基于区间模型的结构非概率可靠性优化

Non-probabilistic reliability optimization of structures based on interval model

采用区间变量描述不确定参数,研究了结构非概率可靠性优化问题。基于区间模型描述不确定信息这一前提,针对Elishakoff的非概率可靠性指标,给出了其几何解释和求解方法。建立了以结构重量为目标函数、以非概率可靠性指标为约束条件的非概率可靠性优化模型。算例分析表明:该非概率可靠性优化方法能够考虑不确定信息的影响,对结构重量进行合理分配。该方法为结构非概率可靠性优化提供了一种新的思路。

The problem of non-probabilistic reliability-based optimization of structures with uncertain parameters described by interval variables is investigated.The geometric interpretation and solution methods of the non-probabilistic reliability index proposed by Elishakoff are presented.The non-probabilistic reliability-based optimization model of structures is established,in which the structural weight is taken as the objection function,and the non-probabilistic reliability index is taken as the constraint condition.Two numerical examples show that the proposed method can take the influence of uncertain information into account and may distribute the structural weight rationally.