结构反应的内蕴相关性与可靠度分析

The inherent correlation of the structural response and reliability evaluation

结构体系可靠度分析迄今是一个困难的问题。本文首先阐明了等价极值事件的概念,指出在对等价极值事件的概率积分过程中内蕴了不同事件之间的相关性信息。进而对这一概念进行推广,针对一般的复杂失效准则下的结构可靠度分析问题,构造相应的等价极值事件,从而将结构可靠度分析问题转化为极值分布的计算与积分问题。通过对结构静力可靠度与动力可靠度的实例分析表明,基于等价极值事件进行结构可靠度分析是可行的。

The structural system reliability evaluation is still a difficult problem. In the present paper, a typical case is studied to illustrate that an equivalent extreme value event could be constructed so that the correlation information is inherent in the probabilistic integration of the equivalent extreme value. This concept could then be extended to deal with the reliability evaluation of general structures with complex failure criterion through constructing an equivalent extreme value event to evaluate the reliability through a simple integration of the extreme value distribution. Numerical examples on static and dynamic reliability evaluation demonstrate that the proposed method is versatile and of acceptable accuracy.