一种基于区间过程模型的时变可靠性分析方法

本文提出了一种基于区间过程模型的时变可靠性分析方法来处理涉及区间变量和区间过程的问题.首先,定义一种基于极值响应的可靠性指标来度量区间变量和区间过程不确定性下结构的可靠性.其次,建立并求解一双层优化模型以获得可靠性指标.在内层中,使用EGO方法计算功能函数关于时间的极值响应;在外层中,对极值响应关于原始区间变量和区间过程级数展开获得的区间变量进行优化,以得到其上边界和下边界.最后,通过两个例子以验证本文方法的有效性.

A time-variant reliability analysis method based on interval process model

In this paper, a time-variant reliability analysis method based on the interval process model is proposed to deal with problems involving interval variables and interval processes. A reliability index based on the extreme response is first defined to measure the reliability of a structure under uncertainties modeled by interval variables and interval processes. Then a double-loop optimization is developed to calculate the reliability index. In the inner loop, the extreme response with respect to time is calculated using the efficient global optimization method. In the outer loop, an optimization with respect to all input interval variables, including the original ones and those obtained after the series expansion of the input interval processes, is performed to search for the upper and lower bounds of the extreme response. Two examples are used to demonstrate the effectiveness of the proposed method.