基于非概率模型的结构可靠性优化设计

结构设计受控于诸多因素的不确定性。基于可靠性方法的优化设计是结构设计的合理途径。不确定结构的可靠性优化设计，通常是用概率模型求解。但概率模型的应用是以有足够的数据信息为基础的。且结构的概率可靠性优化设计通常计算量很大，设计效率低。本文基于不确定性的凸集模型描述，提出了一种不同的基于非概率可靠性的结构优化设计模型。它只需知道不定参量的界限，而不要求其分布型式。可显著降低可靠性优化的计算工作量。且由于对初始数据的要求低，具有较强的适用性。实例计算表明文中方法是实用和有效的。

Optimization of uncertain structures based on non-probabilistic reliability

Optimization of uncertain structures is usually based on probabilistic reliability procedure, which need a wealth of data on probabilistic parameters and may be often very expansive to solve. In the paper, a different strategy that makes use of the non\|probabilistic reliability method we proposed in a previous paper is used in the optimization of uncertain structures. In our method, the optimization problem is stated as minimizing the structural weight or cost, and satisfying the requirement on non\|probabilistic reliability of structural elements or system. Compared with the traditional probabilistic optimization, the proposed method requires less data be known. Only the bounds or ranges of variation of the uncertain parameters are required. This may alleviate the computational burden and may be a valid and reasonable alternative when the available information on the uncertain parameters is limited. A numerical example shows that the presented method is effective and feasible.