Solution de référence
=====================


Méthode de calcul
------------------

Solution numérique [:ref:`bib1 <bib1>`] : valeurs du paramètre de pilotage (donc de la force :math:`P` ) en fonction du temps (donc du déplacement :math:`\mathit{Uz}` du point :math:`A` ).


Grandeurs et résultats de référence
-----------------------------------


.. code-block:: text

    Coefficient de pilotage (coefficient Multiplicateur de la force appliquée) en fonction du déplacement :math:`\mathrm{Uz}`du point :math:`A`.


.. code-block:: text

    Résultats de référence obtenus par une modélisation en 16x1x1 éléments coque :math:`\mathrm{S4R}`d’Abaqus.


.. csv-table::

    ":math:`P/{P}_{max}`", ":math:`-{U}_{x}(m)`", ":math:`{U}_{z}(m)`", ":math:`P/{P}_{\max}`", ":math:`-{U}_{x}(m)`", ":math:`{U}_{z}(m)`", ":math:`P/{P}_{\max}`", ":math:`-{U}_{x}(m)`", ":math:`{U}_{z}(m)`"
    "0.05", "0,026", "0,663", "0,4", "1,184", "4,292", "0,75", "2,541", "6,031"
    "0.1", "0,103", "1,309", "0,45", "1,396", "4,631", "0,8", "2,705", "6,190"
    "0.15", "0,224", "1,922", "0,5", "1,604", "4,933", "0,85", "2,861", "6,335"
    "0.2", "0,381", "2,493", "0,55", "1,807", "5,202", "0,9", "3,01", "6,467"
    "0.25", "0,563", "3,015", "0,6", "2,002", "5,444", "0,95", "3,151", "6,588"
    "0.3", "0,763", "3,488", "0,65", "2,190", "5,660", "1", "3,286", "6,698"
    "0.35", "0,971", "3,912", "0,7", "2,370", "5.855", "", "", ""



Incertitudes sur la solution
----------------------------

Sans objet


Références bibliographiques
---------------------------



.. _Ref208649747:

1.  Sze K.Y, Liu X.H, and Lo S.H. Popular benchmark problems for geometric nonlinear analysis of shells. *Finite Elements in Analysis and Design,* Volume 40, Issue 11, Pages 1551-156, 2004.