.. _V2.04.401:

**v2.04.401** SDLV401 - Free-free full sphere
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**Summary:**

This three-dimensional test of modal analysis consists in calculating the natural frequencies of a full free-free sphere.

The interest of this test is to evaluate the robustness and the performance of *Code_Aster* in the detection of rigid modes and multiple frequencies, when using solid elements.

The reference solution is numerical and is obtained using the software for calculating structures by finite elements SAMCEF.

In this test, we compare the results obtained with two types of elements:


1. element HEXA8 (modeling A)


2. element HEXA20 (modeling B).

In order to determine the specific elements of this system, the so-called SORENSEN method is used.


.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Synth_se_des_r_sultats