结构可靠性分析的多项式数值逼近法

Numerical approximation method in reliability analysis of engineering structure

提出了工程结构可靠性分析的多项式数值逼近法。它是以多项式 {1 ,x,… ,xn}为基 ,利用功能函数高阶矩 ,通过计算功能函数的最佳逼近概率密度函数 ,然后用工程结构可靠性分析的一般式来计算结构失效概率的可靠性分析新方法。通过理论分布曲线的数值检验和结构构件失效概率的计算 。

In this paper, a new numerical approximation method with basis of multinomial {1,x,...,x n} is presented, which is used in the reliability analysis of the engineering structures. The equations of optimal probability density function of stochastic variable or limit state function are derived by use of the higher moments of the function. Subsequently, a reliability index or failure probability of the engineering structures can be calculated. From the results of distribution curves and failure probability for the structural components, it is shown that the new method is valuable and practicable in engineering application.