.. _V2.04.302:

**v2.04.302** SDLV302 — Modal analysis by substructuration: double-supported beam
=================================================================================

**Summary:**

This test validates the modal analysis of a structure using the dynamic substructuring method. The structure studied is a double-supported beam that can be deformed by shear force.

It is modelled by hexahedral volume elements with 20 nodes (3D modeling).

Modal analysis is carried out by three methods:


* direct approach;


* Craig-Bampton dynamic substructuring approach;


* direct approach with proportional viscous damping.

A particular advantage of this test is the presence of linear relationships between several degrees of freedom.

The calculated natural frequencies are compared to values obtained analytically for a Timoshenko beam model deformable under shear force and taking into account the rotatory inertia of the sections.


.. 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
    Synth_se_des_r_sultats