Simulation of Non-Gaussian Stochastic Process: Fluctuating Wind Pressure

In order to simulate the non-Gaussian fluctuating wind pressure with prescribed lower-order moments and its target power spectral density (PSD) function, the following framework is proposed in the present paper: Firstly, the PSD function of fluctuating wind pressure is deduced rigorously according to the relationship between the wind pressure and velocity; Then, an efficient yet practical method by which the fluctuating wind pressure may be reproduced with the designated skewness and kurtosis is presented based on the derived PSD function, Johnson translator system, and digital filter; Finally, in order to corroborate the feasibility and correctness of the present methodology, a numerical example of simulating one-dimensional univariate non-Gaussian fluctuating wind pressure is taken into consideration. Numerical results indicate that the statistical parameters, such as the skewness and kurtosis, of the simulated fluctuating wind pressure are in remarkably agreement with their targets. Likewise, the PSDs of the simulated records and target show considerably good agreement with each other.