.. _R3.06.04:

**r3.06.04** Fourier elements for axisymmetric structures
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**Summary**

Fourier elements are intended to calculate the response of structures with axisymmetric geometry stressed by non-axisymmetric loads broken down into Fourier series.

In this document, we present a general theory of Fourier Analysis with the coupling of symmetric and antisymmetric modes in the anisotropic case. The case of isotropic materials, or orthotropic materials with axis :math:`\mathit{Oz}`, where the modes are decoupled, is studied separately.

Fourier elements can be used in*Code_Aster* based on modeling AXIS_FOURIER. The support cells for these elements are triangles and quadrangles of degrees 1 and 2.




.. toctree::
    :hidden:

    self

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

    Introduction
    Analyse_de_Fourier_anisotrope
    Calcul_de_la_matrice_de_rigidit_
    Chargements
    Conclusion_et_Perspectives
    Bibliographie
    Description_des_versions_du_document