正交多项式拟合概率密度函数在可靠度计算中的应用

The Application of Polynomial Approximation Method in Reliability Analysis

在满足极限状态函数高阶矩的条件下,基于多项式的数值逼近方法,可应用于拟合概率密度函数,通过数值积分计算极限状态函数的高阶矩。从工程实际角度说,算例表明,该近似方法在计算失效概率和可靠指标方面有一定实用价值。

The numerical approximation method with basis of polynomial can be used to fitting the probability density tunction with restriction of expectation and high degree moments of limit state function, In this paper, the moments are divided by numerical integral. In the view of engineering practice, the examples show that the approximation method is a valuable approach in calculating the failure probability and reliability index of the structure components.