C modeling
==============


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

Identical to modeling A with the addition of proportional viscous damping such as:

:math:`[C]=\alpha [K]+\beta [M]`

with

:math:`\alpha =0.2852750549\times {10}^{-4}` and :math:`\beta =57.62031174`

The Lanczos method (METHODE = 'TRI_DIAG') is used to calculate the natural modes.


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

Same as modeling A.


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

Non-regression tests only except for validating options MATE_ELGA and MATE_ELEM.


.. csv-table::

    "**Identification**", "**Reference Value**", "**Reference Type**", "**Tolerance**"
    "Field MATE_ELGA, Mesh MA000074, Point 1, Comp. RHO ", "1E3", "'ANALYTIQUE'", "0.1%"
    "Field MATE_ELEM, Mesh MA000074, Comp. E", "1E3", "'ANALYTIQUE'", "0.1%"
    "Field MATE_ELGA, Mesh MA000081, Point 1, Comp. RHO ", "3E3", "'ANALYTIQUE'", "0.1%"
    "Field MATE_ELEM, Mesh MA000081, Comp. E", "3E3", "'ANALYTIQUE'", "0.1%"