Extreme combination of wind effects and analysis of wind load characteristics for low-rise buildings

Based on transcendental probability theory, the probability density functions of two non-Gaussian scalar sums of wind effects are derived from the relationship between the probability density of the sum of random variables and the joint probability density function of sub-random variables by Hermite polynomial transformation. The extreme values of the two non-Gaussian wind effects are derived from the probability density function of the two components of the scalar sum, and then the equation of the combined coefficients of the two uncorrelated non-Gaussian wind effects is derived. Based on the POD decomposition of the covariance matrix of the fluctuating non-Gaussian wind effect after variance normalization, the combined extremum equations for the positive and negative correlation of the two non-Gaussian wind effect components are derived, respectively. The extreme value combination equations of the multi-component non-Gaussian fluctuating wind effect are derived from the two-component combination, and the influence coefficients of the non-Gaussian extreme value are verified by the extreme value probability transformation method. The wind load characteristics and the combination of wind load effect components of low-rise buildings under different eave heights and roof slopes are investigated by using the test data of low-rise buildings in NIST database.