", "Points", ":math:`A=\mathrm{N1}` "," "," :math:`B=\mathrm{N78}` "," :math:`C=\mathrm{N145}` "," :math:`D=\mathrm{N80}` ", ""
    "", "", ":math:`G=\mathrm{N65}` "," :math:`H=\mathrm{N17}` "," "," :math:`I=\mathrm{N73}` "," :math:`J=\mathrm{N121}` "," :math:`K=\mathrm{N71}`"


**Boundary conditions:**

Cas1 in all the nodes on side :math:`\mathrm{AB}`:


.. code-block:: text

    DDL_IMPO = (GROUP_NO = AB DX=0., DY=0., DY=0., DZ=0., DRX =0. , DRY =0. , DRZ =0.)

Case 2: none

Harmonic response:

Nodal force point :math:`C` (:math:`\mathrm{N145}`): :math:`\mathrm{Fz}=–98100`

Material: AMOR_ALPHA: 0.1 AMOR_BETA: 0.1


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

Number of knots: 145

Number of meshes and types: 256 TRIA3


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

The values of the natural frequencies are identical to those of modeling A.

Harmonic response:


.. csv-table::

    "FREQ:", ":math:`50\mathrm{Hz}` "," NOEUD:", ":math:`\mathrm{N145}` "," "," MAILLE:", ":math:`\mathrm{M255}`"



.. csv-table::

    "**Reference**", "**Aster** **3.03.15**", "**Aster** **3.05.16**", "**% difference**"
    "DEPL 'DZ'", "2.90290E—02
    5.20606E—02", "2.90290E—02
    5.20606E—02", "0.0"
    "DEPL 'DRX'", "2.52920E—02
    9.44717E—02", "2.52920E—02
    9.44717E—02", "0.0"
    "VITE 'DZ'", "—1.63553E+01
    9.11973E+00", "—1.63553E+01
    9.11973E+00", "0.0"
    "VITE 'DRX'", "—2.96792E+01
    7.94573E+00", "—2.96792E+01
    7.94573E+00", "0.0"
    "ACCE 'DZ'", "—2.86505E+03
    —5.13817E+03", "—2.86505E+03
    —5.13817E+03", "0.0"
    "ACCE 'DRX'", "—2.49622E+03
    —9.32398E+03", "—2.49622E+03
    —9.32398E+03", "0.0"
    "'EFGE_ELNO' 'MXX'", "1.14053E+01
    1.45539E+03", "1.14053E+01
    1.45539E+03", "0.0"
    "'EFGE_ELNO' 'MYY'", "1.10224E+01
    —1.31441E+03", "1.10224E+01
    —1.31441E+03", "0.0"
    "'EFGE_ELNO' 'MXY'", "1.03148E+01
    3.55382E+02", "1.03148E+01
    3.55382E+02", "0.0"
    "'EFGE_ELNO' 'QX'", "3.66163E+02
    —3.77331E+03", "3.66163E+02
    —3.77331E+03", "0.0"
    "'EFGE_ELNO' 'QY'", "—3.14676E+02
    2.06813E+03", "—3.14676E+02
    2.06813E+03", "0.0"
    "'SIGM_ELNO' 'SIXZ'", "5.49245E+04
    —5.65997E+05", "5.49245E+04
    —5.65997E+05", "0.0"
    "'SIGM_ELNO' 'SIYZ'", "—4.72014E+04
    3.10219E+05", "—4.72014E+04
    3.10219E+05", "0.0"



notes
---------


.. code-block:: text

    CALC_MODES OPTION = 'BANDE'
Case 1: FREQ = (8., 140.)
Case 2: FREQ = (32., 90.)

**Contents of the results file:**


.. csv-table::

    "1°:", "6 first natural frequencies, eigenvectors and modal parameters."
    "2°:", "11 first natural frequencies, eigenvectors and modal parameters."
    "3°:", "move :math:`\mathrm{DZ}` :math:`\mathrm{DRX}` to node :math:`\mathrm{N145}`
    generalized efforts and constraints :math:`\mathrm{M255}` mesh"