Adjusted Equivalent Static Wind Loads for non-Gaussian linear static analysis

In this paper, we propose a parametric bi-cubic model for the joint probability distribution of wind aerodynamic pressures and structural responses. This non-Gaussian model is a bivariate extension of the well-known Hermite polynomial
transformation. It offers a new way to determine Equivalent Static Wind Loads, with the embedded feature to –at least partly–
capture the non-Gaussianity of the aerodynamic pressures and responses. In a second step, based on the observation that this
model as well as the usual LRC method or the conditional sampling technique, fail in reproducing structural responses that do
not overestimate the extreme values resulting from a complete structural analysis, we propose a two-step adjustment procedure
that restores the non-overestimation condition and the recovery of the considered structural response. With the example of a
boundary layer flow around a duo-pitched roof, it is demonstrated that the Equivalent Static Wind Loads, adjusted or not,
obtained with the proposed model of non-Gaussian joint probability density function reconstruct the envelope of structural
response more efficiently than with the other two techniques.