有理多项式技术在工程结构可靠度分析中的应用

Application of rational polynomial technique to reliability analysis of engineering structure

给出了在相关空间中改进 JC方法计算结构可靠指标的迭代格式 ,并采用有理多项式技术计算功能函数的偏导数 ,以模拟实际工程中常见的功能函数不能明确的可靠度计算问题。因此 ,功能函数无论是线性或非线性 ,显式或隐式 ,该方法都简单且适用。

In this paper, an iteration procedure for calculation of structural reliability index in the basic variables correlation space is proposed, and the rational polynomial technique is adopted to calculate the derivatives of the performance function at the design test point, which can simulate the reliability problems with the closed formed performance function in actual engineering. So, no matter the performance function is linear or nonlinear, explicit or inexplicit, this method is simple and suitable. Three illustrative examples are presented in this paper: first for linear and explicit performance function, second for nonlinear and explicit performance function, the third example for implicit performance function. The results for reliability index are compared with the other methods and show that this method has good efficiency and accuracy.