Application des méthodes d'analyse stochastique à l’étude des effets du vent sur les structures du génie civil

In the civil engineering field, the analysis of structures subjected to wind loading
is generally based on several hypotheses. Their justification is often fuzzy and they are
usually postulated in order to apply simplified mathematics. These hypotheses allow the
resolution to be run in a gaussian context. This work aims at presenting and applying an
analysis which allows accounting for the usually neglected terms of the loading. When
studying multi degree of freedom structures, other simplifications concerning the coupling
effects between modes are generally formulated. These conditions are also approached and
several solutions to take them (eventually partially) into account are proposed.
From the simplest analysis of a single degree of freedom system subjected to a simple
aerodynamic loading, this work presents more and more complex structures. The last step
is to present to developments necessary to analyse a real structure. The developments
will allow to analyse a linear 3-D structure subjected to a 3-D aerodynamic field whose
non linear characteristics are taken into account. These non linear effects can come from
the quadratic terms in the expression of the turbulence and from the non linearity of the
aerodynamic coefficients in terms of the wind angle of attack.