.. _V3.03.118:

**v3.03.118** SSLS118 - Square plate placed under sinusoidal pressure
===============================================================================

**Summary:**

The case of a monolayer then multilayer square plate is treated, which is simply supported and subjected to sinusoidal pressure.

We calculate the displacement in the center, the constraints

.. image:: images/Object_1.svg
    :width: 25
    :height: 24


.. _RefImage_Object_1.svg:

,

.. image:: images/Object_2.svg
    :width: 25
    :height: 24


.. _RefImage_Object_2.svg:

,

.. image:: images/Object_3.svg
    :width: 25
    :height: 24


.. _RefImage_Object_3.svg:

,

.. image:: images/Object_4.svg
    :width: 25
    :height: 24


.. _RefImage_Object_4.svg:

,

.. image:: images/Object_5.svg
    :width: 25
    :height: 24


.. _RefImage_Object_5.svg:

at the lower, middle and upper interfaces, the membrane forces

.. image:: images/Object_6.svg
    :width: 25
    :height: 24


.. _RefImage_Object_6.svg:

,

.. image:: images/Object_7.svg
    :width: 25
    :height: 24


.. _RefImage_Object_7.svg:

,

.. image:: images/Object_8.svg
    :width: 25
    :height: 24


.. _RefImage_Object_8.svg:

, the shear forces

.. image:: images/Object_9.svg
    :width: 25
    :height: 24


.. _RefImage_Object_9.svg:

,

.. image:: images/Object_10.svg
    :width: 25
    :height: 24


.. _RefImage_Object_10.svg:

And the moments

.. image:: images/Object_11.svg
    :width: 25
    :height: 24


.. _RefImage_Object_11.svg:

,

.. image:: images/Object_12.svg
    :width: 25
    :height: 24


.. _RefImage_Object_12.svg:

and

.. image:: images/Object_13.svg
    :width: 25
    :height: 24


.. _RefImage_Object_13.svg:

.

The test includes 14 models: with regard to models A to F, the results obtained are compared for models DKQ, DSQ, DKT, DST, COQUE_3D with triangular cells and COQUE_3D with rectangular cells.

G and H models allow the results to be tested in a user frame that is different from the global frame of reference.

The I and J models measure the sensitivity of the results to the fineness of the mesh, for configuration DSQ.

The K to N models concern the multilayer plate, for models DST and DSQ, in global and user coordinate systems. They make it possible to estimate the distribution of plane and transverse shear stresses inside the plate.

The O to R models validate the Q4G element.

The S to T models validate the Q4GG modeling.

W modeling validates the T3G element.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Mod_lisation_D
    Mod_lisation_E
    Mod_lisation_F
    Mod_lisation_G
    Mod_lisation_H
    Mod_lisation_I
    Mod_lisation_J
    Mod_lisation_K
    Mod_lisation_L
    Mod_lisation_M
    Mod_lisation_N
    Mod_lisation_O
    Mod_lisation_P
    Mod_lisation_Q
    Mod_lisation_R
    Mod_lisation_S
    Mod_lisation_T
    Mod_lisation_U
    Mod_lisation_V
    Mod_lisation_W
    Synth_se_des_r_sultats