Research on reliability calculation method of skew probability model based on empirical frequency distribution
In the reliability calculation of existing structures,the empirical frequency distribution can be easily obtained by simple sequence calculation.By using the normal probability model or skew probability model obtained by empirical frequency distribution regression,the relevant statistical parameters,failure probability and reliability index can be calculated.Through a large number of calculations and comparative analysis,the skew probability model has better adaptability in engineering practice,and the numerical calculation results further show that the approximation with the normal distribution will lead to a large error in the reliability index,and even affect the evaluation results of existing structures.A parameter estimation method based on Azzalini skew distribution function was proposed,and the functional relationship between failure probability and reliability index under skew distribution was established by using failure probability as a link.Taking a complex functional function as an example,it is shown that the reliability calculation method based on empirical frequency distribution for skew probability model proposed in this paper has the advantages of clear calculation steps,clear calculation objectives and high calculation accuracy,and can be applied to the reliability evaluation of existing engineering structures.
reliability of engineering structureempirical frequency distributionskew probability modelexisting structure evaluation