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

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

The beam is meshed with elements of type POU_D_E.

The transitory problem is solved directly on various types of projection bases.

The problem is addressed for four types of projection:


* on a base composed of the first 5 normal modes;


* on a base composed of the first 5 normal modes enriched with a static mode;


* on a base composed of the first 5 normal modes enriched with a static mode and orthogonalization of the base with respect to the stiffness matrix using the operand ORTHO =' OUI 'of DEFI_BASE_MODALE;


* on a base composed of the first 5 normal modes enriched with a static mode and orthogonalization of the base with respect to the stiffness matrix using the ORTHO_BASE operand from DEFI_BASE_MODALE.


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

Number of knots: 11

Number of meshes and types: 10 SEG2


Observed values
-----------------


.. csv-table::

    "**Identification**", "**Reference**", "**Tolerance**"
    "**Base without static modes**", "", ""
    "Displacement (:math:`m`)", ":math:`-1.85334E-06` "," :math:`7.5\text{\%}`"
    "Speed (:math:`{\mathrm{m.s}}^{-1}`)", ":math:`-4.63284E-03` "," :math:`4.0\text{\%}`"
    "**Base with static modes**", "", ""
    "Displacement (:math:`m`)", ":math:`-1.85334E-06` "," :math:`3.5\text{\%}`"
    "Speed (:math:`{\mathrm{m.s}}^{-1}`)", ":math:`-4.63284E-03` "," :math:`0.6\text{\%}`"
    "**Base with static mode +** ORTHO =' OUI '", "", ""
    "Displacement (:math:`m`)", ":math:`-1.85334E-06` "," :math:`3.5\text{\%}`"
    "Speed (:math:`{\mathrm{m.s}}^{-1}`)", ":math:`-4.63284E-03` "," :math:`0.6\text{\%}`"
    "**Base with static mode +** ORTHO_BASE ", "", ""
    "Displacement (:math:`m`)", ":math:`-1.85334E-06` "," :math:`3.5\text{\%}`"
    "Speed (:math:`{\mathrm{m.s}}^{-1}`)", ":math:`-4.63284E-03` "," :math:`0.6\text{\%}`"