.. _V2.02.010:

**v2.02.010** SDLL10 - Beam with variable rectangular cross section (recessed and embedded)
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**Summary:**

This flat problem consists in looking for the frequencies and modes of vibration of a mechanical structure composed of a recessed and embedded beam whose area of the straight section varies exponentially. This Structural Mechanics test corresponds to a dynamic analysis of a linear model with linear behavior. It includes a single model.

By means of this problem, we test the Timoshenko flexure beam element of variable cross section as well as the calculation of the frequencies and modes of vibration by the Lanczos method. The "standard to 1." functionality is also tested at the point of maximum translational amplitude" of the vibration modes.

By using fine spatial discretization, the results obtained are in good agreement with the analytical results 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