Abstract：Estimating peak values of wind-induced structural response is significant in reliability-based and wind-resistant design of building structure. However, due to various random factors in the estimation procedure, such as inherent uncertainty, estimation method, sampling, probability model and so on, uncertainties of peak values usually exist. Among them, the inherent uncertainty of peak response will be studied, and the uncertainty for peak response at any fractile will be estimated. Firstly, a low-rise frame building is designed and optimized in the finite element software. Time histories of structural responses are obtained under wind loading. Secondly, HPM-based translation process (HPM) is adopted to estimate the peak values of structural responses. Empirical formulas are proposed to directly relate skewness, kurtosis and zero-mean upcrossing numbers to parameters of Gumbel distribution. Thirdly, considering the uncertainties of first four moments, uncertainty of peak responses at any fractile is estimated using the proposed formulae and the multistep probability analysis. Finally, conclusions and remarks are made.
