.. _R7.10.01:

**r7.10.01** Analysis of random responses
===================================================

**Summary**:

The introduction of a "stochastic approach to seismic calculation" to solve a vibratory mechanics problem under random excitation requires specific post-processing.

The command POST_DYNA_ALEA [:external:ref:`U4.76.02 <U4.76.02>`] makes it possible, based on the power spectral density of a response-spectrum, to evaluate its standard deviation, its apparent frequency, and the distribution of its peaks. In a first approach, it also makes it possible to calculate the Vanmarcke function useful in the case of seismic analysis.

**NOTE:**

*This command also makes it possible to perform statistical estimates for any type of interspectrum of response to random excitation that is not necessarily seismic (for example: effect of waves or turbulent flow) .*

 **Table of Contents**




.. toctree::
    :hidden:

    self

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

    Introduction
    Spectre_-_Interspectre_-_Matrice_Interspectrale
    Rappels_sur_les_lois_statistiques__bib4_
    Les_mesures_de_d_passement_de_seuil_et_la_fiabilit_
    Remarques
    Bibliographie
    Description_des_versions_du_document