.. _V2.02.009:

**v2.02.009** SDLL09 - Vibration of a slender beam of variable rectangular cross section (freestanding)
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**Summary:**

This flat problem consists in looking for the vibration frequencies of a free embedded beam with a rectangular variable cross section. This test includes a single modeling.

The variation in the cross section of the beam is either homothetic or non-homothetic. The characteristics of the cross section of the beam are given according to the cells in two different ways:


* section and inertia,


* height and width.

This problem therefore makes it possible to test the beam element with a variable cross section for a prismatic structure as well as the calculation of vibration frequencies by reverse iterations. Moreover, in operator AFFE_CARA_ELEM, we test the persistence of certain keywords.

The results obtained are in good agreement with those given in guide VPCS.


.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Synth_se_des_r_sultats